Cutkosky, Steven Dale; Sarkar, Parangama Epsilon multiplicity and analytic spread of filtrations. (English) Zbl 07822921 Ill. J. Math. 68, No. 1, 189-210 (2024). MSC: 13H15 13A18 13A02 PDFBibTeX XMLCite \textit{S. D. Cutkosky} and \textit{P. Sarkar}, Ill. J. Math. 68, No. 1, 189--210 (2024; Zbl 07822921) Full Text: DOI arXiv Link
Chau, Trung; Kara, Selvi Barile-Macchia resolutions. (English) Zbl 07815460 J. Algebr. Comb. 59, No. 2, 413-472 (2024). MSC: 13Dxx 13Fxx 05Cxx PDFBibTeX XMLCite \textit{T. Chau} and \textit{S. Kara}, J. Algebr. Comb. 59, No. 2, 413--472 (2024; Zbl 07815460) Full Text: DOI arXiv OA License
Seyed Fakhari, S. A. Lower bounds for the depth of symbolic powers of edge ideals of graphs. (English) Zbl 07796388 J. Algebra 639, 422-439 (2024). MSC: 13C15 13F55 05E40 PDFBibTeX XMLCite \textit{S. A. Seyed Fakhari}, J. Algebra 639, 422--439 (2024; Zbl 07796388) Full Text: DOI
Seyed Fakhari, S. A. On the Castelnuovo-Mumford regularity of squarefree powers of edge ideals. (English) Zbl 07755432 J. Pure Appl. Algebra 228, No. 3, Article ID 107488, 12 p. (2024). MSC: 13D02 05E40 05C70 PDFBibTeX XMLCite \textit{S. A. Seyed Fakhari}, J. Pure Appl. Algebra 228, No. 3, Article ID 107488, 12 p. (2024; Zbl 07755432) Full Text: DOI arXiv
Shibu Deepthi, Nayana Non-normal edge rings satisfying \((S_2)\)-condition. (English) Zbl 07796963 Acta Math. Vietnam. 48, No. 4, 605-619 (2023). MSC: 13H10 PDFBibTeX XMLCite \textit{N. Shibu Deepthi}, Acta Math. Vietnam. 48, No. 4, 605--619 (2023; Zbl 07796963) Full Text: DOI arXiv
Fakhari, Seyed Amin Seyed; Yassemi, Siamak Improved bounds for the regularity of powers of edge ideals of graphs. (English) Zbl 1519.05115 J. Commut. Algebra 15, No. 1, 85-98 (2023). MSC: 05C25 13D02 13A70 PDFBibTeX XMLCite \textit{S. A. S. Fakhari} and \textit{S. Yassemi}, J. Commut. Algebra 15, No. 1, 85--98 (2023; Zbl 1519.05115) Full Text: DOI arXiv Link
Al-Kaseasbeh, Saba; Coykendall, Jim Adjacency-like conditions and induced ideal graphs. (English) Zbl 1518.13009 Commun. Algebra 51, No. 9, 3708-3728 (2023). Reviewer: A. Mimouni (Dhahran) MSC: 13C05 13A15 13C13 PDFBibTeX XMLCite \textit{S. Al-Kaseasbeh} and \textit{J. Coykendall}, Commun. Algebra 51, No. 9, 3708--3728 (2023; Zbl 1518.13009) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{G. Rinaldo} and \textit{N. Terai}, São Paulo J. Math. Sci. 17, No. 1, 345--386 (2023; Zbl 1520.13018) Full Text: DOI
Martínez-Bernal, José; Pizá-Morales, Oscar A.; Valencia-Bucio, Miguel A. Nonvanishing Betti numbers of edge ideals of weakly chordal graphs. (English) Zbl 1516.13013 J. Algebr. Comb. 58, No. 1, 279-290 (2023). Reviewer: Siamak Yassemi (Tehran) MSC: 13D02 13F55 05C25 05E40 05E45 PDFBibTeX XMLCite \textit{J. Martínez-Bernal} et al., J. Algebr. Comb. 58, No. 1, 279--290 (2023; Zbl 1516.13013) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. R. Pournaki} et al., J. Algebra 632, 751--782 (2023; Zbl 1522.13035) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Nikseresht}, J. Algebra Appl. 22, No. 7, Article ID 2350146, 10 p. (2023; Zbl 1517.13016) Full Text: DOI arXiv
Bhaskara, Kieran; van Tuyl, Adam Comparing invariants of toric ideals of bipartite graphs. (English) Zbl 1523.13019 Proc. Am. Math. Soc., Ser. B 10, 219-232 (2023). Reviewer: Justyna Szpond (Kraków) MSC: 13D02 13P10 13D40 14M25 05E40 PDFBibTeX XMLCite \textit{K. Bhaskara} and \textit{A. van Tuyl}, Proc. Am. Math. Soc., Ser. B 10, 219--232 (2023; Zbl 1523.13019) 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 PDFBibTeX XMLCite \textit{A. Nikseresht}, Bull. Iran. Math. Soc. 49, No. 2, Paper No. 21, 9 p. (2023; Zbl 1517.13015) Full Text: DOI
Higashitani, Akihiro; Kanno, Akane; Ueji, Ryota Behaviors of pairs of dimensions and depths of edge ideals. (English) Zbl 1524.13054 Commun. Algebra 51, No. 8, 3574-3584 (2023). Reviewer: Giuseppe Favacchio (Palermo) MSC: 13D02 13F55 05E40 05C70 PDFBibTeX XMLCite \textit{A. Higashitani} et al., Commun. Algebra 51, No. 8, 3574--3584 (2023; Zbl 1524.13054) Full Text: DOI arXiv
