Baklouti, Ali; Fujiwara, Hidenori Discrete-type restricted representations of exponential groups and differential operators. (English) Zbl 07978982 Int. J. Math. 36, No. 3, Article ID 2450076, 25 p. (2025). MSC: 20-XX 22-XX × Cite Format Result Cite Review PDF Full Text: DOI
Chakraborty, Shiny; Joseph, Ajay P.; Roy, Amit; Singh, Anurag Castelnuovo-Mumford regularity of the closed neighborhood ideal of a graph. (English) Zbl 07960243 J. Algebr. Comb. 61, No. 1, Paper No. 1, 18 p. (2025). MSC: 13F55 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fløystad, Gunnar Surprising occurrences of order structures in mathematics. (English) Zbl 07938688 J. Comput. Dyn. 12, No. 1, 92-114 (2025). MSC: 06-02 06A06 13F55 13F20 16G10 20G07 54A99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deshpande, Priyavrat; Roy, Amit; Singh, Anurag; Van Tuyl, Adam Fröberg’s theorem, vertex splittability and higher independence complexes. (English) Zbl 07975746 J. Commut. Algebra 16, No. 4, 391-410 (2024). MSC: 05E45 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kera, Hiroshi; Hasegawa, Yoshihiko Monomial-agnostic computation of vanishing ideals. (English) Zbl 07975283 J. Comput. Algebra 11, Article ID 100022, 15 p. (2024). MSC: 13P10 13P25 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abedelfatah, Abed On the subadditivity condition of edge ideal. (English) Zbl 07945856 J. Algebr. Comb. 60, No. 4, 1061-1069 (2024). MSC: 13Dxx 13Fxx 05Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rather, Bilal Ahmad; Imran, Muhammed; Pirzada, S. Linear strand of edge ideals of zero divisor graphs of the ring \(\mathbb{Z}_n\). (English) Zbl 1548.13036 Commun. Algebra 52, No. 12, 5069-5085 (2024). Reviewer: Fatemeh Mohammadi (Leuven) MSC: 13D02 13A70 13F55 05C25 05C90 05E45 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Li Bipartite determinantal ideals and concurrent vertex maps. (English) Zbl 07941564 J. Algebr. Comb. 60, No. 3, 735-780 (2024). MSC: 14M12 05E40 05E45 13C40 13F55 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Diem, Ly Thi Kieu; Minh, Nguyên Công; Vu, Thanh The sequentially Cohen-Macaulay property of edge ideals of edge-weighted graphs. (English) Zbl 1548.05341 J. Algebr. Comb. 60, No. 2, 589-597 (2024). MSC: 05E40 13F55 13D02 05C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kling, Filip Jonsson The strong Lefschetz property for quadratic reverse lexicographic ideals. (English) Zbl 1548.13048 Proc. Am. Math. Soc., Ser. B 11, 390-401 (2024). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13E10 13D40 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aprodu, Marian; Farkas, Gavril; Raicu, Claudiu; Sammartano, Alessio; Suciu, Alexander I. Higher resonance schemes and Koszul modules of simplicial complexes. (English) Zbl 1547.13029 J. Algebr. Comb. 59, No. 4, 787-805 (2024). Reviewer: Nathan Grieve (Wolfville) MSC: 13F55 14M12 16E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Valencia, Carlos E.; Molano, David C.; Moreno, Javier A. A minimal free resolution of the duplication of a monomial ideal. (English) Zbl 1549.13051 Comput. Appl. Math. 43, No. 5, Paper No. 298, 16 p. (2024). MSC: 13D02 05E40 13F55 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen Cong Minh; Tran Nam Trung; Thanh Vu Stable value of depth of symbolic powers of edge ideals of graphs. (English) Zbl 1546.13036 Pac. J. Math. 329, No. 1, 147-164 (2024). Reviewer: Ashkan Nikseresht (Shiraz) MSC: 13F55 05E40 13D02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Minh, Nguyen Cong; Vu, Thanh A characterization of graphs whose small powers of their edge ideals have a linear free resolution. (English) Zbl 07857934 Combinatorica 44, No. 2, 337-353 (2024). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05E40 13D02 13F55 × Cite Format Result Cite Review PDF Full Text: DOI
