Rinaldo, Giancarlo; Terai, Naoki Licci level Stanley-Reisner ideals with height three. (English) Zbl 07713854 São Paulo J. Math. Sci. 17, No. 1, 345-386 (2023). MSC: 13F55 13H10 PDF BibTeX XML Cite \textit{G. Rinaldo} and \textit{N. Terai}, São Paulo J. Math. Sci. 17, No. 1, 345--386 (2023; Zbl 07713854) Full Text: DOI
Fouli, Louiza; Hà, Tài Huy; Morey, Susan Regular sequences on squares of monomial ideals. (English) Zbl 07713843 São Paulo J. Math. Sci. 17, No. 1, 122-146 (2023). MSC: 13C15 13D05 05E40 13P10 PDF BibTeX XML Cite \textit{L. Fouli} et al., São Paulo J. Math. Sci. 17, No. 1, 122--146 (2023; Zbl 07713843) Full Text: DOI arXiv
Costa, Bárbara; Dias, Thiago; Gondim, Rodrigo; Machado, Ricardo Counting square-free monomial Cremona maps. (English) Zbl 07713841 São Paulo J. Math. Sci. 17, No. 1, 76-101 (2023). MSC: 13A50 14E05 14E07 14Q99 52B20 05B20 05C50 11C20 PDF BibTeX XML Cite \textit{B. Costa} et al., São Paulo J. Math. Sci. 17, No. 1, 76--101 (2023; Zbl 07713841) Full Text: DOI arXiv
Banerjee, Arindam; Hà, Tài Huy Integral closures of powers of sums of ideals. (English) Zbl 07713778 J. Algebr. Comb. 58, No. 1, 307-323 (2023). Reviewer: Thanh Vu (Lincoln) MSC: 13D02 13C13 13B22 13D07 90C05 PDF BibTeX XML Cite \textit{A. Banerjee} and \textit{T. H. Hà}, J. Algebr. Comb. 58, No. 1, 307--323 (2023; Zbl 07713778) Full Text: DOI arXiv
Alesandroni, Guillermo Monomial invariants applied to graph coloring. (English) Zbl 07713768 J. Algebr. Comb. 58, No. 1, 95-112 (2023). MSC: 05C15 05C31 05C25 13A70 PDF BibTeX XML Cite \textit{G. Alesandroni}, J. Algebr. Comb. 58, No. 1, 95--112 (2023; Zbl 07713768) Full Text: DOI arXiv
Pournaki, M. R.; Poursoltani, M.; Terai, N.; Yassemi, S. On the dimension of dual modules of local cohomology and the Serre’s condition for the unmixed Stanley-Reisner ideals of small height. (English) Zbl 07710376 J. Algebra 632, 751-782 (2023). MSC: 13H10 13F55 05E40 05E45 PDF BibTeX XML Cite \textit{M. R. Pournaki} et al., J. Algebra 632, 751--782 (2023; Zbl 07710376) Full Text: DOI
Quy, Pham Hung; Trung, Ngo Viet When does a perturbation of the equations preserve the normal cone? (English) Zbl 07709424 Trans. Am. Math. Soc. 376, No. 7, 4957-4978 (2023). MSC: 13A30 13D10 13H15 13P10 14B12 PDF BibTeX XML Cite \textit{P. H. Quy} and \textit{N. V. Trung}, Trans. Am. Math. Soc. 376, No. 7, 4957--4978 (2023; Zbl 07709424) Full Text: DOI arXiv
Nikseresht, Ashkan Gorenstein and Cohen-Macaulay matching complexes. (English) Zbl 1517.13016 J. Algebra Appl. 22, No. 7, Article ID 2350146, 10 p. (2023). MSC: 13F55 05E40 05E45 PDF BibTeX XML Cite \textit{A. Nikseresht}, J. Algebra Appl. 22, No. 7, Article ID 2350146, 10 p. (2023; Zbl 1517.13016) Full Text: DOI arXiv
Ashitha, T.; Asir, T.; Pournaki, M. R. Some Cohen-Macaulay graphs arising from finite commutative rings. (English) Zbl 07703317 J. Algebra Appl. 22, No. 6, Article ID 2350129, 11 p. (2023). Reviewer: Ashkan Nikseresht (Shiraz) MSC: 13F55 13H10 05E40 05E45 PDF BibTeX XML Cite \textit{T. Ashitha} et al., J. Algebra Appl. 22, No. 6, Article ID 2350129, 11 p. (2023; Zbl 07703317) Full Text: DOI
Malić, Goran; Streinu, Ileana Computing circuit polynomials in the algebraic rigidity matroid. (English) Zbl 07702993 SIAM J. Appl. Algebra Geom. 7, No. 2, 345-385 (2023). MSC: 13F55 05B35 05E40 13P15 52C25 14Q20 51K05 51K99 68W30 13P10 PDF BibTeX XML Cite \textit{G. Malić} and \textit{I. Streinu}, SIAM J. Appl. Algebra Geom. 7, No. 2, 345--385 (2023; Zbl 07702993) Full Text: DOI arXiv
Nikseresht, Ashkan Line graphs with a Cohen-Macaulay or Gorenstein clique complex. (English) Zbl 1517.13015 Bull. Iran. Math. Soc. 49, No. 2, Paper No. 21, 9 p. (2023). MSC: 13F55 05E40 05E45 PDF BibTeX XML Cite \textit{A. Nikseresht}, Bull. Iran. Math. Soc. 49, No. 2, Paper No. 21, 9 p. (2023; Zbl 1517.13015) Full Text: DOI
Abdelmalek, Fred M.; Deshpande, Priyavrat; Goyal, Shuchita; Roy, Amit; Singh, Anurag Chordal graphs, higher independence and vertex decomposable complexes. (English) Zbl 1517.13014 Int. J. Algebra Comput. 33, No. 3, 481-498 (2023). Reviewer: Fahimeh Khosh-Ahang Ghasr (Ilam) MSC: 13F55 05E45 05C65 PDF BibTeX XML Cite \textit{F. M. Abdelmalek} et al., Int. J. Algebra Comput. 33, No. 3, 481--498 (2023; Zbl 1517.13014) Full Text: DOI arXiv
Jafari, Raheleh; Pour, Ali Akbar Yazdan Shedding vertices and ass-decomposable monomial ideals. (English) Zbl 07690300 Rocky Mt. J. Math. 53, No. 1, 89-101 (2023). Reviewer: Fahimeh Khosh-Ahang Ghasr (Ilam) MSC: 05E45 05C25 13F55 PDF BibTeX XML Cite \textit{R. Jafari} and \textit{A. A. Y. Pour}, Rocky Mt. J. Math. 53, No. 1, 89--101 (2023; Zbl 07690300) Full Text: DOI arXiv Link