Crupi, Marilena; Ficarra, Antonino Very well-covered graphs by Betti splittings. (English) Zbl 1515.13012 J. Algebra 629, 76-108 (2023). Reviewer: Cristodor-Paul Ionescu (Bucureşti) MSC: 13F55 13H10 05E40 PDFBibTeX XMLCite \textit{M. Crupi} and \textit{A. Ficarra}, J. Algebra 629, 76--108 (2023; Zbl 1515.13012) Full Text: DOI arXiv
Hang, Nguyen Thu; Hien, Truong Thi Regularity of powers of cover ideals of bipartite graphs. (English) Zbl 1515.13007 Int. J. Algebra Comput. 33, No. 2, 317-335 (2023). MSC: 13A70 05C90 05E40 05E45 13C15 13D45 13A15 PDFBibTeX XMLCite \textit{N. T. Hang} and \textit{T. T. Hien}, Int. J. Algebra Comput. 33, No. 2, 317--335 (2023; Zbl 1515.13007) Full Text: DOI
Lewis, James Limit behavior of the rational powers of monomial ideals. (English) Zbl 1508.13007 J. Algebra Appl. 22, No. 3, Article ID 2350069, 17 p. (2023). MSC: 13A30 13F55 13B22 05E40 PDFBibTeX XMLCite \textit{J. Lewis}, J. Algebra Appl. 22, No. 3, Article ID 2350069, 17 p. (2023; Zbl 1508.13007) Full Text: DOI arXiv
Kumar, Arvind; Selvaraja, S. Upper bounds for the regularity of symbolic powers of certain classes of edge ideals. (English) Zbl 1511.13009 J. Algebra Appl. 22, No. 1, Article ID 2350016, 17 p. (2023). Reviewer: Aron Simis (Recife) MSC: 13A70 05C25 13D02 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{S. Selvaraja}, J. Algebra Appl. 22, No. 1, Article ID 2350016, 17 p. (2023; Zbl 1511.13009) Full Text: DOI arXiv
Hibi, Takayuki; Kimura, Kyouko; Matsuda, Kazunori; van Tuyl, Adam The regularity and \(h\)-polynomial of Cameron-Walker graphs. (English) Zbl 1514.13013 Enumer. Comb. Appl. 2, No. 3, Article ID S2R17, 12 p. (2022). Reviewer: Mehrdad Nasernejad (Lens) MSC: 13D02 13D40 05C70 05E40 PDFBibTeX XMLCite \textit{T. Hibi} et al., Enumer. Comb. Appl. 2, No. 3, Article ID S2R17, 12 p. (2022; Zbl 1514.13013) 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 PDFBibTeX XMLCite \textit{N. Erey} and \textit{T. Hibi}, Proc. Am. Math. Soc. 150, No. 12, 5073--5083 (2022; Zbl 1505.13029) Full Text: DOI arXiv
Lin, Kuei-Nuan; Mapes, Sonja Projective dimension of hypergraphs. (English) Zbl 1496.13020 Miller, Claudia (ed.) et al., Women in commutative algebra. Proceedings of the 2019 WICA workshop, Banff, Alberta, Canada, October 20–25, 2019. Cham: Springer. Assoc. Women Math. Ser. 29, 369-398 (2022). MSC: 13D02 05E40 PDFBibTeX XMLCite \textit{K.-N. Lin} and \textit{S. Mapes}, Assoc. Women Math. Ser. 29, 369--398 (2022; Zbl 1496.13020) Full Text: DOI arXiv
Faridi, Sara; Shahada, Mayada Well ordered covers, simplicial bouquets, and subadditivity of Betti numbers of square-free monomial ideals. (English) Zbl 1496.13019 Miller, Claudia (ed.) et al., Women in commutative algebra. Proceedings of the 2019 WICA workshop, Banff, Alberta, Canada, October 20–25, 2019. Cham: Springer. Assoc. Women Math. Ser. 29, 303-325 (2022). MSC: 13D02 13F55 PDFBibTeX XMLCite \textit{S. Faridi} and \textit{M. Shahada}, Assoc. Women Math. Ser. 29, 303--325 (2022; Zbl 1496.13019) Full Text: DOI arXiv
Ballard, Laura Properties of the toric rings of a chordal bipartite family of graphs. (English) Zbl 1502.13053 Miller, Claudia (ed.) et al., Women in commutative algebra. Proceedings of the 2019 WICA workshop, Banff, Alberta, Canada, October 20–25, 2019. Cham: Springer. Assoc. Women Math. Ser. 29, 11-47 (2022). MSC: 13F65 13H15 13D40 PDFBibTeX XMLCite \textit{L. Ballard}, Assoc. Women Math. Ser. 29, 11--47 (2022; Zbl 1502.13053) Full Text: DOI arXiv
Ahmad, Safyan; Abbas, Fazal; Kanwal, Shamsa Cohen-Macaulay growing graphs. (English) Zbl 1502.13028 Electron. J. Comb. 29, No. 3, Research Paper P3.65, 18 p. (2022). Reviewer: Jorge Neves (Coimbra) MSC: 13C14 13F55 05E40 PDFBibTeX XMLCite \textit{S. Ahmad} et al., Electron. J. Comb. 29, No. 3, Research Paper P3.65, 18 p. (2022; Zbl 1502.13028) Full Text: DOI
Okura, Kengo Shellability of polyhedral joins of simplicial complexes and its application to graph theory. (English) Zbl 1507.05113 Electron. J. Comb. 29, No. 3, Research Paper P3.53, 21 p. (2022). MSC: 05E45 05C76 13F55 14F45 PDFBibTeX XMLCite \textit{K. Okura}, Electron. J. Comb. 29, No. 3, Research Paper P3.53, 21 p. (2022; Zbl 1507.05113) Full Text: DOI arXiv