Dimitrova, Elena S.; Fredrickson, Cameron H.; Rondoni, Nicholas A.; Stigler, Brandilyn; Veliz-Cuba, Alan Algebraic experimental design: theory and computation. (English) Zbl 07849886 SIAM J. Appl. Algebra Geom. 8, No. 2, 284-301 (2024). MSC: 13P25 11T06 13P10 92C42 37N25 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laudone, Robert P. An antichain of monomial ideals in a twisted commutative algebra. (English) Zbl 07843746 Proc. Am. Math. Soc. 152, No. 6, 2297-2316 (2024). Reviewer: Houyi Yu (Chongqing) MSC: 13E05 13A50 05E40 × Cite Format Result Cite Review PDF Full Text: DOI
Nikseresht, Ashkan; Rahimi, Shahin Factorization properties of quotients of polynomial and power series rings by monomial ideals. (English) Zbl 1547.13026 Commun. Algebra 52, No. 7, 2760-2768 (2024). MSC: 13F15 13A05 13F55 × Cite Format Result Cite Review PDF Full Text: DOI
Seyed Fakhari, S. A. Lower bounds for the depth of the second power of edge ideals. (English) Zbl 1535.13017 Collect. Math. 75, No. 2, 535-544 (2024). Reviewer: Hossein Faridian (Clemson) MSC: 13C15 13F55 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Xiaoqi Depth and Stanley depth of two special classes of monomial ideals. (English) Zbl 1539.13033 Bull. Korean Math. Soc. 61, No. 1, 147-160 (2024). Reviewer: Yi-Huang Shen (Hefei) MSC: 13C15 13P10 13F20 13F55 × Cite Format Result Cite Review PDF Full Text: DOI
Amata, Luca Computational methods for \(t\)-spread monomial ideals. (English) Zbl 1535.05272 Int. Electron. J. Algebra 35, 186-216 (2024). MSC: 05E40 13-04 13B25 13D02 16W50 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
La Barbiera, Monica; Moghimipor, Roya Normality of Rees algebras of generalized mixed product ideals. (English) Zbl 1539.13025 Int. Electron. J. Algebra 35, 168-185 (2024). Reviewer: Luca Amata (Messina) MSC: 13B22 13A30 13F55 × Cite Format Result Cite Review PDF Full Text: DOI
Dao, Hailong; Nair, Ritika On the Lefschetz property for quotients by monomial ideals containing squares of variables. (English) Zbl 1539.13048 Commun. Algebra 52, No. 3, 1260-1270 (2024). Reviewer: Giuseppe Favacchio (Palermo) MSC: 13E10 13F55 13H10 05C25 05E40 05E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Faridi, Sara; Farrokhi D. G., Mohammad D. G.; Ghorbani, Roya; Yazdan Pour, Ali Akbar Cellular resolutions of monomial ideals and their Artinian reductions. (English) Zbl 1534.13005 J. Pure Appl. Algebra 228, No. 6, Article ID 107608, 28 p. (2024). MSC: 13C70 13D02 13F55 05E40 05E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Veliz-Cuba, Alan; Newsome-Slade, Vanessa; Dimitrova, Elena S. A unified approach to reverse engineering and data selection for unique network identification. (English) Zbl 1536.37086 SIAM J. Appl. Dyn. Syst. 23, No. 1, 592-615 (2024). MSC: 37N25 92C42 94C11 93B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Seyed Fakhari, S. A. Lower bounds for the depth of symbolic powers of edge ideals of graphs. (English) Zbl 1537.13025 J. Algebra 639, 422-439 (2024). Reviewer: T. Tamizh Chelvam (Tirunelveli) MSC: 13C15 13F55 05E40 × Cite Format Result Cite Review PDF Full Text: DOI
Matusevich, Laura Felicia; Yu, Byeongsu Graded local cohomology of modules over semigroup rings. (English) Zbl 1536.13019 J. Algebra 641, 147-172 (2024). Reviewer: Janet Vassilev (Albuquerque) MSC: 13D45 13F65 05E40 20M25 13C14 13F55 14M25 52B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guyot, Luc; Yengui, Ihsen The multivariate Serre conjecture ring. (English) Zbl 1540.13015 J. Algebra 640, 385-400 (2024). MSC: 13B30 13B25 13F05 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bandari, Somayeh Polymatroidal ideals and linear resolution. (English) Zbl 1527.13014 J. Algebr. Syst. 11, No. 2, 147-153 (2024). Reviewer: Mehrdad Nasernejad (Lens) MSC: 13C13 05E40 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Dancheng Linear resolutions and quasi-linearity of monomial ideals. (English) Zbl 1540.13032 Math. Scand. 