Ficarra, Antonino; Herzog, Jürgen Dirac’s theorem and multigraded syzygies. (English) Zbl 1514.13023 Mediterr. J. Math. 20, No. 3, Paper No. 134, 18 p. (2023). Reviewer: Cristodor-Paul Ionescu (Bucureşti) MSC: 13F55 05E40 PDF BibTeX XML Cite \textit{A. Ficarra} and \textit{J. Herzog}, Mediterr. J. Math. 20, No. 3, Paper No. 134, 18 p. (2023; Zbl 1514.13023) Full Text: DOI arXiv
Nikseresht, Ashkan; Oboudi, Mohammad Reza On Gorenstein circulant graphs. (English) Zbl 1514.05186 Discrete Math. 346, No. 7, Article ID 113472, 6 p. (2023). MSC: 05E45 05C25 13A70 13F55 PDF BibTeX XML Cite \textit{A. Nikseresht} and \textit{M. R. Oboudi}, Discrete Math. 346, No. 7, Article ID 113472, 6 p. (2023; Zbl 1514.05186) Full Text: DOI arXiv
Fløystad, Gunnar; Orlich, Milo Triangulations of polygons and stacked simplicial complexes: separating their Stanley-Reisner ideals. (English) Zbl 07685202 J. Algebr. Comb. 57, No. 3, 659-686 (2023). MSC: 13F55 05C69 05C70 PDF BibTeX XML Cite \textit{G. Fløystad} and \textit{M. Orlich}, J. Algebr. Comb. 57, No. 3, 659--686 (2023; Zbl 07685202) Full Text: DOI arXiv
Fløystad, Gunnar Profunctors between posets and Alexander duality. (English) Zbl 07683084 Appl. Categ. Struct. 31, No. 2, Paper No. 22, 30 p. (2023). MSC: 06A06 18D60 13F55 PDF BibTeX XML Cite \textit{G. Fløystad}, Appl. Categ. Struct. 31, No. 2, Paper No. 22, 30 p. (2023; Zbl 07683084) Full Text: DOI arXiv
Shaukat, Bakhtawar; Haq, Ahtsham Ul; Ishaq, Muhammad Some algebraic invariants of the residue class rings of the edge ideals of perfect semiregular trees. (English) Zbl 07675448 Commun. Algebra 51, No. 6, 2364-2383 (2023). MSC: 13C15 13P10 13F20 PDF BibTeX XML Cite \textit{B. Shaukat} et al., Commun. Algebra 51, No. 6, 2364--2383 (2023; Zbl 07675448) Full Text: DOI arXiv
Mafi, Amir; Naderi, Dler; Soufivand, Parasto On vertex decomposability and regularity of graphs. (English) Zbl 1509.13030 Int. Electron. J. Algebra 33, 205-212 (2023). Reviewer: Cristodor-Paul Ionescu (Bucureşti) MSC: 13F55 05C75 13H10 PDF BibTeX XML Cite \textit{A. Mafi} et al., Int. Electron. J. Algebra 33, 205--212 (2023; Zbl 1509.13030) Full Text: arXiv Link
Hoffman, J. William; Wang, Haohao A study of a family of monomial ideals. (English) Zbl 1507.13010 J. Algebra Appl. 22, No. 3, Article ID 2350068, 23 p. (2023). Reviewer: Niels Lubbes (Linz) MSC: 13D02 14Q10 PDF BibTeX XML Cite \textit{J. W. Hoffman} and \textit{H. Wang}, J. Algebra Appl. 22, No. 3, Article ID 2350068, 23 p. (2023; Zbl 1507.13010) Full Text: DOI
Mafi, Amir; Saremi, Hero Strong persistence and associated primes of powers of monomial ideals. (English) Zbl 1511.13005 Commun. Algebra 51, No. 2, 859-863 (2023). Reviewer: Catalin Ciuperca (Fargo) MSC: 13A15 13A30 13C15 PDF BibTeX XML Cite \textit{A. Mafi} and \textit{H. Saremi}, Commun. Algebra 51, No. 2, 859--863 (2023; Zbl 1511.13005) Full Text: DOI arXiv
Nasrollah Nejad, Abbas; Yazdan Pour, Ali Akbar The Valabrega-Valla module of monomial ideals. (English) Zbl 1511.13006 J. Algebra Appl. 22, No. 2, Article ID 2350053, 21 p. (2023). Reviewer: Hanieh Keneshlou (Leipzig) MSC: 13A30 13F55 05E40 14E15 14C17 PDF BibTeX XML Cite \textit{A. Nasrollah Nejad} and \textit{A. A. Yazdan Pour}, J. Algebra Appl. 22, No. 2, Article ID 2350053, 21 p. (2023; Zbl 1511.13006) Full Text: DOI arXiv
Caviglia, Giulio; Sammartano, Alessio Syzygies in Hilbert schemes of complete intersections. (English) Zbl 07648544 J. Algebra 619, 538-557 (2023). MSC: 13D02 13C40 13F55 14C05 PDF BibTeX XML Cite \textit{G. Caviglia} and \textit{A. Sammartano}, J. Algebra 619, 538--557 (2023; Zbl 07648544) Full Text: DOI arXiv
Dupont, Luis A.; Muñoz-George, Humberto; Villarreal, Rafael H. Normality criteria for monomial ideals. (English) Zbl 1505.13020 Result. Math. 78, No. 1, Paper No. 34, 31 p. (2023). Reviewer: Jorge Neves (Coimbra) MSC: 13C70 13B22 13F55 13A30 05E40 PDF BibTeX XML Cite \textit{L. A. Dupont} et al., Result. Math. 78, No. 1, Paper No. 34, 31 p. (2023; Zbl 1505.13020) Full Text: DOI arXiv
Guo, Ying; Du, Xiankun; Xu, Xiaowei Armendariz property of \(k[x,y]\) modulo monomial ideals. (English) Zbl 07692935 Commun. Math. Res. 38, No. 3, 422-430 (2022). MSC: 16S36 16D25 PDF BibTeX XML Cite \textit{Y. Guo} et al., Commun. Math. Res. 38, No. 3, 422--430 (2022; Zbl 07692935) Full Text: DOI
Afsharijoo, Pooneh; Dousse, Jehanne; Jouhet, Frédéric; Mourtada, Hussein New companions to Gordon identities from commutative algebra. (English) Zbl 1515.05030 Sémin. Lothar. Comb. 86B, Article 48, 12 p. (2022). MSC: 05A19 05A17 13A70 PDF BibTeX XML Cite \textit{P. Afsharijoo} et al., Sémin. Lothar. Comb. 86B, Article 48, 12 p. (2022; Zbl 1515.05030) Full Text: Link
Hofstadler, Clemens; Raab, Clemens G.; Regensburger, Georg Computing elements of certain form in ideals to prove properties of operators. (English) Zbl 07646553 Math. Comput. Sci. 16, No. 2-3, Paper No. 17, 19 p. (2022). MSC: 16Z10 03B35 PDF BibTeX XML Cite \textit{C. Hofstadler} et al., Math. Comput. Sci. 16, No. 2--3, Paper No. 17, 19 p. (2022; Zbl 07646553) Full Text: DOI arXiv
Hibi, Takayuki; Mahmood, Hasan The \(\mathcal{NF}\)-number of a simplicial complex. (English) Zbl 1506.13035 Algebra Colloq. 29, No. 4, 643-650 (2022). Reviewer: Jorge Neves (Coimbra) MSC: 13F55 05E45 PDF BibTeX XML Cite \textit{T. Hibi} and \textit{H. Mahmood}, Algebra Colloq. 29, No. 4, 643--650 (2022; Zbl 1506.13035) Full Text: DOI arXiv
Erey, Nursel; Hibi, Takayuki The size of Betti tables of edge ideals arising from bipartite graphs. (English) Zbl 1505.13029 Proc. Am. Math. Soc. 150, No. 12, 5073-5083 (2022). Reviewer: Giuseppe Favacchio (Palermo) MSC: 13F55 05C25 05C70 05E40 13D02 PDF BibTeX XML Cite \textit{N. Erey} and \textit{T. Hibi}, Proc. Am. Math. Soc. 150, No. 12, 5073--5083 (2022; Zbl 1505.13029) Full Text: DOI arXiv
Cisto, Carmelo; Navarra, Francesco; Utano, Rosanna On Gröbner basis and Cohen-Macaulay property of closed path polyominoes. (English) Zbl 1498.05051 Electron. J. Comb. 29, No. 3, Research Paper P3.54, 22 p. (2022). MSC: 05B50 05E40 13P10 13C05 13G05 13C14 PDF BibTeX XML Cite \textit{C. Cisto} et al., Electron. J. Comb. 29, No. 3, Research Paper P3.54, 22 p. (2022; Zbl 1498.05051) Full Text: DOI arXiv
Zhu, Guangjun; Wang, Hong; Cui, Yijun The facet ideals of matching complexes of line graphs. (English) Zbl 1504.13027 J. Algebr. Comb. 56, No. 3, 955-967 (2022). Reviewer: Kriti Goel (Mumbai) MSC: 13F55 13D05 13C15 13D02 PDF BibTeX XML Cite \textit{G. Zhu} et al., J. Algebr. Comb. 56, No. 3, 955--967 (2022; Zbl 1504.13027) Full Text: DOI arXiv
Chen, Ri-Xiang Lcm-lattice, Taylor bases and minimal free resolutions of a monomial ideal. (English) Zbl 1504.13015 J. Algebra Appl. 21, No. 11, Article ID 2250216, 52 p. (2022). Reviewer: Kriti Goel (Mumbai) MSC: 13D02 13F55 PDF BibTeX XML Cite \textit{R.-X. Chen}, J. Algebra Appl. 21, No. 11, Article ID 2250216, 52 p. (2022; Zbl 1504.13015) Full Text: DOI arXiv
Bilal, Hafiz Muhammad; Ahmed, Sarfraz; Mahmood, Hasan; Binyamin, Muhammad Ahsan The \(\mathcal{NF}\)-number of two complete graphs joined by a common vertex. (English) Zbl 1513.13051 C. R. Acad. Bulg. Sci. 75, No. 5, 640-648 (2022). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 13F20 05E45 13F55 13C14 PDF BibTeX XML Cite \textit{H. M. Bilal} et al., C. R. Acad. Bulg. Sci. 75, No. 5, 640--648 (2022; Zbl 1513.13051) Full Text: DOI
Moreno, Eduardo Camps; Kohne, Craig; Sarmiento, Eliseo; van Tuyl, Adam On the Waldschmidt constant of square-free principal Borel ideals. (English) Zbl 1499.13062 Proc. Am. Math. Soc. 150, No. 10, 4145-4157 (2022). Reviewer: Halszka Tutaj-Gasinska (Kraków) MSC: 13F20 13F55 PDF BibTeX XML Cite \textit{E. C. Moreno} et al., Proc. Am. Math. Soc. 150, No. 10, 4145--4157 (2022; Zbl 1499.13062) Full Text: DOI arXiv
Kumar, Ajay; Singh, Pavinder; Verma, Rohit Certain homological invariants of bipartite Kneser graphs. (English) Zbl 1498.13058 J. Algebra Appl. 21, No. 10, Article ID 2250206, 18 p. (2022). Reviewer: Ashkan Nikseresht (Shiraz) MSC: 13F55 05E40 13D02 PDF BibTeX XML Cite \textit{A. Kumar} et al., J. Algebra Appl. 21, No. 10, Article ID 2250206, 18 p. (2022; Zbl 1498.13058) Full Text: DOI arXiv
Iqbal, Adnan; Ishaq, Muhammad Depth and Stanley depth of the quotient rings of edge ideals of some lobster trees and unicyclic graphs. (English) Zbl 1497.13031 Turk. J. Math. 46, No. 5, SI-2, 1886-1896 (2022). Reviewer: Jorge Neves (Coimbra) MSC: 13C15 13F20 PDF BibTeX XML Cite \textit{A. Iqbal} and \textit{M. Ishaq}, Turk. J. Math. 46, No. 5, 1886--1896 (2022; Zbl 1497.13031) Full Text: DOI
Zhu, Guangjun; Zhao, Yakun; Cui, Yijun Freiman \(t\)-spread principal Borel ideals. (English. Russian original) Zbl 1499.13064 Math. Notes 112, No. 2, 191-198 (2022); translation from Mat. Zametki 112, No. 2, 188-197 (2022). Reviewer: Ali Akbar Yazdan Pour (Zanjan) MSC: 13F20 13F55 PDF BibTeX XML Cite \textit{G. Zhu} et al., Math. Notes 112, No. 2, 191--198 (2022; Zbl 1499.13064); translation from Mat. Zametki 112, No. 2, 188--197 (2022) Full Text: DOI arXiv
Ramkumar, Ritvik; Sammartano, Alessio On the tangent space to the Hilbert scheme of points in \(\mathbf{P}^3\). (English) Zbl 1502.14016 Trans. Am. Math. Soc. 375, No. 9, 6179-6203 (2022). Reviewer: Juan C. Migliore (Notre Dame) MSC: 14C05 13D07 05E40 PDF BibTeX XML Cite \textit{R. Ramkumar} and \textit{A. Sammartano}, Trans. Am. Math. Soc. 375, No. 9, 6179--6203 (2022; Zbl 1502.14016) Full Text: DOI arXiv
Hoa, Le Tuan Maximal generating degrees of integral closures of powers of monomial ideals. (English) Zbl 1495.13034 J. Algebr. Comb. 56, No. 2, 279-304 (2022). Reviewer: Jorge Neves (Coimbra) MSC: 13F55 05E40 PDF BibTeX XML Cite \textit{L. T. Hoa}, J. Algebr. Comb. 56, No. 2, 279--304 (2022; Zbl 1495.13034) Full Text: DOI
Achilles, Rüdiger; Manaresi, Mirella Generalized Samuel multiplicities of monomial ideals and volumes. (English) Zbl 1498.13066 Exp. Math. 31, No. 2, 611-620 (2022). Reviewer: Catalin Ciuperca (Fargo) MSC: 13H15 13F20 52B20 PDF BibTeX XML Cite \textit{R. Achilles} and \textit{M. Manaresi}, Exp. Math. 31, No. 2, 611--620 (2022; Zbl 1498.13066) Full Text: DOI Link
Alesandroni, Guillermo Hilbert’s syzygy theorem for monomial ideals. (English) Zbl 1491.13020 Int. Electron. J. Algebra 32, 80-85 (2022). MSC: 13D02 PDF BibTeX XML Cite \textit{G. Alesandroni}, Int. Electron. J. Algebra 32, 80--85 (2022; Zbl 1491.13020) Full Text: DOI arXiv
Honeycutt, Jacob; Sather-Wagstaff, Keri Closed neighborhood ideals of finite simple graphs. (English) Zbl 1493.13030 Matematica 1, No. 2, 387-394 (2022). Reviewer: Ashkan Nikseresht (Shiraz) MSC: 13F55 05E40 13H10 05C05 PDF BibTeX XML Cite \textit{J. Honeycutt} and \textit{K. Sather-Wagstaff}, Matematica 1, No. 2, 387--394 (2022; Zbl 1493.13030) Full Text: DOI arXiv
Quang Lôc, Nguyên; Công Minh, Nguyên; Thi Thuy, Phan Extremal Betti numbers of symbolic powers of two-dimensional squarefree monomial ideals. (English) Zbl 1490.13032 Int. J. Algebra Comput. 32, No. 5, 1043-1069 (2022). Reviewer: Jorge Neves (Coimbra) MSC: 13H10 13C14 05E40 05E45 PDF BibTeX XML Cite \textit{N. Quang Lôc} et al., Int. J. Algebra Comput. 32, No. 5, 1043--1069 (2022; Zbl 1490.13032) Full Text: DOI
Cooper, Susan M.; El Khoury, Sabine; Faridi, Sara; Mayes-Tang, Sarah; Morey, Susan; Şega, Liana M.; Spiroff, Sandra Powers of graphs & applications to resolutions of powers of monomial ideals. (English) Zbl 1494.13024 Res. Math. Sci. 9, No. 2, Paper No. 31, 25 p. (2022). Reviewer: Tongsuo Wu (Shanghai) MSC: 13F55 13F20 05E40 PDF BibTeX XML Cite \textit{S. M. Cooper} et al., Res. Math. Sci. 9, No. 2, Paper No. 31, 25 p. (2022; Zbl 1494.13024) Full Text: DOI arXiv
Guo, Jin; Li, Meiyan; Wu, Tongsuo A new view toward vertex decomposable graphs. (English) Zbl 1491.05205 Discrete Math. 345, No. 9, Article ID 112953, 9 p. (2022). MSC: 05E40 05C70 05C25 13A70 13F55 PDF BibTeX XML Cite \textit{J. Guo} et al., Discrete Math. 345, No. 9, Article ID 112953, 9 p. (2022; Zbl 1491.05205) Full Text: DOI
Kimura, K.; Pournaki, M. R.; Terai, N.; Yassemi, S. Very well-covered graphs and local cohomology of their residue rings by the edge ideals. (English) Zbl 1491.13030 J. Algebra 606, 1-18 (2022). Reviewer: Jorge Neves (Coimbra) MSC: 13F55 13H10 05C75 13D45 05C90 55U10 PDF BibTeX XML Cite \textit{K. Kimura} et al., J. Algebra 606, 1--18 (2022; Zbl 1491.13030) Full Text: DOI
Kimura, K.; Pournaki, M. R.; Seyed Fakhari, S. A.; Terai, N.; Yassemi, S. A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra. (English) Zbl 07537320 Res. Math. Sci. 9, No. 2, Paper No. 29, 18 p. (2022). MSC: 13F55 05C70 05C69 05E40 05C75 13D45 13H10 55U10 13-02 PDF BibTeX XML Cite \textit{K. Kimura} et al., Res. Math. Sci. 9, No. 2, Paper No. 29, 18 p. (2022; Zbl 07537320) Full Text: DOI
Kim, Mee-Kyoung Remark on Rees valuations of finitely supported complete monomial ideals in a regular local ring. (English) Zbl 1487.13012 Commun. Algebra 50, No. 8, 3618-3629 (2022). MSC: 13A30 13C05 13E05 13H15 PDF BibTeX XML Cite \textit{M.-K. Kim}, Commun. Algebra 50, No. 8, 3618--3629 (2022; Zbl 1487.13012) Full Text: DOI
Ficarra, Antonino; Crupi, Marilena Shifting operations and completely \(t\)-spread lexsegment ideals. (English) Zbl 1492.13029 Commun. Algebra 50, No. 8, 3320-3337 (2022). Reviewer: Cristodor-Paul Ionescu (Bucureşti) MSC: 13F55 05E40 13B25 13A02 PDF BibTeX XML Cite \textit{A. Ficarra} and \textit{M. Crupi}, Commun. Algebra 50, No. 8, 3320--3337 (2022; Zbl 1492.13029) Full Text: DOI arXiv
Cooper, Susan M.; El Khoury, Sabine; Faridi, Sara; Mayes-Tang, Sarah; Morey, Susan; Şega, Liana M.; Spiroff, Sandra Morse resolutions of powers of square-free monomial ideals of projective dimension one. (English) Zbl 1487.13003 J. Algebr. Comb. 55, No. 4, 1085-1122 (2022). Reviewer: Jorge Neves (Coimbra) MSC: 13A15 13D02 05E40 13F55 PDF BibTeX XML Cite \textit{S. M. Cooper} et al., J. Algebr. Comb. 55, No. 4, 1085--1122 (2022; Zbl 1487.13003) Full Text: DOI arXiv
Faridi, Sara; Shahada, Mayada Correction to: “Breaking up simplicial homology and subadditivity of syzygies”. (English) Zbl 1493.13006 J. Algebr. Comb. 55, No. 3, 1029 (2022). MSC: 13A15 13D02 13F55 05E40 05E45 PDF BibTeX XML Cite \textit{S. Faridi} and \textit{M. Shahada}, J. Algebr. Comb. 55, No. 3, 1029 (2022; Zbl 1493.13006) Full Text: DOI
Erey, Nursel Rooted order on minimal generators of powers of some cover ideals. (English) Zbl 1496.13033 Osaka J. Math. 59, No. 2, 253-267 (2022). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13F55 06A05 13C70 05C38 05E40 PDF BibTeX XML Cite \textit{N. Erey}, Osaka J. Math. 59, No. 2, 253--267 (2022; Zbl 1496.13033) Full Text: arXiv Link
Yengui, Ihsen The trailing terms ideal over a valuation domain. (English) Zbl 1487.13011 Commun. Algebra 50, No. 6, 2290-2295 (2022). Reviewer: Amir Hashemi (Isfahan) MSC: 13A18 13C13 13D02 13F05 13F30 13P99 PDF BibTeX XML Cite \textit{I. Yengui}, Commun. Algebra 50, No. 6, 2290--2295 (2022; Zbl 1487.13011) Full Text: DOI
Fakhari, S. A. S. On the depth of symbolic powers of edge ideals of graphs. (English) Zbl 1486.13019 Nagoya Math. J. 245, 28-40 (2022). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13C15 13F55 05E40 PDF BibTeX XML Cite \textit{S. A. S. Fakhari}, Nagoya Math. J. 245, 28--40 (2022; Zbl 1486.13019) Full Text: DOI arXiv
Hayasaka, Futoshi Indecomposable integrally closed modules of arbitrary rank over a two-dimensional regular local ring. (English) Zbl 1490.13012 J. Pure Appl. Algebra 226, No. 8, Article ID 107026, 26 p. (2022). Reviewer: Karl-Heinz Kiyek (Paderborn) MSC: 13B22 13H05 PDF BibTeX XML Cite \textit{F. Hayasaka}, J. Pure Appl. Algebra 226, No. 8, Article ID 107026, 26 p. (2022; Zbl 1490.13012) Full Text: DOI arXiv
Le Tuan Hoa Asymptotic behavior of integer programming and the stability of the Castelnuovo-Mumford regularity. (English) Zbl 1487.13040 Math. Program. 193, No. 1 (A), 157-194 (2022). Reviewer: Do Ngoc Diep (Hanoi) MSC: 13D45 90C10 PDF BibTeX XML Cite \textit{Le Tuan Hoa}, Math. Program. 193, No. 1 (A), 157--194 (2022; Zbl 1487.13040) Full Text: DOI arXiv
Abedelfatah, Abed Some results on the subadditivity condition of syzygies. (English) Zbl 1492.13028 Collect. Math. 73, No. 2, 173-179 (2022). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13F55 13D02 13F20 PDF BibTeX XML Cite \textit{A. Abedelfatah}, Collect. Math. 73, No. 2, 173--179 (2022; Zbl 1492.13028) Full Text: DOI arXiv
Hibi, Takayuki; Matsuda, Kazunori Regularity and \(h\)-polynomials of binomial edge ideals. (English) Zbl 1486.05326 Acta Math. Vietnam. 47, No. 1, 369-374 (2022). MSC: 05E40 13H10 13P10 13F55 13C70 PDF BibTeX XML Cite \textit{T. Hibi} and \textit{K. Matsuda}, Acta Math. Vietnam. 47, No. 1, 369--374 (2022; Zbl 1486.05326) Full Text: DOI arXiv
Hoa, Le Tuan Maximal generating degrees of powers of homogeneous ideals. (English) Zbl 1486.13030 Acta Math. Vietnam. 47, No. 1, 19-37 (2022). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13F20 13F55 05E40 90C10 PDF BibTeX XML Cite \textit{L. T. Hoa}, Acta Math. Vietnam. 47, No. 1, 19--37 (2022; Zbl 1486.13030) Full Text: DOI arXiv
Almousa, Ayah; VandeBogert, Keller Linear strands of initial ideals of determinantal facet ideals. (English) Zbl 1498.13054 Commun. Algebra 50, No. 5, 2198-2214 (2022). MSC: 13F20 13F55 55U10 05E40 PDF BibTeX XML Cite \textit{A. Almousa} and \textit{K. VandeBogert}, Commun. Algebra 50, No. 5, 2198--2214 (2022; Zbl 1498.13054) Full Text: DOI arXiv
D’Anna, Marco; Jafari, Raheleh; Strazzanti, Francesco Simplicial affine semigroups with monomial minimal reduction ideals. (English) Zbl 1487.13048 Mediterr. J. Math. 19, No. 2, Paper No. 84, 17 p. (2022). Reviewer: Jugal K. Verma (Mumbai) MSC: 13H15 13H10 05E40 20M25 PDF BibTeX XML Cite \textit{M. D'Anna} et al., Mediterr. J. Math. 19, No. 2, Paper No. 84, 17 p. (2022; Zbl 1487.13048) Full Text: DOI arXiv
Biermann, Jennifer; Kara, Selvi; Lin, Kuei-Nuan; O’Keefe, Augustine Toric ideals of weighted oriented graphs. (English) Zbl 1489.13034 Int. J. Algebra Comput. 32, No. 2, 307-325 (2022). Reviewer: Giuseppe Favacchio (Palermo) MSC: 13F65 13A70 05C50 05C38 05E40 13C05 13F55 05C20 14M25 PDF BibTeX XML Cite \textit{J. Biermann} et al., Int. J. Algebra Comput. 32, No. 2, 307--325 (2022; Zbl 1489.13034) Full Text: DOI arXiv
Donato, Joseph; Lewis, Monica; Ryan, Tim; Udrenas, Faustas; Zhang, Zijian The sum of the Betti numbers of smooth Hilbert schemes. (English) Zbl 1485.14006 J. Algebr. Comb. 55, No. 2, 393-411 (2022). Reviewer: Zhenbo Qin (Columbia) MSC: 14C05 13D02 PDF BibTeX XML Cite \textit{J. Donato} et al., J. Algebr. Comb. 55, No. 2, 393--411 (2022; Zbl 1485.14006) Full Text: DOI arXiv
Faridi, Sara; Shahada, Mayada Breaking up simplicial homology and subadditivity of syzygies. (English) Zbl 1489.13002 J. Algebr. Comb. 55, No. 2, 277-295 (2022); correction ibid. 55, No. 3, 1029 (2022). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13A15 13D02 13F55 05E40 05E45 PDF BibTeX XML Cite \textit{S. Faridi} and \textit{M. Shahada}, J. Algebr. Comb. 55, No. 2, 277--295 (2022; Zbl 1489.13002) Full Text: DOI arXiv
Grisalde, Gonzalo; Seceleanu, Alexandra; Villarreal, Rafael H. Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals. (English) Zbl 1481.13029 Res. Math. Sci. 9, No. 1, Paper No. 13, 33 p. (2022). Reviewer: Hero Saremi (Sanandaj) MSC: 13C70 13F20 13F55 05E40 13A30 13B22 PDF BibTeX XML Cite \textit{G. Grisalde} et al., Res. Math. Sci. 9, No. 1, Paper No. 13, 33 p. (2022; Zbl 1481.13029) Full Text: DOI arXiv
Erey, Nursel; Herzog, Jürgen; Hibi, Takayuki; Saeedi Madani, Sara Matchings and squarefree powers of edge ideals. (English) Zbl 1491.13029 J. Comb. Theory, Ser. A 188, Article ID 105585, 24 p. (2022). Reviewer: Ali Akbar Yazdan Pour (Zanjan) MSC: 13F55 05E40 05C25 13A70 13C10 PDF BibTeX XML Cite \textit{N. Erey} et al., J. Comb. Theory, Ser. A 188, Article ID 105585, 24 p. (2022; Zbl 1491.13029) Full Text: DOI arXiv
Nikseresht, Ashkan Deriving some properties of Stanley-Reisner rings from their squarefree zero-divisor graph. (English) Zbl 1489.13009 Int. Electron. J. Algebra 31, 121-133 (2022). Reviewer: Vinayak Joshi (Pune) MSC: 13A70 13F55 13C70 05C25 05E40 PDF BibTeX XML Cite \textit{A. Nikseresht}, Int. Electron. J. Algebra 31, 121--133 (2022; Zbl 1489.13009) Full Text: DOI
Higashitani, Akihiro; Ueyama, Kenta Combinatorial study of stable categories of graded Cohen-Macaulay modules over skew quadric hypersurfaces. (English) Zbl 1505.16021 Collect. Math. 73, No. 1, 43-54 (2022). MSC: 16G50 05C50 13F55 16S38 18G80 14A22 PDF BibTeX XML Cite \textit{A. Higashitani} and \textit{K. Ueyama}, Collect. Math. 73, No. 1, 43--54 (2022; Zbl 1505.16021) Full Text: DOI arXiv
Almousa, Ayah; Fløystad, Gunnar; Lohne, Henning Polarizations of powers of graded maximal ideals. (English) Zbl 1481.13035 J. Pure Appl. Algebra 226, No. 5, Article ID 106924, 33 p. (2022). Reviewer: Giuseppe Favacchio (Catania) MSC: 13F20 13F55 55U10 05E40 PDF BibTeX XML Cite \textit{A. Almousa} et al., J. Pure Appl. Algebra 226, No. 5, Article ID 106924, 33 p. (2022; Zbl 1481.13035) Full Text: DOI arXiv
Ramkumar, Ritvik; Sammartano, Alessio On the smoothness of lexicographic points on Hilbert schemes. (English) Zbl 1471.14011 J. Pure Appl. Algebra 226, No. 3, Article ID 106872, 12 p. (2022). Reviewer: Scott Nollet (Fort Worth) MSC: 14C05 13F20 13F55 15A75 PDF BibTeX XML Cite \textit{R. Ramkumar} and \textit{A. Sammartano}, J. Pure Appl. Algebra 226, No. 3, Article ID 106872, 12 p. (2022; Zbl 1471.14011) Full Text: DOI arXiv
Mondal, Mandira \(\beta\)-density function on the class group of projective toric varieties. (English) Zbl 1484.14100 J. Pure Appl. Algebra 226, No. 2, Article ID 106845, 21 p. (2022). MSC: 14M25 13D40 13H15 52B20 PDF BibTeX XML Cite \textit{M. Mondal}, J. Pure Appl. Algebra 226, No. 2, Article ID 106845, 21 p. (2022; Zbl 1484.14100) Full Text: DOI arXiv
Nemati, Navid; Pournaki, Mohammad Reza; Yassemi, Siamak Componentwise linearity and the gcd condition are preserved by the polarization. (English) Zbl 07691454 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 64(112), No. 4, 391-399 (2021). MSC: 13F55 13D02 13F20 PDF BibTeX XML Cite \textit{N. Nemati} et al., Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 64(112), No. 4, 391--399 (2021; Zbl 07691454)
Nú {n}ez-Betancourt, Luis; Pitones, Yuriko; Villarreal, Rafael H. Bounds for the minimum distance function. (English) Zbl 07660067 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 29, No. 3, 229-242 (2021). MSC: 13D40 13H10 13P25 PDF BibTeX XML Cite \textit{L. Nú~{n}ez-Betancourt} et al., An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 29, No. 3, 229--242 (2021; Zbl 07660067) Full Text: DOI arXiv
Huy Tài Hà; Ngo Viet Trung Depth functions and symbolic depth functions of homogeneous ideals. (English) Zbl 1498.13022 Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 429-443 (2021). MSC: 13C15 13D02 14B05 PDF BibTeX XML Cite \textit{Huy Tài Hà} and \textit{Ngo Viet Trung}, in: Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 429--443 (2021; Zbl 1498.13022) Full Text: DOI arXiv
Fröberg, Ralf Stanley-Reisner rings. (English) Zbl 1505.13030 Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 317-341 (2021). Reviewer: Fahimeh Khosh-Ahang Ghasr (Ilam) MSC: 13F55 13-02 PDF BibTeX XML Cite \textit{R. Fröberg}, in: Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 317--341 (2021; Zbl 1505.13030) Full Text: DOI
Al-Ayyoub, Ibrahim; Nasernejad, Mehrdad; Khashyarmanesh, Kazem; Roberts, Leslie G.; Quiñonez, Veronica Crispin Results on the normality of square-free monomial ideals and cover ideals under some graph operations. (English) Zbl 1487.13043 Math. Scand. 127, No. 3, 441-457 (2021). Reviewer: Jorge Neves (Coimbra) MSC: 13F20 05E40 13F55 PDF BibTeX XML Cite \textit{I. Al-Ayyoub} et al., Math. Scand. 127, No. 3, 441--457 (2021; Zbl 1487.13043) Full Text: DOI arXiv
Naghipour, Reza; Mollamahmoudi, Simin Some properties of monomial ideals on regular sequences in a Noetherian ring. (English) Zbl 1494.13010 Palest. J. Math. 10, No. 2, 802-808 (2021). Reviewer: Driss Karim (Mohammadia) MSC: 13B22 13E05 13A15 PDF BibTeX XML Cite \textit{R. Naghipour} and \textit{S. Mollamahmoudi}, Palest. J. Math. 10, No. 2, 802--808 (2021; Zbl 1494.13010) Full Text: Link
Din, Naeem Ud; Ishaq, Muhammad; Sajid, Zunaira Values and bounds for depth and Stanley depth of some classes of edge ideals. (English) Zbl 1484.13029 AIMS Math. 6, No. 8, 8544-8566 (2021). MSC: 13C15 13P10 13F55 13F20 PDF BibTeX XML Cite \textit{N. U. Din} et al., AIMS Math. 6, No. 8, 8544--8566 (2021; Zbl 1484.13029) Full Text: DOI
Nandi, Rimpa; Nanduri, Ramakrishna Upper bounds for the regularity of gap-free graphs in terms of minimal triangulation. (English) Zbl 1487.13031 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 236, 9 p. (2021). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13D02 05E40 13F55 PDF BibTeX XML Cite \textit{R. Nandi} and \textit{R. Nanduri}, Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 236, 9 p. (2021; Zbl 1487.13031) Full Text: DOI
Idrees, Nazeran; Nawaz, Hafiza Nimra Hilbert function and facet ideals of products of simplicial complexes. (English) Zbl 1483.13036 Indian J. Pure Appl. Math. 52, No. 3, 787-798 (2021). Reviewer: Ali Akbar Yazdan Pour (Zanjan) MSC: 13F55 05C07 05C40 55U10 05-01 PDF BibTeX XML Cite \textit{N. Idrees} and \textit{H. N. Nawaz}, Indian J. Pure Appl. Math. 52, No. 3, 787--798 (2021; Zbl 1483.13036) Full Text: DOI
Bodas, Hrishikesh; Drabkin, Benjamin; Fong, Caleb; Jin, Su; Kim, Justin; Li, Wenxuan; Seceleanu, Alexandra; Tang, Tingting; Williams, Brendan Consequences of the packing problem. (English) Zbl 1489.13021 J. Algebr. Comb. 54, No. 4, 1095-1117 (2021). Reviewer: Susan Morey (San Marcos) MSC: 13C70 13F55 05E40 05C65 PDF BibTeX XML Cite \textit{H. Bodas} et al., J. Algebr. Comb. 54, No. 4, 1095--1117 (2021; Zbl 1489.13021) Full Text: DOI arXiv
Bigdeli, Mina Edge ideals with almost maximal finite index and their powers. (English) Zbl 1482.13022 J. Algebr. Comb. 54, No. 3, 947-978 (2021). Reviewer: A. Nikseresht (Shiraz) MSC: 13F55 05E40 13D02 PDF BibTeX XML Cite \textit{M. Bigdeli}, J. Algebr. Comb. 54, No. 3, 947--978 (2021; Zbl 1482.13022) Full Text: DOI arXiv
Seyed Fakhari, Seyed Amin; Shibata, Kosuke; Terai, Naoki; Yassemi, Siamak Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs. (English) Zbl 1475.13040 Commun. Algebra 49, No. 10, 4249-4257 (2021). MSC: 13F55 13D02 05C22 13H10 13F20 05C75 05C25 05E40 PDF BibTeX XML Cite \textit{S. A. Seyed Fakhari} et al., Commun. Algebra 49, No. 10, 4249--4257 (2021; Zbl 1475.13040) Full Text: DOI arXiv
Huang, I-Chiau; Jafari, Raheleh Coefficient rings of numerical semigroup algebras. (English) Zbl 1493.13007 Semigroup Forum 103, No. 3, 899-915 (2021). Reviewer: Francesco Strazzanti (Torino) MSC: 13A15 20M14 13H10 20M25 PDF BibTeX XML Cite \textit{I-C. Huang} and \textit{R. Jafari}, Semigroup Forum 103, No. 3, 899--915 (2021; Zbl 1493.13007) Full Text: DOI arXiv
Amata, Luca; Crupi, Marilena On the extremal Betti numbers of squarefree monomial ideals. (English) Zbl 1478.13013 Int. Electron. J. Algebra 30, 168-202 (2021). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13B25 13D02 16W50 05E40 68W30 PDF BibTeX XML Cite \textit{L. Amata} and \textit{M. Crupi}, Int. Electron. J. Algebra 30, 168--202 (2021; Zbl 1478.13013) Full Text: DOI arXiv
Iqbal, Zahid; Ishaq, Muhammad; Binyamin, Muhammad Ahsan Depth and Stanley depth of the edge ideals of the strong product of some graphs. (English) Zbl 1481.13028 Hacet. J. Math. Stat. 50, No. 1, 92-109 (2021). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13C15 13F20 05C38 13F55 05C25 05C76 PDF BibTeX XML Cite \textit{Z. Iqbal} et al., Hacet. J. Math. Stat. 50, No. 1, 92--109 (2021; Zbl 1481.13028) Full Text: DOI arXiv
Mafi, Amir; Naderi, Dler Linear resolutions and polymatroidal ideals. (English) Zbl 1477.13014 Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 25, 15 p. (2021). Reviewer: Somayeh Bandari (Qazvin) MSC: 13A30 13F20 13C13 13B30 PDF BibTeX XML Cite \textit{A. Mafi} and \textit{D. Naderi}, Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 25, 15 p. (2021; Zbl 1477.13014) Full Text: DOI arXiv
Trung, Tran Nam On Gorenstein graphs. (English) Zbl 1478.13028 J. Algebr. Comb. 54, No. 2, 673-688 (2021). Reviewer: Kamran Divaani-Aazar (Tehran) MSC: 13D45 13C70 15A69 13F55 PDF BibTeX XML Cite \textit{T. N. Trung}, J. Algebr. Comb. 54, No. 2, 673--688 (2021; Zbl 1478.13028) Full Text: DOI
Bergman, George M. Which group algebras cannot be made zero by imposing a single non-monomial relation? (English) Zbl 1515.20038 Commun. Algebra 49, No. 9, 3760-3776 (2021). Reviewer: Enrico Jabara (Venezia) MSC: 20C07 20E05 20F16 PDF BibTeX XML Cite \textit{G. M. Bergman}, Commun. Algebra 49, No. 9, 3760--3776 (2021; Zbl 1515.20038) Full Text: DOI arXiv
Ben Amor, Faten; Yengui, Ihsen The trailing terms ideal. (English) Zbl 1476.13035 J. Algebra Appl. 20, No. 9, Article ID 2150153, 6 p. (2021). Reviewer: Gema Maria Diaz Toca (Murcia) MSC: 13P10 13D02 PDF BibTeX XML Cite \textit{F. Ben Amor} and \textit{I. Yengui}, J. Algebra Appl. 20, No. 9, Article ID 2150153, 6 p. (2021; Zbl 1476.13035) Full Text: DOI
Bonanzinga, Vittoria; Eliahou, Shalom Gotzmann monomials in four variables. (English) Zbl 1472.13031 Rev. Unión Mat. Argent. 62, No. 1, 67-93 (2021). Reviewer: Jorge Neves (Coimbra) MSC: 13D40 05E40 13F55 PDF BibTeX XML Cite \textit{V. Bonanzinga} and \textit{S. Eliahou}, Rev. Unión Mat. Argent. 62, No. 1, 67--93 (2021; Zbl 1472.13031) Full Text: DOI arXiv
Naghipour, Reza; Vosughian, Somayeh Some results of monomial ideals on regular sequences. (English) Zbl 1470.13005 Bull. Korean Math. Soc. 58, No. 3, 711-720 (2021). MSC: 13A15 13E05 13F55 PDF BibTeX XML Cite \textit{R. Naghipour} and \textit{S. Vosughian}, Bull. Korean Math. Soc. 58, No. 3, 711--720 (2021; Zbl 1470.13005) Full Text: DOI
Manouchehri, Erfan; Soleyman Jahan, Ali The linear Syzygy graph of a monomial ideal and linear resolutions. (English) Zbl 1513.13040 Czech. Math. J. 71, No. 3, 785-802 (2021). MSC: 13D02 13F55 13F20 PDF BibTeX XML Cite \textit{E. Manouchehri} and \textit{A. Soleyman Jahan}, Czech. Math. J. 71, No. 3, 785--802 (2021; Zbl 1513.13040) Full Text: DOI
Chu, Lizhong; Herzog, Jürgen; Lu, Dancheng The socle module of a monomial ideal. (English) Zbl 1472.13035 Rocky Mt. J. Math. 51, No. 3, 805-821 (2021). Reviewer: Hero Saremi (Sanandaj) MSC: 13F20 13F55 PDF BibTeX XML Cite \textit{L. Chu} et al., Rocky Mt. J. Math. 51, No. 3, 805--821 (2021; Zbl 1472.13035) Full Text: DOI arXiv
Gu, Yan; Hà, Huy Tài; Skelton, Joseph W. Symbolic powers of cover ideals of graphs and Koszul property. (English) Zbl 1476.13018 Int. J. Algebra Comput. 31, No. 5, 865-881 (2021). Reviewer: Fahimeh Khosh-Ahang Ghasr (Ilam) MSC: 13D02 13C13 05E40 05E45 13F55 PDF BibTeX XML Cite \textit{Y. Gu} et al., Int. J. Algebra Comput. 31, No. 5, 865--881 (2021; Zbl 1476.13018) Full Text: DOI arXiv
Yengui, Ihsen A counterexample to the Gröbner ring conjecture. (English) Zbl 1476.13036 J. Algebra 586, 526-536 (2021). Reviewer: John Perry (Hattiesburg) MSC: 13P10 13C10 68W30 PDF BibTeX XML Cite \textit{I. Yengui}, J. Algebra 586, 526--536 (2021; Zbl 1476.13036) Full Text: DOI
Rahimi, Ahad Maximal depth property of bigraded modules. (English) Zbl 1473.13007 Rend. Circ. Mat. Palermo (2) 70, No. 2, 947-958 (2021). Reviewer: Tri Nguyen (Biên Hòa) MSC: 13C14 13C15 16W50 13F20 13D45 PDF BibTeX XML Cite \textit{A. Rahimi}, Rend. Circ. Mat. Palermo (2) 70, No. 2, 947--958 (2021; Zbl 1473.13007) Full Text: DOI arXiv
Hibi, Takayuki; Kanno, Hiroju; Kimura, Kyouko; Matsuda, Kazunori; van Tuyl, Adam Homological invariants of Cameron-Walker graphs. (English) Zbl 1471.13020 Trans. Am. Math. Soc. 374, No. 9, 6559-6582 (2021). Reviewer: A. Nikseresht (Shiraz) MSC: 13A70 13C15 05E40 13F55 PDF BibTeX XML Cite \textit{T. Hibi} et al., Trans. Am. Math. Soc. 374, No. 9, 6559--6582 (2021; Zbl 1471.13020) Full Text: DOI arXiv
Xu, Li; Zhu, Guangjun; Wang, Hong; Zhang, Jiaqi Projective dimension and regularity of powers of edge ideals of vertex-weighted rooted forests. (English) Zbl 1507.13012 Bull. Malays. Math. Sci. Soc. (2) 44, No. 4, 2215-2233 (2021). MSC: 13D05 13F55 13D02 05E40 05C20 05C22 PDF BibTeX XML Cite \textit{L. Xu} et al., Bull. Malays. Math. Sci. Soc. (2) 44, No. 4, 2215--2233 (2021; Zbl 1507.13012) Full Text: DOI arXiv
Ashitha, T.; Asir, T.; Hoang, D. T.; Pournaki, M. R. Cohen-Macaulayness of a class of graphs versus the class of their complements. (English) Zbl 1467.13010 Discrete Math. 344, No. 10, Article ID 112525, 9 p. (2021). MSC: 13A70 05E40 13H10 13F55 PDF BibTeX XML Cite \textit{T. Ashitha} et al., Discrete Math. 344, No. 10, Article ID 112525, 9 p. (2021; Zbl 1467.13010) Full Text: DOI