Lin, Kuei-Nuan; Mapes, Sonja Lattices and hypergraphs associated to square-free monomial ideals. (English) Zbl 1498.13059 Commun. Algebra 50, No. 11, 4710-4724 (2022). Reviewer: David Carey (Sheffield) MSC: 13F55 13D02 05E40 PDFBibTeX XMLCite \textit{K.-N. Lin} and \textit{S. Mapes}, Commun. Algebra 50, No. 11, 4710--4724 (2022; Zbl 1498.13059) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{K. Kimura} et al., Res. Math. Sci. 9, No. 2, Paper No. 29, 18 p. (2022; Zbl 07537320) Full Text: DOI
Bolognini, Davide; Macchia, Antonio; Strazzanti, Francesco; Welker, Volkmar Powers of monomial ideals with characteristic-dependent Betti numbers. (English) Zbl 1489.13031 Res. Math. Sci. 9, No. 2, Paper No. 26, 17 p. (2022). Reviewer: Jorge Neves (Coimbra) MSC: 13F55 13D02 PDFBibTeX XMLCite \textit{D. Bolognini} et al., Res. Math. Sci. 9, No. 2, Paper No. 26, 17 p. (2022; Zbl 1489.13031) Full Text: DOI arXiv
Ene, Viviana; Rinaldo, Giancarlo; Terai, Naoki Powers of binomial edge ideals with quadratic Gröbner bases. (English) Zbl 1494.13025 Nagoya Math. J. 246, 233-255 (2022). Reviewer: Fahimeh Khosh-Ahang Ghasr (Ilam) MSC: 13F65 13D02 05E40 14M05 PDFBibTeX XMLCite \textit{V. Ene} et al., Nagoya Math. J. 246, 233--255 (2022; Zbl 1494.13025) Full Text: DOI arXiv
Olteanu, Anda Edge ideals of squares of trees. (English) Zbl 1487.05280 Osaka J. Math. 59, No. 2, 369-386 (2022). MSC: 05E40 13A02 PDFBibTeX XMLCite \textit{A. Olteanu}, Osaka J. Math. 59, No. 2, 369--386 (2022; Zbl 1487.05280) Full Text: arXiv Link
Chanda, Subhajit; Sane, Sarang Reducers and \(K_0\) with support. (English) Zbl 1487.13037 Commun. Algebra 50, No. 2, 635-660 (2022). Reviewer: Hossein Faridian (Clemson) MSC: 13D15 13D09 18F30 19A99 PDFBibTeX XMLCite \textit{S. Chanda} and \textit{S. Sane}, Commun. Algebra 50, No. 2, 635--660 (2022; Zbl 1487.13037) Full Text: DOI
Verma, Rohit On some algebraic properties of edge ideals of ladder graphs. (English) Zbl 1486.13021 Commun. Algebra 50, No. 6, 2296-2311 (2022). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13D02 13F55 05C69 05C99 PDFBibTeX XMLCite \textit{R. Verma}, Commun. Algebra 50, No. 6, 2296--2311 (2022; Zbl 1486.13021) 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 PDFBibTeX XMLCite \textit{S. A. S. Fakhari}, Nagoya Math. J. 245, 28--40 (2022; Zbl 1486.13019) Full Text: DOI arXiv
Hà, Huy Tài; Van Tuyl, Adam Powers of componentwise linear ideals: the Herzog-Hibi-Ohsugi conjecture and related problems. (English) Zbl 1485.13039 Res. Math. Sci. 9, No. 2, Paper No. 22, 26 p. (2022). Reviewer: Jorge Neves (Coimbra) MSC: 13D02 05E40 13F20 PDFBibTeX XMLCite \textit{H. T. Hà} and \textit{A. Van Tuyl}, Res. Math. Sci. 9, No. 2, Paper No. 22, 26 p. (2022; Zbl 1485.13039) Full Text: DOI arXiv
Booms-Peot, Caitlyn; Erman, Daniel; Yang, Jay Characteristic dependence of syzygies of random monomial ideals. (English) Zbl 1487.13029 SIAM J. Discrete Math. 36, No. 1, 682-701 (2022). Reviewer: Tongsuo Wu (Shanghai) MSC: 13D02 13D30 05E45 14A10 PDFBibTeX XMLCite \textit{C. Booms-Peot} et al., SIAM J. Discrete Math. 36, No. 1, 682--701 (2022; Zbl 1487.13029) Full Text: DOI arXiv
Higashitani, Akihiro; Kanno, Hiroju; Matsuda, Kazunori Inequalities of invariants on Stanley-Reisner rings of Cohen-Macaulay simplicial complexes. (English) Zbl 1485.13052 J. Pure Appl. Algebra 226, No. 7, Article ID 106888, 10 p. (2022). Reviewer: Somayeh Bandari (Qazvin) MSC: 13F55 13D02 13D40 05C70 05E40 PDFBibTeX XMLCite \textit{A. Higashitani} et al., J. Pure Appl. Algebra 226, No. 7, Article ID 106888, 10 p. (2022; Zbl 1485.13052) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{A. Nikseresht}, Int. Electron. J. Algebra 31, 121--133 (2022; Zbl 1489.13009) Full Text: DOI
Saeedi Madani, Sara; Kiani, Dariush Induced matchings in strongly biconvex graphs and some algebraic applications. (English) Zbl 07746523 Math. Nachr. 294, No. 6, 1160-1174 (2021). MSC: 13D02 05E40 05C70 PDFBibTeX XMLCite \textit{S. Saeedi Madani} and \textit{D. Kiani}, Math. Nachr. 294, No. 6, 1160--1174 (2021; Zbl 07746523) Full Text: DOI arXiv
Walther, Uli; Zhang, Wenliang Local cohomology – an invitation. (English) Zbl 1498.13051 Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 773-858 (2021). MSC: 13D45 13-02 PDFBibTeX XMLCite \textit{U. Walther} and \textit{W. Zhang}, in: Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 773--858 (2021; Zbl 1498.13051) 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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{S. A. Seyed Fakhari} et al., Commun. Algebra 49, No. 10, 4249--4257 (2021; Zbl 1475.13040) Full Text: DOI arXiv
Dao, Hailong; Montaño, Jonathan Symbolic analytic spread: upper bounds and applications. (English) Zbl 1478.13007 J. Inst. Math. Jussieu 20, No. 6, 1969-1981 (2021). Reviewer: Alessandro De Stefani (Genova) MSC: 13A30 13A15 14M10 13C40 13C15 13H15 PDFBibTeX XMLCite \textit{H. Dao} and \textit{J. Montaño}, J. Inst. Math. Jussieu 20, No. 6, 1969--1981 (2021; Zbl 1478.13007) Full Text: DOI arXiv
Jayanthan, A. V.; Selvaraja, S. Linear polynomials for the regularity of powers of edge ideals of very well-covered graphs. (English) Zbl 1484.05210 J. Commut. Algebra 13, No. 1, 89-101 (2021). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 05E40 05C70 13D02 13F20 PDFBibTeX XMLCite \textit{A. V. Jayanthan} and \textit{S. Selvaraja}, J. Commut. Algebra 13, No. 1, 89--101 (2021; Zbl 1484.05210) Full Text: DOI arXiv
Bandari, Somayeh; Jafari, Raheleh Minimal depth of monomial ideals via associated radical ideals. (English) Zbl 1477.13029 Arch. Math. 117, No. 5, 495-507 (2021). Reviewer: Ali Akbar Yazdan Pour (Zanjan) MSC: 13C15 13C14 13F55 PDFBibTeX XMLCite \textit{S. Bandari} and \textit{R. Jafari}, Arch. Math. 117, No. 5, 495--507 (2021; Zbl 1477.13029) Full Text: DOI
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 PDFBibTeX XMLCite \textit{T. Hibi} et al., Trans. Am. Math. Soc. 374, No. 9, 6559--6582 (2021; Zbl 1471.13020) Full Text: DOI arXiv
Hirano, Ayana; Matsuda, Kazunori Matching numbers and dimension of edge ideals. (English) Zbl 1470.05128 Graphs Comb. 37, No. 3, 761-774 (2021). MSC: 05C69 05C70 05C35 05E40 13C15 05C25 PDFBibTeX XMLCite \textit{A. Hirano} and \textit{K. Matsuda}, Graphs Comb. 37, No. 3, 761--774 (2021; Zbl 1470.05128) Full Text: DOI arXiv
Dung, Le Xuan; Hien, Truong Thi; Nguyen, Hop D.; Trung, Tran Nam Regularity and Koszul property of symbolic powers of monomial ideals. (English) Zbl 1469.13028 Math. Z. 298, No. 3-4, 1487-1522 (2021). Reviewer: Jorge Neves (Coimbra) MSC: 13D02 13P20 13C70 05E40 PDFBibTeX XMLCite \textit{L. X. Dung} et al., Math. Z. 298, No. 3--4, 1487--1522 (2021; Zbl 1469.13028) Full Text: DOI arXiv
Kumar, Arvind; Kumar, Rajiv; Sarkar, Rajib Certain algebraic invariants of edge ideals of join of graphs. (English) Zbl 1465.13019 J. Algebra Appl. 20, No. 6, Article ID 2150099, 12 p. (2021). Reviewer: Jorge Neves (Coimbra) MSC: 13F55 13D02 05E40 PDFBibTeX XMLCite \textit{A. Kumar} et al., J. Algebra Appl. 20, No. 6, Article ID 2150099, 12 p. (2021; Zbl 1465.13019) Full Text: DOI arXiv
Hibi, Takayuki; Kimura, Kyouko; Matsuda, Kazunori; Tsuchiya, Akiyoshi Regularity and \(a\)-invariant of Cameron-Walker graphs. (English) Zbl 1475.13011 J. Algebra 584, 215-242 (2021). Reviewer: Fahimeh Khosh-Ahang Ghasr (Ilam) MSC: 13A70 05E40 13H10 13F55 PDFBibTeX XMLCite \textit{T. Hibi} et al., J. Algebra 584, 215--242 (2021; Zbl 1475.13011) Full Text: DOI arXiv
Erey, Nursel; Hibi, Takayuki Squarefree powers of edge ideals of forests. (English) Zbl 1465.13018 Electron. J. Comb. 28, No. 2, Research Paper P2.32, 16 p. (2021). Reviewer: Somayeh Bandari (Buein Zahra) MSC: 13F55 13D02 05E40 05C38 05C65 PDFBibTeX XMLCite \textit{N. Erey} and \textit{T. Hibi}, Electron. J. Comb. 28, No. 2, Research Paper P2.32, 16 p. (2021; Zbl 1465.13018) Full Text: DOI arXiv
Hà, Huy Tài; Hibi, Takayuki MAX MIN vertex cover and the size of Betti tables. (English) Zbl 1467.13031 Ann. Comb. 25, No. 1, 115-132 (2021). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13F55 13D02 05C70 05E40 PDFBibTeX XMLCite \textit{H. T. Hà} and \textit{T. Hibi}, Ann. Comb. 25, No. 1, 115--132 (2021; Zbl 1467.13031) Full Text: DOI arXiv
Favacchio, Giuseppe; Hofscheier, Johannes; Keiper, Graham; Van Tuyl, Adam Splittings of toric ideals. (English) Zbl 1460.13022 J. Algebra 574, 409-433 (2021). Reviewer: Antonino Ficarra (Messina) MSC: 13D02 13P10 14M25 05E40 PDFBibTeX XMLCite \textit{G. Favacchio} et al., J. Algebra 574, 409--433 (2021; Zbl 1460.13022) Full Text: DOI arXiv
Jayanthan, A. V.; Selvaraja, S. Upper bounds for the regularity of powers of edge ideals of graphs. (English) Zbl 1467.13020 J. Algebra 574, 184-205 (2021). Reviewer: Marcel Morales (Saint-Martin-d’Hères) MSC: 13D02 13F20 05C25 PDFBibTeX XMLCite \textit{A. V. Jayanthan} and \textit{S. Selvaraja}, J. Algebra 574, 184--205 (2021; Zbl 1467.13020) Full Text: DOI arXiv
Lajmiri, Bahareh; Rahmati, Farhad Properties of \(t\)-spread principal Borel ideals generated in degree two. (English) Zbl 1488.13046 Facta Univ., Ser. Math. Inf. 35, No. 1, 131-140 (2020). MSC: 13D02 13H10 05E40 13C14 PDFBibTeX XMLCite \textit{B. Lajmiri} and \textit{F. Rahmati}, Facta Univ., Ser. Math. Inf. 35, No. 1, 131--140 (2020; Zbl 1488.13046) Full Text: DOI
Selvaraja, S. Symbolic powers of vertex cover ideals. (English) Zbl 1445.13016 Int. J. Algebra Comput. 30, No. 6, 1167-1183 (2020). Reviewer: Jorge Neves (Coimbra) MSC: 13D02 13F20 PDFBibTeX XMLCite \textit{S. Selvaraja}, Int. J. Algebra Comput. 30, No. 6, 1167--1183 (2020; Zbl 1445.13016) Full Text: DOI arXiv
Seyed Fakhari, S. A. Regularity of symbolic powers of edge ideals of Cameron-Walker graphs. (English) Zbl 1448.13029 Commun. Algebra 48, No. 12, 5215-5223 (2020). Reviewer: Fahimeh Khosh-Ahang Ghasr (Ilam) MSC: 13D02 05E40 13F55 PDFBibTeX XMLCite \textit{S. A. Seyed Fakhari}, Commun. Algebra 48, No. 12, 5215--5223 (2020; Zbl 1448.13029) Full Text: DOI arXiv
Banerjee, Arindam; Beyarslan, Selvi Kara; Hà, Huy Tài Regularity of powers of edge ideals: from local properties to global bounds. (English) Zbl 1457.13029 Algebr. Comb. 3, No. 4, 839-854 (2020). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13D02 05C25 05E40 13A70 13A15 13F20 13F55 PDFBibTeX XMLCite \textit{A. Banerjee} et al., Algebr. Comb. 3, No. 4, 839--854 (2020; Zbl 1457.13029) Full Text: DOI arXiv
Favacchio, Giuseppe; Keiper, Graham; van Tuyl, Adam Regularity and \(h\)-polynomials of toric ideals of graphs. (English) Zbl 1442.13036 Proc. Am. Math. Soc. 148, No. 11, 4665-4677 (2020). Reviewer: Jorge Neves (Coimbra) MSC: 13D02 13P10 13D40 13F65 05E40 PDFBibTeX XMLCite \textit{G. Favacchio} et al., Proc. Am. Math. Soc. 148, No. 11, 4665--4677 (2020; Zbl 1442.13036) Full Text: DOI arXiv
Fouli, Louiza; Hà, Huy Tài; Morey, Susan Depth of powers of squarefree monomial ideals (research). (English) Zbl 1445.13021 Acu, Bahar (ed.) et al., Advances in mathematical sciences. AWM research symposium, Houston, TX, USA, April 6–7, 2019. Cham: Springer. Assoc. Women Math. Ser. 21, 161-171 (2020). MSC: 13F55 PDFBibTeX XMLCite \textit{L. Fouli} et al., Assoc. Women Math. Ser. 21, 161--171 (2020; Zbl 1445.13021) Full Text: DOI arXiv
Neves, J.; Vaz Pinto, M.; Villarreal, R. H. Joins, ears and Castelnuovo-Mumford regularity. (English) Zbl 1448.13038 J. Algebra 560, 67-88 (2020). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13F20 13P20 05E40 05C70 PDFBibTeX XMLCite \textit{J. Neves} et al., J. Algebra 560, 67--88 (2020; Zbl 1448.13038) Full Text: DOI arXiv
Ene, Viviana; Rinaldo, Giancarlo; Terai, Naoki Licci binomial edge ideals. (English) Zbl 1444.13028 J. Comb. Theory, Ser. A 175, Article ID 105278, 22 p. (2020). Reviewer: Jorge Neves (Coimbra) MSC: 13F65 05E40 13A70 PDFBibTeX XMLCite \textit{V. Ene} et al., J. Comb. Theory, Ser. A 175, Article ID 105278, 22 p. (2020; Zbl 1444.13028) Full Text: DOI arXiv
Fouli, Louiza; Hà, Huy Tài; Morey, Susan Initially regular sequences and depths of ideals. (English) Zbl 1442.13029 J. Algebra 559, 33-57 (2020). Reviewer: Jorge Neves (Coimbra) MSC: 13C15 13D05 05E40 13F20 13P10 PDFBibTeX XMLCite \textit{L. Fouli} et al., J. Algebra 559, 33--57 (2020; Zbl 1442.13029) Full Text: DOI arXiv
Moradi, Somayeh; Khosh-Ahang, Fahimeh Some interpretations for algebraic invariants of edge ideals of hypergraphs via combinatorial invariants. (English) Zbl 1452.13028 Commun. Algebra 48, No. 6, 2699-2712 (2020). Reviewer: Hero Saremi (Sanandaj) MSC: 13F55 13D02 05C90 05E99 PDFBibTeX XMLCite \textit{S. Moradi} and \textit{F. Khosh-Ahang}, Commun. Algebra 48, No. 6, 2699--2712 (2020; Zbl 1452.13028) Full Text: DOI arXiv
Barile, Margherita; Macchia, Antonio Minimal cellular resolutions of the edge ideals of forests. (English) Zbl 1472.13012 Electron. J. Comb. 27, No. 2, Research Paper P2.41, 16 p. (2020). Reviewer: Anda-Georgina Olteanu (Constanţa) MSC: 13A70 13F65 13A15 13C10 13D02 05C05 PDFBibTeX XMLCite \textit{M. Barile} and \textit{A. Macchia}, Electron. J. Comb. 27, No. 2, Research Paper P2.41, 16 p. (2020; Zbl 1472.13012) Full Text: DOI arXiv
Cid-Ruiz, Yairon; Jafari, Sepehr; Nemati, Navid; Picone, Beatrice Regularity of bicyclic graphs and their powers. (English) Zbl 1442.13033 J. Algebra Appl. 19, No. 3, Article ID 2050057, 38 p. (2020). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13D02 05C25 05C38 05E40 PDFBibTeX XMLCite \textit{Y. Cid-Ruiz} et al., J. Algebra Appl. 19, No. 3, Article ID 2050057, 38 p. (2020; Zbl 1442.13033) Full Text: DOI arXiv
Hang, Nguyen Thu Stability of depth functions of cover ideals of balanced hypergraphs. (English) Zbl 1440.13013 J. Algebra Appl. 19, No. 3, Article ID 2050055, 13 p. (2020). Reviewer: Siamak Yassemi (Tehran) MSC: 13A15 13C13 PDFBibTeX XMLCite \textit{N. T. Hang}, J. Algebra Appl. 19, No. 3, Article ID 2050055, 13 p. (2020; Zbl 1440.13013) Full Text: DOI arXiv
Fakhari, S. A. Seyed Stability of depth and Stanley depth of symbolic powers of squarefree monomial ideals. (English) Zbl 1443.13010 Proc. Am. Math. Soc. 148, No. 5, 1849-1862 (2020). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13C15 05E99 13C13 PDFBibTeX XMLCite \textit{S. A. S. Fakhari}, Proc. Am. Math. Soc. 148, No. 5, 1849--1862 (2020; Zbl 1443.13010) Full Text: DOI arXiv
Hà, Huy Tài; Nguyen, Hop Dang; Trung, Ngo Viet; Trung, Tran Nam Symbolic powers of sums of ideals. (English) Zbl 1437.13024 Math. Z. 294, No. 3-4, 1499-1520 (2020). Reviewer: Siamak Yassemi (Tehran) MSC: 13C15 14B05 13D07 18G15 PDFBibTeX XMLCite \textit{H. T. Hà} et al., Math. Z. 294, No. 3--4, 1499--1520 (2020; Zbl 1437.13024) Full Text: DOI arXiv
Trung, Tran Nam Regularity, matchings and Cameron-Walker graphs. (English) Zbl 1432.13017 Collect. Math. 71, No. 1, 83-91 (2020). Reviewer: Jorge Neves (Coimbra) MSC: 13F65 13D02 05E40 05E45 PDFBibTeX XMLCite \textit{T. N. Trung}, Collect. Math. 71, No. 1, 83--91 (2020; Zbl 1432.13017) Full Text: DOI arXiv
Saremi, Hero; Mafi, Amir Unmixedness and arithmetic properties of matroidal ideals. (English) Zbl 1436.13027 Arch. Math. 114, No. 3, 299-304 (2020). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13C40 13F20 13C13 PDFBibTeX XMLCite \textit{H. Saremi} and \textit{A. Mafi}, Arch. Math. 114, No. 3, 299--304 (2020; Zbl 1436.13027) Full Text: DOI arXiv
Erey, Nursel On the cover ideals of chordal graphs. (English) Zbl 1435.13010 Turk. J. Math. 43, No. 5, 2405-2414 (2019). Reviewer: S. K. Nimbhorkar (Aurangabad) MSC: 13D02 13F55 05C25 05E40 PDFBibTeX XMLCite \textit{N. Erey}, Turk. J. Math. 43, No. 5, 2405--2414 (2019; Zbl 1435.13010) Full Text: arXiv Link
Nandi, Rimpa; Nanduri, Ramakrishna Betti numbers of toric algebras of certain bipartite graphs. (English) Zbl 1441.13056 J. Algebra Appl. 18, No. 12, Article ID 1950231, 18 p. (2019). MSC: 13F65 13D02 13D40 13P10 05E40 14M25 05C38 PDFBibTeX XMLCite \textit{R. Nandi} and \textit{R. Nanduri}, J. Algebra Appl. 18, No. 12, Article ID 1950231, 18 p. (2019; Zbl 1441.13056) Full Text: DOI
Galetto, Federico; Hofscheier, Johannes; Keiper, Graham; Kohne, Craig; Van Tuyl, Adam; Paczka, Miguel Eduardo Uribe Betti numbers of toric ideals of graphs: a case study. (English) Zbl 1441.13055 J. Algebra Appl. 18, No. 12, Article ID 1950226, 14 p. (2019). MSC: 13F65 13D02 13P10 14M25 05E40 PDFBibTeX XMLCite \textit{F. Galetto} et al., J. Algebra Appl. 18, No. 12, Article ID 1950226, 14 p. (2019; Zbl 1441.13055) Full Text: DOI arXiv
Nguyen, Hop Dang; Trung, Ngo Viet Depth functions of symbolic powers of homogeneous ideals. (English) Zbl 1434.13014 Invent. Math. 218, No. 3, 779-827 (2019); correction ibid. 218, No. 3, 829-831 (2019). Reviewer: Peter Schenzel (Halle) MSC: 13C15 14B05 PDFBibTeX XMLCite \textit{H. D. Nguyen} and \textit{N. V. Trung}, Invent. Math. 218, No. 3, 779--827 (2019; Zbl 1434.13014) Full Text: DOI arXiv
Rinaldo, Giancarlo; Terai, Naoki 4-dimensional licci Gorenstein Stanley-Reisner ideals. (English) Zbl 1423.13116 Acta Math. Vietnam. 44, No. 3, 691-700 (2019). MSC: 13F55 13H10 13C40 PDFBibTeX XMLCite \textit{G. Rinaldo} and \textit{N. Terai}, Acta Math. Vietnam. 44, No. 3, 691--700 (2019; Zbl 1423.13116) Full Text: DOI
Enomoto, Chihiro; Yoshida, Ken-Ichi Cleanness of Cohen-Macaulay monomial ideal generated by at most five elements. (English) Zbl 1420.13051 Rend. Semin. Mat. Univ. Padova 141, 243-268 (2019). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13F55 13H10 PDFBibTeX XMLCite \textit{C. Enomoto} and \textit{K.-I. Yoshida}, Rend. Semin. Mat. Univ. Padova 141, 243--268 (2019; Zbl 1420.13051) Full Text: DOI
Hibi, Takayuki; Kimura, Kyouko; Matsuda, Kazunori Extremal Betti numbers of edge ideals. (English) Zbl 1416.05306 Arch. Math. 113, No. 2, 149-155 (2019). MSC: 05E40 13H10 PDFBibTeX XMLCite \textit{T. Hibi} et al., Arch. Math. 113, No. 2, 149--155 (2019; Zbl 1416.05306) Full Text: DOI arXiv
Martínez-Bernal, José; Morey, Susan; Villarreal, Rafael H.; Vivares, Carlos E. Depth and regularity of monomial ideals via polarization and combinatorial optimization. (English) Zbl 1427.13025 Acta Math. Vietnam. 44, No. 1, 243-268 (2019). Reviewer: Kuei-Nuan Lin (McKeesport) MSC: 13F20 05C22 05E40 13H10 PDFBibTeX XMLCite \textit{J. Martínez-Bernal} et al., Acta Math. Vietnam. 44, No. 1, 243--268 (2019; Zbl 1427.13025) Full Text: DOI arXiv
Hibi, Takayuki; Kanno, Hiroju; Matsuda, Kazunori Induced matching numbers of finite graphs and edge ideals. (English) Zbl 1441.13042 J. Algebra 532, 311-322 (2019). MSC: 13D40 05C69 05C70 05E40 13H10 13F55 PDFBibTeX XMLCite \textit{T. Hibi} et al., J. Algebra 532, 311--322 (2019; Zbl 1441.13042) Full Text: DOI arXiv
Burr, Michael A.; Lipman, Drew J. Quadratic-monomial generated domains from mixed signed, directed graphs. (English) Zbl 1414.05307 Int. J. Algebra Comput. 29, No. 2, 279-308 (2019). MSC: 05E15 05C20 05C22 05C25 13G05 13C14 PDFBibTeX XMLCite \textit{M. A. Burr} and \textit{D. J. Lipman}, Int. J. Algebra Comput. 29, No. 2, 279--308 (2019; Zbl 1414.05307) Full Text: DOI
Hà, Huy Tài; Beyarslan, Selvi Kara; O’Keefe, Augustine Algebraic properties of toric rings of graphs. (English) Zbl 1452.13013 Commun. Algebra 47, No. 1, 1-16 (2019). MSC: 13D02 13F55 14M25 PDFBibTeX XMLCite \textit{H. T. Hà} et al., Commun. Algebra 47, No. 1, 1--16 (2019; Zbl 1452.13013) Full Text: DOI arXiv
Fakhari, Seyed Amin Seyed An upper bound for the regularity of symbolic powers of edge ideals of chordal graphs. (English) Zbl 1411.13014 Electron. J. Comb. 26, No. 2, Research Paper P2.10, 9 p. (2019). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13D02 05E99 PDFBibTeX XMLCite \textit{S. A. S. Fakhari}, Electron. J. Comb. 26, No. 2, Research Paper P2.10, 9 p. (2019; Zbl 1411.13014) Full Text: Link
Biyikoğlu, Türker; Civan, Yusuf Prime graphs, matchings and the Castelnuovo-Mumford regularity. (English) Zbl 1407.05188 J. Commut. Algebra 11, No. 1, 1-27 (2019). MSC: 05C70 05C75 05C76 05E40 13F55 PDFBibTeX XMLCite \textit{T. Biyikoğlu} and \textit{Y. Civan}, J. Commut. Algebra 11, No. 1, 1--27 (2019; Zbl 1407.05188) Full Text: DOI Euclid
Cid-Ruiz, Yairon Regularity and Gröbner bases of the Rees algebra of edge ideals of bipartite graphs. (English) Zbl 1427.13017 Matematiche 73, No. 2, 279-296 (2018). Reviewer: Monica La Barbiera (Messina) MSC: 13D02 13A30 05E40 PDFBibTeX XMLCite \textit{Y. Cid-Ruiz}, Matematiche 73, No. 2, 279--296 (2018; Zbl 1427.13017) Full Text: DOI arXiv
Seyyedi, Seyyede Masoome; Rahmati, Farhad Regularity and projective dimension of the edge ideal of a generalized theta graph. (English) Zbl 1424.11098 Turk. J. Math. 42, No. 1, 320-338 (2018). MSC: 11G50 13D02 PDFBibTeX XMLCite \textit{S. M. Seyyedi} and \textit{F. Rahmati}, Turk. J. Math. 42, No. 1, 320--338 (2018; Zbl 1424.11098) Full Text: DOI
Kimura, Kyouko; Terai, Naoki; Yassemi, Siamak The projective dimension of the edge ideal of a very well-covered graph. (English) Zbl 1411.13018 Nagoya Math. J. 230, 160-179 (2018). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13D02 13F55 05C99 PDFBibTeX XMLCite \textit{K. Kimura} et al., Nagoya Math. J. 230, 160--179 (2018; Zbl 1411.13018) Full Text: DOI
Nikseresht, Ashkan Squarefree zero-divisor graphs of Stanley-Reisner rings. (English) Zbl 1403.13035 J. Korean Math. Soc. 55, No. 6, 1381-1388 (2018). Reviewer: Hero Saremi (Sanandaj) MSC: 13F55 05C25 PDFBibTeX XMLCite \textit{A. Nikseresht}, J. Korean Math. Soc. 55, No. 6, 1381--1388 (2018; Zbl 1403.13035) Full Text: Link
Baker, Jonathan; Vander Meulen, Kevin N.; Van Tuyl, Adam Shedding vertices of vertex decomposable well-covered graphs. (English) Zbl 1397.05138 Discrete Math. 341, No. 12, 3355-3369 (2018). MSC: 05C70 05C69 13C14 PDFBibTeX XMLCite \textit{J. Baker} et al., Discrete Math. 341, No. 12, 3355--3369 (2018; Zbl 1397.05138) Full Text: DOI arXiv
Hang, Nguyen Thu; Trung, Tran Nam Regularity of powers of cover ideals of unimodular hypergraphs. (English) Zbl 1403.13008 J. Algebra 513, 159-176 (2018). Reviewer: Toma Albu (Bucureşti) MSC: 13A15 13C13 PDFBibTeX XMLCite \textit{N. T. Hang} and \textit{T. N. Trung}, J. Algebra 513, 159--176 (2018; Zbl 1403.13008) Full Text: DOI arXiv
Seyed Fakhari, S. A.; Yassemi, S. Improved bounds for the regularity of edge ideals of graphs. (English) Zbl 1391.13024 Collect. Math. 69, No. 2, 249-262 (2018). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13D02 05E99 13F55 PDFBibTeX XMLCite \textit{S. A. Seyed Fakhari} and \textit{S. Yassemi}, Collect. Math. 69, No. 2, 249--262 (2018; Zbl 1391.13024) Full Text: DOI
Le Tuan Hoa; Tran Nam Trung Stability of depth and Cohen-Macaulayness of integral closures of powers of monomial ideals. (English) Zbl 1401.13050 Acta Math. Vietnam. 43, No. 1, 67-81 (2018). Reviewer: Hero Saremi (Sanandaj) MSC: 13D45 05C90 PDFBibTeX XMLCite \textit{Le Tuan Hoa} and \textit{Tran Nam Trung}, Acta Math. Vietnam. 43, No. 1, 67--81 (2018; Zbl 1401.13050) Full Text: DOI arXiv
Seyed Fakhari, S. A. Symbolic powers of cover ideal of very well-covered and bipartite graphs. (English) Zbl 1386.13039 Proc. Am. Math. Soc. 146, No. 1, 97-110 (2018). Reviewer: A. Nikseresht (Shiraz) MSC: 13D02 05E40 13C15 PDFBibTeX XMLCite \textit{S. A. Seyed Fakhari}, Proc. Am. Math. Soc. 146, No. 1, 97--110 (2018; Zbl 1386.13039) Full Text: DOI arXiv
Lin, K.-N.; Mantero, P. Hypergraphs with high projective dimension and 1-dimensional hypergraphs. (English) Zbl 1444.13021 Int. J. Algebra Comput. 27, No. 6, 591-617 (2017). Reviewer: Tai Ha (New Orleans) MSC: 13D02 05E40 PDFBibTeX XMLCite \textit{K. N. Lin} and \textit{P. Mantero}, Int. J. Algebra Comput. 27, No. 6, 591--617 (2017; Zbl 1444.13021) Full Text: DOI arXiv
Seyed Fakhari, S. A. Depth and Stanley depth of symbolic powers of cover ideals of graphs. (English) Zbl 1390.13036 J. Algebra 492, 402-413 (2017). Reviewer: Fahime Khoshahang (Ilam) MSC: 13C15 05E99 13C13 PDFBibTeX XMLCite \textit{S. A. Seyed Fakhari}, J. Algebra 492, 402--413 (2017; Zbl 1390.13036) Full Text: DOI arXiv
Kustin, Andrew R.; Polini, Claudia; Ulrich, Bernd The equations defining blowup algebras of height three Gorenstein ideals. (English) Zbl 1386.13014 Algebra Number Theory 11, No. 7, 1489-1525 (2017). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13A30 13D02 13D45 13H15 PDFBibTeX XMLCite \textit{A. R. Kustin} et al., Algebra Number Theory 11, No. 7, 1489--1525 (2017; Zbl 1386.13014) Full Text: DOI arXiv
Erey, Nursel Bouquets, vertex covers and edge ideals. (English) Zbl 1386.13075 J. Algebra Appl. 16, No. 5, Article ID 1750084, 7 p. (2017). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13P20 05C65 05E40 PDFBibTeX XMLCite \textit{N. Erey}, J. Algebra Appl. 16, No. 5, Article ID 1750084, 7 p. (2017; Zbl 1386.13075) Full Text: DOI arXiv
Lashani, Esfandiyar; Soleyman Jahan, Ali Regularity and projective dimension of some class of well-covered graphs. (English) Zbl 1424.13021 Turk. J. Math. 40, No. 5, 1102-1109 (2016). MSC: 13D02 05E40 05C70 PDFBibTeX XMLCite \textit{E. Lashani} and \textit{A. Soleyman Jahan}, Turk. J. Math. 40, No. 5, 1102--1109 (2016; Zbl 1424.13021) Full Text: DOI