129, No. 2, 189-208 (2023). Reviewer: Tongsuo Wu (Shanghai) MSC: 13C70 05E40 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zahid, Tooba; Sajid, Zunaira; Ishaq, Muhammad Depth and Stanley depth of powers of the edge ideals of some caterpillar and lobster trees. (English) Zbl 07831144 Math. Rep., Buchar. 25(75), No. 2, 199-220 (2023). MSC: 13C15 05E40 13F20 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ashitha, Tom; Asir, Thangaraj; Hoang, Do Trong; Pournaki, Mohammad Reza Some bounds for the regularity of the edge ideals and their powers in a certain class of graphs. (English) Zbl 07829401 Stud. Sci. Math. Hung. 60, No. 4, 237-248 (2023). MSC: 05C75 13F55 05E40 05E45 × Cite Format Result Cite Review PDF Full Text: DOI
Debus, Sebastian; Moustrou, Philippe; Riener, Cordian; Verdure, Hugues The poset of Specht ideals for hyperoctahedral groups. (English) Zbl 1537.13040 Algebr. Comb. 6, No. 6, 1593-1619 (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 13F55 05E10 20C15 20C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Comăneci, Andrei; Joswig, Michael Asymmetric tropical distances and power diagrams. (English) Zbl 1544.14061 Algebr. Comb. 6, No. 5, 1211-1233 (2023). Reviewer: Cristhian Garay (Guanajuato) MSC: 14T15 13D02 52B55 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abdolmaleki, Reza; Zaarenahandi, Rashid On the Betti numbers of monomial ideals and their powers. (English) Zbl 1538.13020 Khayyam J. Math. 9, No. 2, 256-262 (2023). MSC: 13F20 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alesandroni, G. The order of dominance of a monomial ideal. (English) Zbl 1540.13033 Algebra Discrete Math. 35, No. 1, 1-21 (2023). MSC: 13D02 13C15 13F55 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Kretschmer, Andreas When are symmetric ideals monomial? (English) Zbl 1533.13010 J. Commut. Algebra 15, No. 3, 367-376 (2023). Reviewer: Barna Schefler (Budapest) MSC: 13A50 13C70 20C30 20C32 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Jiang, Chengyao; Zhao, Yakun; Wang, Hong; Zhu, Guangjun The facet ideals of chessboard complexes. (English) Zbl 1528.13010 Rocky Mt. J. Math. 53, No. 4, 1155-1175 (2023). Reviewer: Monica La Barbiera (Messina) MSC: 13D02 13F55 13C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Gorla, Elisa; Ravagnani, Alberto Generalized weights of codes over rings and invariants of monomial ideals. (English) Zbl 1539.94038 Comb. Theory 3, No. 2, Paper No. 11, 30 p. (2023). Reviewer: Rodrigo San-José (Valladolid) MSC: 94B05 13D02 13F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Higashitani, Akihiro; Shibu Deepthi, Nayana The \(h\)-vectors of the edge rings of a special family of graphs. (English) Zbl 1540.13060 Commun. Algebra 51, No. 12, 5287-5296 (2023). MSC: 13P10 05E40 13A70 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sajjadian, Seyed Mehdi; Faramarzi, Saadatollah; Mafi, Amir Discussions in integral closure of polynomial ideals. (English) Zbl 1538.13024 J. Math. Ext. 17, No. 5, Paper No. 4, 17 p. (2023). MSC: 13F55 13B22 × Cite Format Result Cite Review PDF Full Text: DOI
Rinaldo, Giancarlo; Terai, Naoki Licci level Stanley-Reisner ideals with height three. (English) Zbl 1520.13018 São Paulo J. Math. Sci. 17, No. 1, 345-386 (2023). Reviewer: Cristodor-Paul Ionescu (Bucureşti) MSC: 13C70 13C40 13B25 13F55 × Cite Format Result Cite Review PDF Full Text: DOI
Fouli, Louiza; Hà, Tài Huy; Morey, Susan Regular sequences on squares of monomial ideals. (English) Zbl 1524.13048 São Paulo J. Math. Sci. 17, No. 1, 122-146 (2023). Reviewer: Marko Radovanović (Beograd) MSC: 13C15 13D05 05E40 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Costa, Bárbara; Dias, Thiago; Gondim, Rodrigo; Machado, Ricardo Counting square-free monomial Cremona maps. (English) Zbl 1532.13006 São Paulo J. Math. Sci. 17, No. 1, 76-101 (2023). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 13A50 14E05 14E07 14Q99 52B20 05B20 05C50 11C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banerjee, Arindam; Hà, Tài Huy Integral closures of powers of sums of ideals. (English) Zbl 1519.13005 J. Algebr. Comb. 58, No. 1, 307-323 (2023). Reviewer: Thanh Vu (Lincoln) MSC: 13D02 13C13 13B22 13D07 90C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alesandroni, Guillermo Monomial invariants applied to graph coloring. (English) Zbl 1529.05056 J. Algebr. Comb. 58, No. 1, 95-112 (2023). Reviewer: Gunjan Sharma (Chicago) MSC: 05C15 05C31 05C25 13A70 × Cite Format Result Cite Review PDF 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 1522.13035 J. Algebra 632, 751-782 (2023). Reviewer: Luca Amata (Messina) MSC: 13H10 13F55 05E40 05E45 × Cite Format Result Cite Review PDF Full Text: DOI
