Malayeri, Mohammad Rouzbahani; Madani, Sara Saeedi; Kiani, Dariush A proof for a conjecture on the regularity of binomial edge ideals. (English) Zbl 07314005 J. Comb. Theory, Ser. A 180, Article ID 105432, 10 p. (2021). MSC: 13D 05C PDF BibTeX XML Cite \textit{M. R. Malayeri} et al., J. Comb. Theory, Ser. A 180, Article ID 105432, 10 p. (2021; Zbl 07314005) Full Text: DOI
Kweon, Hyuk Jun Bounds on the torsion subgroups of Néron-Severi groups. (English) Zbl 07288858 Trans. Am. Math. Soc. 374, No. 1, 351-365 (2021). Reviewer: Piotr Pokora (Kraków) MSC: 14C05 14C20 14C22 PDF BibTeX XML Cite \textit{H. J. Kweon}, Trans. Am. Math. Soc. 374, No. 1, 351--365 (2021; Zbl 07288858) Full Text: DOI
Gan, Wee Liang; Li, Liping An inductive method for OI-modules. (English) Zbl 07285349 J. Algebra 568, 547-575 (2021). MSC: 13 PDF BibTeX XML Cite \textit{W. L. Gan} and \textit{L. Li}, J. Algebra 568, 547--575 (2021; Zbl 07285349) Full Text: DOI
Aramideh, Nasibeh; Hashemi, Amir; Seiler, Werner M. Computing the resolution regularity of bi-homogeneous ideals. (English) Zbl 07274359 J. Symb. Comput. 103, 141-156 (2021). MSC: 13D02 13P10 68W30 PDF BibTeX XML Cite \textit{N. Aramideh} et al., J. Symb. Comput. 103, 141--156 (2021; Zbl 07274359) Full Text: DOI
Cioffi, Francesca The range of all regularities for polynomial ideals with a given Hilbert function. (English) Zbl 07268500 J. Algebra 566, 435-442 (2021). Reviewer: Gema Maria Diaz Toca (Murcia) MSC: 13P10 14Q99 68W30 11Y55 13C99 PDF BibTeX XML Cite \textit{F. Cioffi}, J. Algebra 566, 435--442 (2021; Zbl 07268500) Full Text: DOI
Kumar, Arvind Binomial edge ideals of generalized block graphs. (English) Zbl 1451.13045 Int. J. Algebra Comput. 30, No. 8, 1537-1554 (2020). Reviewer: Jorge Neves (Coimbra) MSC: 13D02 13C13 05E40 13F55 PDF BibTeX XML Cite \textit{A. Kumar}, Int. J. Algebra Comput. 30, No. 8, 1537--1554 (2020; Zbl 1451.13045) Full Text: DOI
Liu, Aming; Wu, Tongsuo Edge ideals with regularity no more than three. (English) Zbl 07272178 Algebra Colloq. 27, No. 4, 761-766 (2020). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13D02 13F55 05C10 PDF BibTeX XML Cite \textit{A. Liu} and \textit{T. Wu}, Algebra Colloq. 27, No. 4, 761--766 (2020; Zbl 07272178) Full Text: DOI
D’Cruz, Clare; Mandal, Mousumi Symbolic blowup algebras and invariants associated to certain monomial curves in \(\mathbb{P}^3\). (English) Zbl 07271654 Commun. Algebra 48, No. 9, 3724-3742 (2020). MSC: 13A30 13H15 13P10 PDF BibTeX XML Cite \textit{C. D'Cruz} and \textit{M. Mandal}, Commun. Algebra 48, No. 9, 3724--3742 (2020; Zbl 07271654) Full Text: DOI
Herzog, Jürgen; Hibi, Takayuki Matching numbers and the regularity of the Rees algebra of an edge ideal. (English) Zbl 1446.13018 Ann. Comb. 24, No. 3, 577-586 (2020). Reviewer: Jorge Neves (Coimbra) MSC: 13H10 13D02 05E40 PDF BibTeX XML Cite \textit{J. Herzog} and \textit{T. Hibi}, Ann. Comb. 24, No. 3, 577--586 (2020; Zbl 1446.13018) Full Text: DOI
Kumar, Arvind; Sarkar, Rajib Depth and extremal Betti number of binomial edge ideals. (English) Zbl 07261815 Math. Nachr. 293, No. 9, 1746-1761 (2020). MSC: 05 11 PDF BibTeX XML Cite \textit{A. Kumar} and \textit{R. Sarkar}, Math. Nachr. 293, No. 9, 1746--1761 (2020; Zbl 07261815) Full Text: DOI
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 PDF BibTeX XML Cite \textit{S. A. Seyed Fakhari}, Commun. Algebra 48, No. 12, 5215--5223 (2020; Zbl 1448.13029) Full Text: DOI
Jayanthan, A. V.; Kumar, Arvind; Sarkar, Rajib Regularity of powers of quadratic sequences with applications to binomial ideals. (English) Zbl 1444.13020 J. Algebra 564, 98-118 (2020). Reviewer: Jorge Neves (Coimbra) MSC: 13D02 13C13 05E40 PDF BibTeX XML Cite \textit{A. V. Jayanthan} et al., J. Algebra 564, 98--118 (2020; Zbl 1444.13020) Full Text: DOI
Banerjee, Arindam; Beyarslan, Selvi Kara; Hà, Huy Tài Regularity of powers of edge ideals: from local properties to global bounds. (English) Zbl 07251036 Algebr. Comb. 3, No. 4, 839-854 (2020). MSC: 13D02 05C25 05E40 13A70 13A15 13F20 13F55 PDF BibTeX XML Cite \textit{A. Banerjee} et al., Algebr. Comb. 3, No. 4, 839--854 (2020; Zbl 07251036) Full Text: DOI
Macchia, Antonio; Neves, Jorge; Vaz Pinto, Maria; Villarreal, Rafael H. Regularity of the vanishing ideal over a parallel composition of paths. (English) Zbl 07246826 J. Commut. Algebra 12, No. 3, 391-407 (2020). MSC: 13F20 14G15 11T55 PDF BibTeX XML Cite \textit{A. Macchia} et al., J. Commut. Algebra 12, No. 3, 391--407 (2020; Zbl 07246826) Full Text: DOI Euclid
Blekherman, Grigoriy; Jung, Jaewoo Bounds on regularity of quadratic monomial ideals. (English) Zbl 1448.13041 J. Comb. Theory, Ser. A 176, Article ID 105296, 17 p. (2020). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13F55 13D02 05C70 PDF BibTeX XML Cite \textit{G. Blekherman} and \textit{J. Jung}, J. Comb. Theory, Ser. A 176, Article ID 105296, 17 p. (2020; Zbl 1448.13041) Full Text: DOI
Küronya, Alex; Mustopa, Yusuf Continuous CM-regularity of semihomogeneous vector bundles. (English) Zbl 1451.14128 Adv. Geom. 20, No. 3, 401-412 (2020). Reviewer: Nathan Grieve (Ottawa) MSC: 14J60 14F06 PDF BibTeX XML Cite \textit{A. Küronya} and \textit{Y. Mustopa}, Adv. Geom. 20, No. 3, 401--412 (2020; Zbl 1451.14128) Full Text: DOI
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 PDF BibTeX XML Cite \textit{J. Neves} et al., J. Algebra 560, 67--88 (2020; Zbl 1448.13038) Full Text: DOI
Sharifan, Leila; Moradi, Somayeh Closed neighborhood ideal of a graph. (English) Zbl 1445.13022 Rocky Mt. J. Math. 50, No. 3, 1097-1107 (2020). Reviewer: Jorge Neves (Coimbra) MSC: 13F55 05E40 05C69 PDF BibTeX XML Cite \textit{L. Sharifan} and \textit{S. Moradi}, Rocky Mt. J. Math. 50, No. 3, 1097--1107 (2020; Zbl 1445.13022) Full Text: DOI Euclid
Mascia, Carla; Rinaldo, Giancarlo Krull dimension and regularity of binomial edge ideals of block graphs. (English) Zbl 1444.13029 J. Algebra Appl. 19, No. 7, Article ID 2050133, 17 p. (2020). Reviewer: A. Nikseresht (Shiraz) MSC: 13F65 05C25 13P99 13D02 PDF BibTeX XML Cite \textit{C. Mascia} and \textit{G. Rinaldo}, J. Algebra Appl. 19, No. 7, Article ID 2050133, 17 p. (2020; Zbl 1444.13029) Full Text: DOI
Neves, J. Regularity of the vanishing ideal over a bipartite nested ear decomposition. (English) Zbl 1445.13019 J. Algebra Appl. 19, No. 7, Article ID 2050126, 28 p. (2020). Reviewer: Fahimeh Khosh-Ahang Ghasr (Ilam) MSC: 13F20 14G15 11T55 05E40 05C70 PDF BibTeX XML Cite \textit{J. Neves}, J. Algebra Appl. 19, No. 7, Article ID 2050126, 28 p. (2020; Zbl 1445.13019) Full Text: DOI
Lanza, Valeriano; Martino, Ivan On the codimension of Noether-Lefschetz loci for toric threefolds. (English) Zbl 1440.14031 Commun. Contemp. Math. 22, No. 5, Article ID 1950037, 5 p. (2020). MSC: 14C22 14J70 14M25 PDF BibTeX XML Cite \textit{V. Lanza} and \textit{I. Martino}, Commun. Contemp. Math. 22, No. 5, Article ID 1950037, 5 p. (2020; Zbl 1440.14031) Full Text: DOI
Lee, Wanseok; Park, Euisung On \(3\)-linear varieties of codimension \(2\). (English) Zbl 1440.14248 J. Algebra Appl. 19, No. 6, Article ID 2050106, 12 p. (2020). MSC: 14N25 13D02 PDF BibTeX XML Cite \textit{W. Lee} and \textit{E. Park}, J. Algebra Appl. 19, No. 6, Article ID 2050106, 12 p. (2020; Zbl 1440.14248) Full Text: DOI
Romeo, Francesco Chordal circulant graphs and induced matching number. (English) Zbl 1441.05187 Discrete Math. 343, No. 8, Article ID 111947, 5 p. (2020). MSC: 05C70 PDF BibTeX XML Cite \textit{F. Romeo}, Discrete Math. 343, No. 8, Article ID 111947, 5 p. (2020; Zbl 1441.05187) Full Text: DOI
Mandal, Mousumi; Nanduri, Ramakrishna Regularity comparison of fiber cone and associated graded ring. (English) Zbl 07202194 Beitr. Algebra Geom. 61, No. 2, 219-229 (2020). MSC: 13A30 13C14 13H10 14M05 PDF BibTeX XML Cite \textit{M. Mandal} and \textit{R. Nanduri}, Beitr. Algebra Geom. 61, No. 2, 219--229 (2020; Zbl 07202194) Full Text: DOI
Công Minh, Nguyên; Thi Thuy, Phan A computation of the Castelnuovo-Mumford regularity of certain two-dimensional unmixed ideals. (English) Zbl 07192165 Commun. Algebra 48, No. 5, 2028-2040 (2020). Reviewer: Kamran Divaani-Aazar (Tehran) MSC: 13D45 13P99 PDF BibTeX XML Cite \textit{N. Công Minh} and \textit{P. Thi Thuy}, Commun. Algebra 48, No. 5, 2028--2040 (2020; Zbl 07192165) Full Text: DOI
Palezzato, Elisa; Torielli, Michele Lefschetz properties and hyperplane arrangements. (English) Zbl 1445.14073 J. Algebra 555, 289-304 (2020). Reviewer: Juan C. Migliore (Notre Dame) MSC: 14N20 52C35 13F20 13F55 PDF BibTeX XML Cite \textit{E. Palezzato} and \textit{M. Torielli}, J. Algebra 555, 289--304 (2020; Zbl 1445.14073) Full Text: DOI
Gan, Wee Liang; Li, Liping Castelnuovo-Mumford regularity of representations of certain product categories. (English) Zbl 07191133 J. Algebra 555, 246-264 (2020). MSC: 18E99 13C60 PDF BibTeX XML Cite \textit{W. L. Gan} and \textit{L. Li}, J. Algebra 555, 246--264 (2020; Zbl 07191133) Full Text: DOI
Malaspina, F. Ulrich bundles on the degree six Segre fourfold. (English) Zbl 1442.14136 J. Algebra 553, 154-174 (2020). Reviewer: Joan Pons-Llopis (Maó) MSC: 14J60 13C14 14F06 PDF BibTeX XML Cite \textit{F. Malaspina}, J. Algebra 553, 154--174 (2020; Zbl 1442.14136) Full Text: DOI
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 PDF BibTeX XML Cite \textit{H. T. Hà} et al., Math. Z. 294, No. 3--4, 1499--1520 (2020; Zbl 1437.13024) Full Text: DOI
Cường, Đoàn Trung; Kwak, Sijong The reduction number and degree bound of projective subschemes. (English) Zbl 1439.14150 Trans. Am. Math. Soc. 373, No. 2, 1153-1180 (2020). Reviewer: Juan C. Migliore (Notre Dame) MSC: 14N05 13D02 PDF BibTeX XML Cite \textit{Đ. T. Cường} and \textit{S. Kwak}, Trans. Am. Math. Soc. 373, No. 2, 1153--1180 (2020; Zbl 1439.14150) Full Text: DOI
Kwak, Sijong; Park, Jinhyung A bound for Castelnuovo-Mumford regularity by double point divisors. (English) Zbl 1444.14090 Adv. Math. 364, Article ID 107008, 33 p. (2020). Reviewer: Roberto Munoz (Madrid) MSC: 14N05 13D02 14N25 51N35 PDF BibTeX XML Cite \textit{S. Kwak} and \textit{J. Park}, Adv. Math. 364, Article ID 107008, 33 p. (2020; Zbl 1444.14090) Full Text: DOI
Jayanthan, A. V.; Kumar, Rajiv Regularity of symbolic powers of edge ideals. (English) Zbl 1436.13041 J. Pure Appl. Algebra 224, No. 7, Article ID 106306, 12 p. (2020). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13F55 13D02 05E40 PDF BibTeX XML Cite \textit{A. V. Jayanthan} and \textit{R. Kumar}, J. Pure Appl. Algebra 224, No. 7, Article ID 106306, 12 p. (2020; Zbl 1436.13041) Full Text: DOI
Albert, Mario; Bertone, Cristina; Roggero, Margherita; Seiler, Werner M. Computing quot schemes via marked bases over quasi-stable modules. (English) Zbl 1431.13030 J. Algebra 550, 432-470 (2020). Reviewer: Edoardo Ballico (Povo) MSC: 13P10 13D02 14A15 14C05 PDF BibTeX XML Cite \textit{M. Albert} et al., J. Algebra 550, 432--470 (2020; Zbl 1431.13030) Full Text: DOI
Kumar, Arvind Regularity bound of generalized binomial edge ideal of graphs. (English) Zbl 1433.13013 J. Algebra 546, 357-369 (2020). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13D02 13C13 05E40 PDF BibTeX XML Cite \textit{A. Kumar}, J. Algebra 546, 357--369 (2020; Zbl 1433.13013) Full Text: DOI
Lee, Cheolgyu Worst unstable points of a Hilbert scheme. (English) Zbl 07128755 J. Algebra 544, 92-124 (2020). MSC: 14 PDF BibTeX XML Cite \textit{C. Lee}, J. Algebra 544, 92--124 (2020; Zbl 07128755) Full Text: DOI arXiv
Fakhari, S. A. Seyed Regularity of symbolic powers of edge ideals of unicyclic graphs. (English) Zbl 1441.13029 J. Algebra 541, 345-358 (2020). Reviewer: Siamak Yassemi (Tehran) MSC: 13D02 13F55 PDF BibTeX XML Cite \textit{S. A. S. Fakhari}, J. Algebra 541, 345--358 (2020; Zbl 1441.13029) Full Text: DOI arXiv
Trung, Dinh Thanh On the computation of Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring. (English) Zbl 1426.13003 J. Pure Appl. Algebra 224, No. 1, 402-410 (2020). Reviewer: Pedro A. García Sánchez (Granada) MSC: 13A30 20M14 13D45 13D02 13D40 PDF BibTeX XML Cite \textit{D. T. Trung}, J. Pure Appl. Algebra 224, No. 1, 402--410 (2020; Zbl 1426.13003) Full Text: DOI arXiv
Tsakiris, Manolis C. Linearization of resolutions via products. (English) Zbl 1444.13022 J. Pure Appl. Algebra 224, No. 1, 42-52 (2020). Reviewer: Indranath Sengupta (Gandhinagar) MSC: 13D02 PDF BibTeX XML Cite \textit{M. C. Tsakiris}, J. Pure Appl. Algebra 224, No. 1, 42--52 (2020; Zbl 1444.13022) Full Text: DOI
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 PDF BibTeX XML Cite \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
Lee, Wanseok; Jang, Wooyoung On the equations defining some curves of maximal regularity in \(\mathbb{P}^4\). (English) Zbl 1428.14051 East Asian Math. J. 35, No. 1, 51-58 (2019). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 14H45 14H50 14N05 PDF BibTeX XML Cite \textit{W. Lee} and \textit{W. Jang}, East Asian Math. J. 35, No. 1, 51--58 (2019; Zbl 1428.14051) Full Text: DOI
Linh, Cao Huy Castelnuovo-Mumford regularity and Hilbert coefficients of parameter ideals. (English) Zbl 1434.13019 Taiwanese J. Math. 23, No. 5, 1115-1131 (2019). Reviewer: Kamran Divaani-Aazar (Tehran) MSC: 13D45 13D07 PDF BibTeX XML Cite \textit{C. H. Linh}, Taiwanese J. Math. 23, No. 5, 1115--1131 (2019; Zbl 1434.13019) Full Text: DOI Euclid
Anwar, Imran; Khalid, Asma Algebraic characterization of graphical degree stability. (English) Zbl 1423.13144 Commun. Korean Math. Soc. 34, No. 1, 113-125 (2019). MSC: 13P10 13H10 13F20 13C14 PDF BibTeX XML Cite \textit{I. Anwar} and \textit{A. Khalid}, Commun. Korean Math. Soc. 34, No. 1, 113--125 (2019; Zbl 1423.13144) Full Text: DOI
Dung, Le Xuan; Hoa, Le Tuan A note on Castelnuovo-Mumford regularity and Hilbert coefficients. (English) Zbl 1423.13094 J. Algebra Appl. 18, No. 10, Article ID 1950191, 8 p. (2019). MSC: 13D45 13A30 PDF BibTeX XML Cite \textit{L. X. Dung} and \textit{L. T. Hoa}, J. Algebra Appl. 18, No. 10, Article ID 1950191, 8 p. (2019; Zbl 1423.13094) Full Text: DOI arXiv
Nguyen, Hop D.; Vu, Thanh Homological invariants of powers of fiber products. (English) Zbl 07115062 Acta Math. Vietnam. 44, No. 3, 617-638 (2019). MSC: 13D02 13C05 13D05 13H99 PDF BibTeX XML Cite \textit{H. D. Nguyen} and \textit{T. Vu}, Acta Math. Vietnam. 44, No. 3, 617--638 (2019; Zbl 07115062) Full Text: DOI arXiv
Linh, Cao Huy; Trung, Van Duc Hilbert coefficients and the depth of associated graded rings with respect to parameter ideals. (English) Zbl 1430.13025 Vietnam J. Math. 47, No. 2, 431-442 (2019). Reviewer: Mohsen Asgharzadeh (Tehran) MSC: 13D45 13D07 14B15 PDF BibTeX XML Cite \textit{C. H. Linh} and \textit{V. D. Trung}, Vietnam J. Math. 47, No. 2, 431--442 (2019; Zbl 1430.13025) Full Text: DOI
Ghosh, Dipankar; Puthenpurakal, Tony J. An asymptotic bound for Castelnuovo-Mumford regularity of certain Ext modules over graded complete intersection rings. (English) Zbl 07103952 J. Algebra 537, 278-296 (2019). MSC: 13D07 13D02 13A30 PDF BibTeX XML Cite \textit{D. Ghosh} and \textit{T. J. Puthenpurakal}, J. Algebra 537, 278--296 (2019; Zbl 07103952) Full Text: DOI
Jayanthan, A. V.; Narayanan, N.; Raghavendra Rao, B. V. An upper bound for the regularity of binomial edge ideals of trees. (English) Zbl 07098694 J. Algebra Appl. 18, No. 9, Article ID 1950170, 7 p. (2019). MSC: 13D02 05E40 PDF BibTeX XML Cite \textit{A. V. Jayanthan} et al., J. Algebra Appl. 18, No. 9, Article ID 1950170, 7 p. (2019; Zbl 07098694) Full Text: DOI arXiv
Jayanthan, A. V.; Kumar, Arvind Regularity of binomial edge ideals of Cohen-Macaulay bipartite graphs. (English) Zbl 1428.13033 Commun. Algebra 47, No. 11, 4797-4805 (2019). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13F65 13D02 05E40 PDF BibTeX XML Cite \textit{A. V. Jayanthan} and \textit{A. Kumar}, Commun. Algebra 47, No. 11, 4797--4805 (2019; Zbl 1428.13033) Full Text: DOI arXiv
Borna, Keivan; Mohajer, Abolfazl On the regularity and defect sequence of monomial and binomial ideals. (English) Zbl 07088810 Czech. Math. J. 69, No. 3, 653-664 (2019). MSC: 13D02 13P10 PDF BibTeX XML Cite \textit{K. Borna} and \textit{A. Mohajer}, Czech. Math. J. 69, No. 3, 653--664 (2019; Zbl 07088810) Full Text: DOI
Abdi Makvand, Mohsen; Mousivand, Amir Betti numbers of some circulant graphs. (English) Zbl 07088806 Czech. Math. J. 69, No. 3, 593-607 (2019). MSC: 13D02 05C75 PDF BibTeX XML Cite \textit{M. Abdi Makvand} and \textit{A. Mousivand}, Czech. Math. J. 69, No. 3, 593--607 (2019; Zbl 07088806) 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 PDF BibTeX XML Cite \textit{T. Hibi} et al., Arch. Math. 113, No. 2, 149--155 (2019; Zbl 1416.05306) Full Text: DOI arXiv
Hibi, Takayuki; Matsuda, Kazunori Lexsegment ideals and their \(h\)-polynomials. (English) Zbl 1427.13030 Acta Math. Vietnam. 44, No. 1, 83-86 (2019). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13H10 05E40 PDF BibTeX XML Cite \textit{T. Hibi} and \textit{K. Matsuda}, Acta Math. Vietnam. 44, No. 1, 83--86 (2019; Zbl 1427.13030) Full Text: DOI arXiv
Ionescu, Paltin A remark on boundedness of manifolds embedded with small codimension. (English) Zbl 1428.14080 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 65, No. 1, 121-125 (2019). Reviewer: Antonio Lanteri (Milano) MSC: 14M07 14N05 PDF BibTeX XML Cite \textit{P. Ionescu}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 65, No. 1, 121--125 (2019; Zbl 1428.14080) Full Text: DOI
Ahn, Jeaman; Kwak, Sijong The regularity of partial elimination ideals, Castelnuovo normality and syzygies. (English) Zbl 1423.14298 J. Algebra 533, 1-16 (2019). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 14N05 13D02 13F20 PDF BibTeX XML Cite \textit{J. Ahn} and \textit{S. Kwak}, J. Algebra 533, 1--16 (2019; Zbl 1423.14298) Full Text: DOI
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 PDF BibTeX XML Cite \textit{T. Hibi} et al., J. Algebra 532, 311--322 (2019; Zbl 1441.13042) Full Text: DOI arXiv
Jayanthan, A. V.; Narayanan, N.; Raghavendra Rao, B. V. Regularity of binomial edge ideals of certain block graphs. (English) Zbl 1415.13010 Proc. Indian Acad. Sci., Math. Sci. 129, No. 3, Paper No. 36, 10 p. (2019). MSC: 13D02 05E40 13F55 PDF BibTeX XML Cite \textit{A. V. Jayanthan} et al., Proc. Indian Acad. Sci., Math. Sci. 129, No. 3, Paper No. 36, 10 p. (2019; Zbl 1415.13010) Full Text: DOI arXiv
Lee, Wanseok; Park, Euisung; Woo, Youngho Regularity and multisecant lines of finite schemes. (English) Zbl 1423.14300 Int. Math. Res. Not. 2019, No. 6, 1725-1743 (2019). Reviewer: Peter Schenzel (Halle) MSC: 14N05 14C17 51N35 PDF BibTeX XML Cite \textit{W. Lee} et al., Int. Math. Res. Not. 2019, No. 6, 1725--1743 (2019; Zbl 1423.14300) Full Text: DOI
Minh, Nguyên Công; Trung, Trân Nam Regularity of symbolic powers and arboricity of matroids. (English) Zbl 1411.13027 Forum Math. 31, No. 2, 465-477 (2019). Reviewer: Hero Saremi (Sanandaj) MSC: 13D45 05E40 05E45 PDF BibTeX XML Cite \textit{N. C. Minh} and \textit{T. N. Trung}, Forum Math. 31, No. 2, 465--477 (2019; Zbl 1411.13027) Full Text: DOI
Malaspina, F.; Sankaran, G. K. Weighted Castelnuovo-Mumford regularity and weighted global generation. (English) Zbl 1441.14141 J. Algebra Appl. 18, No. 2, Article ID 1950028, 15 p. (2019). Reviewer: Edoardo Ballico (Povo) MSC: 14J60 13D02 PDF BibTeX XML Cite \textit{F. Malaspina} and \textit{G. K. Sankaran}, J. Algebra Appl. 18, No. 2, Article ID 1950028, 15 p. (2019; Zbl 1441.14141) Full Text: DOI arXiv
Caviglia, Giulio; Chardin, Marc; McCullough, Jason; Peeva, Irena; Varbaro, Matteo Regularity of prime ideals. (English) Zbl 1435.13009 Math. Z. 291, No. 1-2, 421-435 (2019). MSC: 13D02 PDF BibTeX XML Cite \textit{G. Caviglia} et al., Math. Z. 291, No. 1--2, 421--435 (2019; Zbl 1435.13009) Full Text: DOI
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 PDF BibTeX XML Cite \textit{T. Biyikoğlu} and \textit{Y. Civan}, J. Commut. Algebra 11, No. 1, 1--27 (2019; Zbl 1407.05188) Full Text: DOI Euclid
Nguyen, Hop D.; Vu, Thanh Powers of sums and their homological invariants. (English) Zbl 1422.13015 J. Pure Appl. Algebra 223, No. 7, 3081-3111 (2019). Reviewer: Li Liang (Lanzhou) MSC: 13D02 13C05 13D05 PDF BibTeX XML Cite \textit{H. D. Nguyen} and \textit{T. Vu}, J. Pure Appl. Algebra 223, No. 7, 3081--3111 (2019; Zbl 1422.13015) Full Text: DOI arXiv
Erey, Nursel Powers of ideals associated to \((C_{4},2K_{2})\)-free graphs. (English) Zbl 1431.05154 J. Pure Appl. Algebra 223, No. 7, 3071-3080 (2019). Reviewer: Michela Ceria (Milano) MSC: 05E40 13D02 05C70 PDF BibTeX XML Cite \textit{N. Erey}, J. Pure Appl. Algebra 223, No. 7, 3071--3080 (2019; Zbl 1431.05154) Full Text: DOI arXiv
Miyazaki, Chikashi Bounds on Castelnuovo-Mumford regularity for graded modules and projective varieties. (English) Zbl 1409.13037 Beitr. Algebra Geom. 60, No. 1, 57-65 (2019). Reviewer: Peter Schenzel (Halle) MSC: 13D45 14B15 PDF BibTeX XML Cite \textit{C. Miyazaki}, Beitr. Algebra Geom. 60, No. 1, 57--65 (2019; Zbl 1409.13037) Full Text: DOI
Manjunath, Madhusudan; Smith, Ben Commutative algebra of generalised Frobenius numbers. (English) Zbl 07024222 Algebr. Comb. 2, No. 1, 149-171 (2019). MSC: 11D07 13D02 52C07 06A07 PDF BibTeX XML Cite \textit{M. Manjunath} and \textit{B. Smith}, Algebr. Comb. 2, No. 1, 149--171 (2019; Zbl 07024222) Full Text: DOI arXiv
Norouzi, Pooran; Tehranian, Aboulfazl A bound for the regularity of powers of edge ideals. (English) Zbl 1409.13030 Bull. Iran. Math. Soc. 44, No. 3, 605-609 (2018). MSC: 13D02 13F20 13C14 PDF BibTeX XML Cite \textit{P. Norouzi} and \textit{A. Tehranian}, Bull. Iran. Math. Soc. 44, No. 3, 605--609 (2018; Zbl 1409.13030) Full Text: DOI
Seyedmirzaei, Seyed Abbas; Yassemi, Siamak A class of edge ideals with regularity at most four. (English) Zbl 1408.13040 Bull. Korean Math. Soc. 55, No. 6, 1749-1754 (2018). Reviewer: Somayeh Bandari (Buein Zahra) MSC: 13D02 13F55 05E45 PDF BibTeX XML Cite \textit{S. A. Seyedmirzaei} and \textit{S. Yassemi}, Bull. Korean Math. Soc. 55, No. 6, 1749--1754 (2018; Zbl 1408.13040) Full Text: Link
Hibi, Takayuki; Matsuda, Kazunori Regularity and \(h\)-polynomials of monomial ideals. (English) Zbl 1404.05218 Math. Nachr. 291, No. 16, 2427-2434 (2018). Reviewer: Thomas Ales (Sterling) MSC: 05E40 13H10 PDF BibTeX XML Cite \textit{T. Hibi} and \textit{K. Matsuda}, Math. Nachr. 291, No. 16, 2427--2434 (2018; Zbl 1404.05218) Full Text: DOI arXiv
Skjelnes, Roy Mikael Quot schemes in Grassmannians. (English) Zbl 1405.13020 Indiana Univ. Math. J. 67, No. 2, 623-643 (2018). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13C10 14C05 14D22 14N99 PDF BibTeX XML Cite \textit{R. M. Skjelnes}, Indiana Univ. Math. J. 67, No. 2, 623--643 (2018; Zbl 1405.13020) Full Text: DOI arXiv
Sun, Mengyao Regularity and projective dimension of edge ideals. (English) Zbl 1409.13031 Commun. Algebra 46, No. 11, 4830-4843 (2018). Reviewer: Francesco Strazzanti (Catania) MSC: 13D02 05E40 13F55 PDF BibTeX XML Cite \textit{M. Sun}, Commun. Algebra 46, No. 11, 4830--4843 (2018; Zbl 1409.13031) Full Text: DOI
Saeedi Madani, Sara; Kiani, Dariush Binomial edge ideals of regularity 3. (English) Zbl 1403.13028 J. Algebra 515, 157-172 (2018). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13D02 05E40 PDF BibTeX XML Cite \textit{S. Saeedi Madani} and \textit{D. Kiani}, J. Algebra 515, 157--172 (2018; Zbl 1403.13028) Full Text: DOI arXiv
Lee, Wanseok; Yang, Shuailing Defining equations of rational curves in smooth quadric surface. (English) Zbl 1394.14021 East Asian Math. J. 34, No. 1, 21-28 (2018). MSC: 14H45 14H50 14N05 PDF BibTeX XML Cite \textit{W. Lee} and \textit{S. Yang}, East Asian Math. J. 34, No. 1, 21--28 (2018; Zbl 1394.14021) Full Text: DOI
Di Marca, Michela; Varbaro, Matteo On the diameter of an ideal. (English) Zbl 1400.13009 J. Algebra 511, 471-485 (2018). Reviewer: T. Tamizh Chelvam (Tamilnadu) MSC: 13A15 05E15 13P10 PDF BibTeX XML Cite \textit{M. Di Marca} and \textit{M. Varbaro}, J. Algebra 511, 471--485 (2018; Zbl 1400.13009) Full Text: DOI arXiv
Bruzzo, Ugo; Grassi, Antonella The Noether-Lefschetz locus of surfaces in toric threefolds. (English) Zbl 1423.14053 Commun. Contemp. Math. 20, No. 5, Article ID 1750070, 20 p. (2018). MSC: 14C22 14J70 14M25 PDF BibTeX XML Cite \textit{U. Bruzzo} and \textit{A. Grassi}, Commun. Contemp. Math. 20, No. 5, Article ID 1750070, 20 p. (2018; Zbl 1423.14053) Full Text: DOI arXiv
Chu, Lizhong; Liu, Shisen; Tang, Zhongming Castelnuovo-Mumford regularity and projective dimension of a squarefree monomial ideal. (English) Zbl 1394.13026 Front. Math. China 13, No. 2, 277-286 (2018). Reviewer: Hero Saremi (Sanandaj) MSC: 13F55 13C10 13C15 PDF BibTeX XML Cite \textit{L. Chu} et al., Front. Math. China 13, No. 2, 277--286 (2018; Zbl 1394.13026) Full Text: DOI
Erey, Nursel Powers of edge ideals with linear resolutions. (English) Zbl 1428.13019 Commun. Algebra 46, No. 9, 4007-4020 (2018). Reviewer: Anda-Georgina Olteanu (Constanta) MSC: 13D02 13F55 05C75 PDF BibTeX XML Cite \textit{N. Erey}, Commun. Algebra 46, No. 9, 4007--4020 (2018; Zbl 1428.13019) Full Text: DOI arXiv
Rossi, Maria Evelina; Trung, Dinh Thanh; Trung, Ngo Viet Castelnuovo-Mumford regularity and Ratliff-Rush closure. (English) Zbl 1412.13015 J. Algebra 504, 568-586 (2018). Reviewer: Kuei-Nuan Lin (McKeesport) MSC: 13C05 13A30 13H10 14B05 PDF BibTeX XML Cite \textit{M. E. Rossi} et al., J. Algebra 504, 568--586 (2018; Zbl 1412.13015) Full Text: DOI
De Stefani, Alessandro; Núñez-Betancourt, Luis; Pérez, Felipe On the existence of \(F\)-thresholds and related limits. (English) Zbl 1405.13010 Trans. Am. Math. Soc. 370, No. 9, 6629-6650 (2018). Reviewer: Janet Vassilev (Albuquerque) MSC: 13A35 13D45 14B05 PDF BibTeX XML Cite \textit{A. De Stefani} et al., Trans. Am. Math. Soc. 370, No. 9, 6629--6650 (2018; Zbl 1405.13010) Full Text: DOI
Selvaraja, S. Regularity of powers of edge ideals of product of graphs. (English) Zbl 1391.13042 J. Algebra Appl. 17, No. 7, Article ID 1850128, 20 p. (2018). MSC: 13F20 13D02 05C25 05C70 PDF BibTeX XML Cite \textit{S. Selvaraja}, J. Algebra Appl. 17, No. 7, Article ID 1850128, 20 p. (2018; Zbl 1391.13042) Full Text: DOI
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 PDF BibTeX XML Cite \textit{S. A. Seyed Fakhari} and \textit{S. Yassemi}, Collect. Math. 69, No. 2, 249--262 (2018; Zbl 1391.13024) Full Text: DOI
Huneke, Craig; Mantero, Paolo; McCullough, Jason; Seceleanu, Alexandra A tight bound on the projective dimension of four quadrics. (English) Zbl 1395.13014 J. Pure Appl. Algebra 222, No. 9, 2524-2551 (2018). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13D05 14M07 13C40 13D02 PDF BibTeX XML Cite \textit{C. Huneke} et al., J. Pure Appl. Algebra 222, No. 9, 2524--2551 (2018; Zbl 1395.13014) Full Text: DOI arXiv
Zhu, Guangjun Projective dimension and regularity of the path ideal of the line graph. (English) Zbl 1394.13019 J. Algebra Appl. 17, No. 4, Article ID 1850068, 15 p. (2018). Reviewer: Somayeh Bandari (Buein Zahra) MSC: 13D02 13F55 13C15 13D99 PDF BibTeX XML Cite \textit{G. Zhu}, J. Algebra Appl. 17, No. 4, Article ID 1850068, 15 p. (2018; Zbl 1394.13019) Full Text: DOI arXiv
Lamei, Kamran; Nemati, Navid Castelnuovo-Mumford regularity of Koszul cycles and Koszul homologies. (English) Zbl 1405.13025 Proc. Am. Math. Soc. 146, No. 7, 2765-2772 (2018). Reviewer: Takesi Kawasaki (Tokyo) MSC: 13D02 13D03 PDF BibTeX XML Cite \textit{K. Lamei} and \textit{N. Nemati}, Proc. Am. Math. Soc. 146, No. 7, 2765--2772 (2018; Zbl 1405.13025) Full Text: DOI arXiv
Jayanthan, A. V.; Narayanan, N.; Selvaraja, S. Regularity of powers of bipartite graphs. (English) Zbl 1381.05033 J. Algebr. Comb. 47, No. 1, 17-38 (2018). MSC: 05C25 05C70 PDF BibTeX XML Cite \textit{A. V. Jayanthan} et al., J. Algebr. Comb. 47, No. 1, 17--38 (2018; Zbl 1381.05033) Full Text: DOI arXiv
McCullough, Jason; Peeva, Irena Counterexamples to the Eisenbud-Goto regularity conjecture. (English) Zbl 1390.13043 J. Am. Math. Soc. 31, No. 2, 473-496 (2018). Reviewer: Sarah Mayes-Tang (Toronto) MSC: 13D02 PDF BibTeX XML Cite \textit{J. McCullough} and \textit{I. Peeva}, J. Am. Math. Soc. 31, No. 2, 473--496 (2018; Zbl 1390.13043) Full Text: DOI
Noma, Atsushi Projective varieties with nonbirational linear projections and applications. (English) Zbl 06830272 Trans. Am. Math. Soc. 370, No. 4, 2299-2320 (2018). MSC: 14N05 14N15 PDF BibTeX XML Cite \textit{A. Noma}, Trans. Am. Math. Soc. 370, No. 4, 2299--2320 (2018; Zbl 06830272) Full Text: DOI
DiPasquale, Michael Dimension of mixed splines on polytopal cells. (English) Zbl 1420.13065 Math. Comput. 87, No. 310, 905-939 (2018). Reviewer: Anda-Georgina Olteanu (Constanta) MSC: 13P25 13P20 13D02 52B70 PDF BibTeX XML Cite \textit{M. DiPasquale}, Math. Comput. 87, No. 310, 905--939 (2018; Zbl 1420.13065) Full Text: DOI
Römer, Tim; Saeedi Madani, Sara Retracts and algebraic properties of cut algebras. (English) Zbl 1376.05166 Eur. J. Comb. 69, 214-236 (2018). MSC: 05E15 13P10 52B20 13F55 PDF BibTeX XML Cite \textit{T. Römer} and \textit{S. Saeedi Madani}, Eur. J. Comb. 69, 214--236 (2018; Zbl 1376.05166) Full Text: DOI
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 PDF BibTeX XML Cite \textit{S. A. Seyed Fakhari}, Proc. Am. Math. Soc. 146, No. 1, 97--110 (2018; Zbl 1386.13039) Full Text: DOI arXiv
Hashemi, Amir; Seiler, Werner M. Dimension-dependent upper bounds for Gröbner bases. (English) Zbl 1450.13012 Burr, Michael (ed.), Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25–28, 2017. New York, NY: Association for Computing Machinery (ACM). 189-196 (2017). MSC: 13P10 68W30 PDF BibTeX XML Cite \textit{A. Hashemi} and \textit{W. M. Seiler}, in: Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25--28, 2017. New York, NY: Association for Computing Machinery (ACM). 189--196 (2017; Zbl 1450.13012) Full Text: DOI
Moghimian, Mahdiyeh An upper bound for the regularity of powers of edge ideals. (English) Zbl 1405.13043 Bull. Iran. Math. Soc. 43, No. 6, 1695-1698 (2017). MSC: 13F55 13D02 05E40 05C38 PDF BibTeX XML Cite \textit{M. Moghimian}, Bull. Iran. Math. Soc. 43, No. 6, 1695--1698 (2017; Zbl 1405.13043) Full Text: Link
Moradi, Somayeh; Khosh-Ahang, Fahimeh Matchings in hypergraphs and Castelnuovo-Mumford regularity. (English) Zbl 1399.05103 Publ. Math. 91, No. 3-4, 427-439 (2017). Reviewer: Christodor-Paul Ionescu (Bucureşti) MSC: 05C25 05C65 13P10 13F20 05E45 PDF BibTeX XML Cite \textit{S. Moradi} and \textit{F. Khosh-Ahang}, Publ. Math. 91, No. 3--4, 427--439 (2017; Zbl 1399.05103) Full Text: DOI
Brodmann, Markus; Lee, Wanseok; Park, Euisung; Schenzel, Peter On surfaces of maximal sectional regularity. (English) Zbl 1393.14027 Taiwanese J. Math. 21, No. 3, 549-567 (2017). Reviewer: Nathan Grieve (East Lansing) MSC: 14H45 13D02 PDF BibTeX XML Cite \textit{M. Brodmann} et al., Taiwanese J. Math. 21, No. 3, 549--567 (2017; Zbl 1393.14027) Full Text: DOI Euclid arXiv
Olteanu, Anda; Olteanu, Oana The square of the line graph and path ideals. (English) Zbl 1388.13047 Math. Commun. 22, No. 2, 235-249 (2017). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13F55 13C15 13C14 PDF BibTeX XML Cite \textit{A. Olteanu} and \textit{O. Olteanu}, Math. Commun. 22, No. 2, 235--249 (2017; Zbl 1388.13047) Full Text: Link
Tang, Zhongming; Gong, Cheng On the stability and regularity of the multiplier ideals of monomial ideals. (English) Zbl 1388.14066 Indian J. Pure Appl. Math. 48, No. 2, 167-176 (2017). MSC: 14F18 13F20 PDF BibTeX XML Cite \textit{Z. Tang} and \textit{C. Gong}, Indian J. Pure Appl. Math. 48, No. 2, 167--176 (2017; Zbl 1388.14066) Full Text: DOI
Nanduri, Ramakrishna On bigraded regularities of Rees algebra. (English) Zbl 1387.13019 Proc. Indian Acad. Sci., Math. Sci. 127, No. 4, 599-614 (2017). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13A30 13D45 13D02 PDF BibTeX XML Cite \textit{R. Nanduri}, Proc. Indian Acad. Sci., Math. Sci. 127, No. 4, 599--614 (2017; Zbl 1387.13019) Full Text: DOI
Alilooee, Ali; Banerjee, Arindam Powers of edge ideals of regularity three bipartite graphs. (English) Zbl 1372.05046 J. Commut. Algebra 9, No. 4, 441-454 (2017). MSC: 05C10 13F55 PDF BibTeX XML Cite \textit{A. Alilooee} and \textit{A. Banerjee}, J. Commut. Algebra 9, No. 4, 441--454 (2017; Zbl 1372.05046) Full Text: DOI Euclid arXiv
Gu, Yan Regularity of powers of edge ideals of some graphs. (English) Zbl 1388.13046 Acta Math. Vietnam. 42, No. 3, 445-454 (2017). Reviewer: Susan Morey (San Marcos) MSC: 13F55 13D02 05C38 05E40 PDF BibTeX XML Cite \textit{Y. Gu}, Acta Math. Vietnam. 42, No. 3, 445--454 (2017; Zbl 1388.13046) Full Text: DOI
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 PDF BibTeX XML Cite \textit{A. R. Kustin} et al., Algebra Number Theory 11, No. 7, 1489--1525 (2017; Zbl 1386.13014) Full Text: DOI
Coskun, Izzet; Hyeon, Donghoon; Park, Junyoung Castelnuovo-Mumford regularity and Bridgeland stability of points in the projective plane. (English) Zbl 1388.14023 Proc. Am. Math. Soc. 145, No. 11, 4573-4583 (2017). Reviewer: Juan C. Migliore (Notre Dame) MSC: 14C05 13D02 14D20 13D99 14D99 14C99 PDF BibTeX XML Cite \textit{I. Coskun} et al., Proc. Am. Math. Soc. 145, No. 11, 4573--4583 (2017; Zbl 1388.14023) Full Text: DOI