Quy, Pham Hung; Trung, Ngo Viet When does a perturbation of the equations preserve the normal cone? (English) Zbl 1521.13008 Trans. Am. Math. Soc. 376, No. 7, 4957-4978 (2023). Reviewer: Peter Schenzel (Halle) MSC: 13A30 13D10 13H15 13P10 14B12 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ashitha, T.; Asir, T.; Pournaki, M. R. Some Cohen-Macaulay graphs arising from finite commutative rings. (English) Zbl 1518.13020 J. Algebra Appl. 22, No. 6, Article ID 2350129, 11 p. (2023). Reviewer: Ashkan Nikseresht (Shiraz) MSC: 13F55 13H10 05E40 05E45 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jafari, Raheleh; Pour, Ali Akbar Yazdan Shedding vertices and ass-decomposable monomial ideals. (English) Zbl 1519.05266 Rocky Mt. J. Math. 53, No. 1, 89-101 (2023). Reviewer: Fahimeh Khosh-Ahang Ghasr (Ilam) MSC: 05E45 05C25 13F55 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fløystad, Gunnar; Orlich, Milo Triangulations of polygons and stacked simplicial complexes: separating their Stanley-Reisner ideals. (English) Zbl 1525.13031 J. Algebr. Comb. 57, No. 3, 659-686 (2023). MSC: 13F55 05C69 05C70 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 1521.13017 Commun. Algebra 51, No. 6, 2364-2383 (2023). MSC: 13C15 13A70 13F20 13P10 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caviglia, Giulio; Sammartano, Alessio Syzygies in Hilbert schemes of complete intersections. (English) Zbl 1523.13020 J. Algebra 619, 538-557 (2023). MSC: 13D02 13C40 13F55 14C05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koolani, Mozhgan; Mafi, Amir; Soufivand, Parasto An upper bound on stability of powers of matroidal ideals. arXiv:2308.14019 Preprint, arXiv:2308.14019 [math.AC] (2023). MSC: 13A15 13A30 13C15 13F55 × Cite Format Result Cite Full Text: arXiv
Rahmati-Asghar, Rahim; Bagheri, Amir Pretty \(k\)-clean monomial ideals and \(k\)-decomposable multicomplexes. (English) Zbl 07831119 Math. Rep., Buchar. 24(74), No. 4, 679-698 (2022). Reviewer: David Grabiner (Columbia) MSC: 13C13 13C14 05E99 16W70 × Cite Format Result Cite Review PDF
Murai, Satoshi; Raicu, Claudiu An equivariant Hochster’s formula for \(\mathfrak{S}_n\)-invariant monomial ideals. (English) Zbl 1523.13023 J. Lond. Math. Soc., II. Ser. 105, No. 3, 1974-2010 (2022). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13D02 13F55 20C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Ying; Du, Xiankun; Xu, Xiaowei Armendariz property of \(k[x,y]\) modulo monomial ideals. (English) Zbl 1524.16035 Commun. Math. Res. 38, No. 3, 422-430 (2022). MSC: 16S36 16D25 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: Link
Hofstadler, Clemens; Raab, Clemens G.; Regensburger, Georg Computing elements of certain form in ideals to prove properties of operators. (English) Zbl 1529.16043 Math. Comput. Sci. 16, No. 2-3, Paper No. 17, 19 p. (2022). Reviewer: Xiangui Zhao (Huizhou) MSC: 16Z10 03B35 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agler, Jim; McCarthy, John E. A generalization of Hardy’s operator and an asymptotic Müntz-Szász theorem. (English) Zbl 07629330 Expo. Math. 40, No. 4, 920-930 (2022). MSC: 47B91 46E30 30-XX × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 1535.13036 Res. Math. Sci. 9, No. 2, Paper No. 29, 18 p. (2022). MSC: 13F55 05C70 05C69 05E40 05C75 13D45 13H10 55U10 13-02 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv