Mishra, Ankit; Puthenpurakal, Tony J. On associated graded modules of maximal Cohen-Macaulay modules over hypersurface rings. (English) Zbl 07960576 J. Algebra Appl. 24, No. 1, Article ID 2550007, 19 p. (2025). MSC: 13A30 13D40 13C15 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jabbar Nezhad, Babak Equations of the multi-Rees algebra of fattened coordinate subspaces. (English) Zbl 07960573 J. Algebra Appl. 23, No. 14, Article ID 2550004, 23 p. (2024). MSC: 13A30 13P10 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abdolmaleki, Reza; Kumashiro, Shinya Defining ideals of Cohen-Macaulay fiber cones. (English) Zbl 07959786 Int. J. Algebra Comput. 34, No. 7, 1099-1109 (2024). MSC: 13A30 13E15 13C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hà, Huy Tài; Nguyễn, Thái Thành Newton-Okounkov body, Rees algebra, and analytic spread of graded families of monomial ideals. (English) Zbl 07935739 Trans. Am. Math. Soc., Ser. B 11, 1065-1097 (2024). MSC: 13A30 05E16 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burity, Ricardo; Tohǎneanu, Ştefan O.; Xie, Yu Homological properties of ideals generated by fold products of linear forms. (English) Zbl 07922240 Mich. Math. J. 74, No. 4, 797-824 (2024). MSC: 13A30 13D02 14N20 14Q99 52C35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Puthenpurakal, Tony J.; Sahoo, Samarendra Quasi-pure resolutions and some lower bounds of Hilbert coefficients of Cohen-Macaulay modules. (English) Zbl 07905959 J. Algebra 658, 38-48 (2024). Reviewer: Jugal K. Verma (Mumbai) MSC: 13A30 13C14 13D40 13D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Stefani, Alessandro; Montaño, Jonathan; Núñez-Betancourt, Luis Blowup algebras of determinantal ideals in prime characteristic. (English) Zbl 07900391 J. Lond. Math. Soc., II. Ser. 110, No. 2, Article ID e12969, 50 p. (2024). MSC: 13A30 13A35 13A02 13C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Celikbas, Ela; Dufresne, Emilie; Fouli, Louiza; Gorla, Elisa; Lin, Kuei-Nuan; Polini, Claudia; Swanson, Irena Rees algebras of sparse determinantal ideals. (English) Zbl 1545.13006 Trans. Am. Math. Soc. 377, No. 4, 2317-2333 (2024). Reviewer: Tongsuo Wu (Shanghai) MSC: 13A30 13C40 14M12 13P10 05E40 13F50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Crupi, Marilena; Ficarra, Antonino Very well-covered graphs via the Rees algebra. (English) Zbl 1542.13004 Mediterr. J. Math. 21, No. 4, Paper No. 135, 17 p. (2024). Reviewer: Cristodor-Paul Ionescu (Bucureşti) MSC: 13A30 13F55 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cutkosky, Steven Dale; Praharaj, Smita The asymptotic Samuel function of a filtration. (English) Zbl 1547.13011 Acta Math. Vietnam. 49, No. 1, 61-81 (2024). Reviewer: Kamran Divaani-Aazar (Tehrān) MSC: 13A30 13H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Conca, Aldo A note on the \(v\)-invariant. (English) Zbl 1541.13004 Proc. Am. Math. Soc. 152, No. 6, 2349-2351 (2024). Reviewer: Thanh Vu (Hà Nội) MSC: 13A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Puthenpurakal, Tony J. Itoh’s conjecture for normal ideals. (English) Zbl 1539.13014 Math. Z. 307, No. 1, Paper No. 9, 24 p. (2024). Reviewer: Kamran Divaani-Aazar (Tehran) MSC: 13A30 13D45 13H10 13H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Weaver, Matthew The equations of Rees algebras of height three Gorenstein ideals in hypersurface rings. (English) Zbl 1546.13014 J. Commut. Algebra 16, No. 1, 123-149 (2024). Reviewer: Andrew Kustin (Columbia) MSC: 13A30 13D02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Das, Suprajo; Roy, Sudeshna Finitely generated saturated multi-Rees algebras. (English) Zbl 1539.13013 J. Algebra 646, 456-477 (2024). MSC: 13A30 13H15 13D45 16W50 13E05 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banerjee, Arindam; Goel, Kriti; Verma, J. K. On the Hilbert-Samuel coefficients of Frobenius powers of an ideal. (English) Zbl 07810092 Proc. Am. Math. Soc. 152, No. 4, 1501-1515 (2024). MSC: 13A30 13C14 13A35 13C15 13D40 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramkumar, Ritvik; Sammartano, Alessio On Rees algebras of 2-determinantal ideals. (English) Zbl 1539.13015 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12821, 31 p. (2024). Reviewer: Marko Radovanović (Beograd) MSC: 13A30 13C40 05E40 13D10 13F55 13H10 13P10 14C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Puthenpurakal, Tony J. On \(p_g\)-ideals in positive characteristic. (English) Zbl 1547.13012 Proc. Am. Math. Soc. 152, No. 3, 901-907 (2024). MSC: 13A30 13B22 13A50 14B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kara, Selvi; Lin, Kuei-Nuan; Castillo, Gabriel Sosa Multi-Rees algebras of strongly stable ideals. (English) Zbl 1545.13007 Collect. Math. 75, No. 1, 213-246 (2024). Reviewer: Tongsuo Wu (Shanghai) MSC: 13A30 13P10 05E40 13C05 13F55 05C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gimenez, Philippe; Planas-Vilanova, Francesc Sifted degrees of the equations of the Rees module and their connection with the Artin-Rees numbers. arXiv:2412.15368 Preprint, arXiv:2412.15368 [math.AC] (2024). MSC: 13A30 13D02 × Cite Format Result Cite Full Text: arXiv OA License
Puthenpurakal, Tony J.; Sahoo, Samarendra Asymptotic behavior of invariants of syzygies of maximal Cohen-Macaulay modules. arXiv:2412.05860 Preprint, arXiv:2412.05860 [math.AC] (2024). MSC: 13A30 13C14 13D40 13D02 13D07 13D45 × Cite Format Result Cite Full Text: arXiv
Costantini, Alessandra; Price, Edward F.; Weaver, Matthew On Rees algebras of ideals and modules with weak residual conditions. arXiv:2409.14238 Preprint, arXiv:2409.14238 [math.AC] (2024). MSC: 13A30 × Cite Format Result Cite Full Text: arXiv
Jahani, Iman; Bayati, Shamila; Rahmati, Farhad Symbolic Powers and Symbolic Rees Algebras of Binomial Edge Ideals of Some Classes of Block Graphs. arXiv:2409.10137 Preprint, arXiv:2409.10137 [math.AC] (2024). MSC: 13A30 13A35 13C13 13F20 05E40 × Cite Format Result Cite Full Text: arXiv OA License
Puthenpurakal, Tony J. First Coefficient ideals and \(R_1\) property of Rees algebras. arXiv:2408.05532 Preprint, arXiv:2408.05532 [math.AC] (2024). MSC: 13A30 13B22 13D40 13H10 × Cite Format Result Cite Full Text: arXiv
Gasanova, Oleksandra; Herzog, Jürgen; Kling, Filip Jonsson; Moradi, Somayeh On the Rees algebra and the conductor of an ideal. arXiv:2407.06922 Preprint, arXiv:2407.06922 [math.AC] (2024). MSC: 13A30 05E40 × Cite Format Result Cite Full Text: arXiv OA License
Weaver, Matthew Duality and the equations of Rees rings and tangent algebras. arXiv:2406.06766 Preprint, arXiv:2406.06766 [math.AC] (2024). MSC: 13A30 × Cite Format Result Cite Full Text: arXiv OA License
Puthenpurakal, Tony J.; Sahoo, Samarendra On unmixed and equi-dimensional associated graded rings. arXiv:2405.20647 Preprint, arXiv:2405.20647 [math.AC] (2024). MSC: 13A30 13D40 13B22 × Cite Format Result Cite Full Text: arXiv
Puthenpurakal, Tony J. A solution to Itoh’s conjecture for integral closure filtration. arXiv:2404.07638 Preprint, arXiv:2404.07638 [math.AC] (2024). MSC: 13A30 13D45 13H10 13H15 × Cite Format Result Cite Full Text: arXiv
Puthenpurakal, Tony J. Integral closure and local cohomology. arXiv:2404.03841 Preprint, arXiv:2404.03841 [math.AC] (2024). MSC: 13A30 13D45 13D40 × Cite Format Result Cite Full Text: arXiv
Puthenpurakal, Tony J. A convenient category to study asymptotic primes and related questions. arXiv:2401.02751 Preprint, arXiv:2401.02751 [math.AC] (2024). MSC: 13A30 13E05 18A22 × Cite Format Result Cite Full Text: arXiv
Puthenpurakal, Tony J. On coefficient ideals. (English) Zbl 1524.13025 Commun. Algebra 51, No. 12, 4967-4975 (2023). Reviewer: Siamak Yassemi (Tehran) MSC: 13A30 13D45 13H10 13H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramos, Zaqueu; Simis, Aron Tight and adjusted equigenerated sequences, and the special fiber. (English) Zbl 1532.13004 São Paulo J. Math. Sci. 17, No. 1, 320-344 (2023). Reviewer: S. H. Hassanzadeh (Rio de Janeiro) MSC: 13A30 13E15 13H10 × 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
D’Cruz, Clare; Mandal, Mousumi; Verma, J. K. Symbolic Rees algebras and set-theoretic complete intersections. (English) Zbl 1516.13003 J. Algebra 630, 317-333 (2023). Reviewer: Halszka Tutaj-Gasinska (Kraków) MSC: 13A30 13H15 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × 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
Inagawa, Taro; Kurano, Kazuhiko Some necessary and sufficient condition for finite generation of symbolic Rees rings. (English) Zbl 1508.13006 J. Algebra 619, 153-198 (2023). Reviewer: Takesi Kawasaki (Tokyo) MSC: 13A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kotal, Nirmal; Kummini, Manoj The non-\(F\)-rational locus of Rees algebras. arXiv:2311.07074 Preprint, arXiv:2311.07074 [math.AC] (2023). MSC: 13A30 13A35 × Cite Format Result Cite Full Text: arXiv OA License
Puthenpurakal, Tony J. Bockstein cohomology of Maximal Cohen-Macaulay modules over Gorenstein isolated singularities. arXiv:2310.17446 Preprint, arXiv:2310.17446 [math.AC] (2023). MSC: 13A30 13D40 13D07 × Cite Format Result Cite Full Text: arXiv
Costantini, Alessandra; Price, Edward F.; Weaver, Matthew On Rees algebras of linearly presented ideals and modules. arXiv:2308.16010 Preprint, arXiv:2308.16010 [math.AC] (2023). MSC: 13A30 × Cite Format Result Cite Full Text: arXiv
Mishra, Ankit; Puthenpurakal, Tony J. A sub-functor for Ext and Cohen-Macaulay associated graded modules with bounded multiplicity-II. arXiv:2306.07361 Preprint, arXiv:2306.07361 [math.AC] (2023). MSC: 13A30 13C14 13D40 13D07 × Cite Format Result Cite Full Text: arXiv
Fouli, Louiza; Montaño, Jonathan; Polini, Claudia; Ulrich, Bernd The core of monomial ideals. arXiv:2303.10486 Preprint, arXiv:2303.10486 [math.AC] (2023). MSC: 13A30 13B22 05E40 14F18 13C40 13P10 × Cite Format Result Cite Full Text: arXiv OA License
Mafi, Amir; Naderi, Dler; Tohidi, Mohammad On the dual of Burch’s inequality and the width of certain graded Artinian modules. (English) Zbl 07831104 Math. Rep., Buchar. 24(74), No. 3, 443-452 (2022). MSC: 13A30 13C14 13E10 13H10 × Cite Format Result Cite Review PDF
Ozeki, Kazuho The reduction number of stretched ideals. (English) Zbl 1525.13004 J. Math. Soc. Japan 74, No. 4, 1021-1045 (2022). MSC: 13A30 13D40 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Costantini, Alessandra Cohen-Macaulay fiber cones and defining ideal of Rees algebras of modules. (English) Zbl 1496.13006 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, 207-232 (2022). MSC: 13A30 13H10 13H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mishra, Ankit; Puthenpurakal, Tony J. Cohen-Macaulay local rings with \(e_2 = e_1 - e + 1\). (English) Zbl 1502.13016 J. Algebra 611, 94-109 (2022). Reviewer: Kamran Divaani-Aazar (Tehran) MSC: 13A30 13D45 13H10 13H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burity, Ricardo; Simis, Aron; Tohǎneanu, Ştefan O. On the Jacobian ideal of an almost generic hyperplane arrangement. (English) Zbl 1496.13005 Proc. Am. Math. Soc. 150, No. 10, 4259-4276 (2022). Reviewer: Piotr Pokora (Kraków) MSC: 13A30 13C15 14N20 52C35 × Cite Format Result Cite Review PDF Full Text: DOI
Cid-Ruiz, Yairon A \(D\)-modules approach on the equations of the Rees algebra. (English) Zbl 1498.13013 J. Commut. Algebra 14, No. 2, 155-176 (2022). Reviewer: S. H. Hassanzadeh (Rio de Janeiro) MSC: 13A30 13N10 13D02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cooper, Monte; Price, Edward F. Bounding the degrees of the defining equations of Rees rings for certain determinantal and Pfaffian ideals. (English) Zbl 1502.13015 J. Algebra 606, 613-653 (2022). Reviewer: Susan Morey (San Marcos) MSC: 13A30 13C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Iovanov, Miodrag C. Commutative non-Noetherian rings with the diamond property. (English) Zbl 1486.13009 Algebr. Represent. Theory 25, No. 3, 705-724 (2022). MSC: 13A30 13B35 13H99 13J10 16W60 16W80 × Cite Format Result Cite Review PDF Full Text: DOI
Ozeki, Kazuho The first Hilbert coefficient of stretched ideals. (English) Zbl 1484.13010 Acta Math. Vietnam. 47, No. 1, 251-267 (2022). MSC: 13A30 13H10 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cid-Ruiz, Yairon; Simis, Aron Degree of rational maps and specialization. (English) Zbl 1523.13007 Int. Math. Res. Not. 2022, No. 6, 4451-4502 (2022). MSC: 13A30 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Planas-Vilanova, Francesc Regular local rings of dimension four and Gorenstein syzygetic prime ideals. (English) Zbl 1483.13013 J. Algebra 601, 105-114 (2022). MSC: 13A30 13D02 13D03 13H05 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duarte, Luís Betti numbers under small perturbations. (English) Zbl 1492.13006 J. Algebra 594, 138-153 (2022). Reviewer: Pedro Teixeira (Galesburg) MSC: 13A30 13C05 13D03 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akhavin, Maryam; Nejad, Abbas Nasrollah The Relation Type of Varieties. arXiv:2208.01763 Preprint, arXiv:2208.01763 [math.AG] (2022). MSC: 13A30 14A15 14B05 32S10 × Cite Format Result Cite Full Text: arXiv OA License
Cid-Ruiz, Yairon; Polini, Claudia; Ulrich, Bernd Generalized Jouanolou duality, weakly Gorenstein rings, and applications to blowup algebras. arXiv:2205.03837 Preprint, arXiv:2205.03837 [math.AC] (2022). MSC: 13A30 13H10 13D45 13D07 14E05 × Cite Format Result Cite Full Text: arXiv
Salifou, Dramane Bio Filtrations, analytic spread, and integral dependence. (English) Zbl 1513.13015 Afr. Math. Ann. (AFMA) 9, 119-125 (2021). MSC: 13A30 13E05 × Cite Format Result Cite Review PDF
Banerjee, Arindam; Goel, Kriti; Verma, J. K. Generalized Hilbert-Kunz function of the Rees algebra of the face ring of a simplicial complex. (English) Zbl 1489.13005 Baeth, Nicholas R. (ed.) et al., Commutative algebra. 150 years with Roger and Sylvia Wiegand. Combined proceedings: second international meeting on commutative algebra and related areas, SIMCARA, Universidade de São Paulo, São Carlos, Brazil, July 22–26, 2019 and AMS special session on commutative algebra. In celebration of the 150th birthday of Roger and Sylvia Wiegand, University of Wisconsin-Madison, Wisconsin, September 14–15, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 773, 207-224 (2021). MSC: 13A30 13D40 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kummini, Manoj; Masuti, Shreedevi K. On conjectures of Itoh and of Lipman on the cohomology of normalized blow-ups. (English) Zbl 1520.13005 J. Commut. Algebra 13, No. 4, 505-522 (2021). MSC: 13A30 13B22 13D45 13H10 13H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Montaner, Josep Àlvarez; Planas-Vilanova, Francesc Divisors of expected Jacobian type. (English) Zbl 1522.13009 Math. Scand. 127, No. 2, 161-184 (2021). MSC: 13A30 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miranda-Neto, Cleto B. Pullback of the normal module of ideals with low codimension. (English) Zbl 1481.13010 Q. J. Math. 72, No. 4, 1147-1166 (2021). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13A30 13C14 × Cite Format Result Cite Review PDF Full Text: DOI
Mafi, Amir; Naderi, Dler Linear resolutions and polymatroidal ideals. (English) Zbl 1477.13014 Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 25, 15 p. (2021). Reviewer: Somayeh Bandari (Qazvin) MSC: 13A30 13F20 13C13 13B30 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mafi, Amir; Naderi, Dler On the Hilbert coefficients, depth of associated graded rings and reduction numbers. (English) Zbl 1477.13013 J. Commut. Algebra 13, No. 1, 103-115 (2021). Reviewer: Hero Saremi (Sanandaj) MSC: 13A30 13D40 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goel, Kriti; Koley, Mitra; Verma, J. K. Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra. (English) Zbl 1507.13004 Commun. Algebra 49, No. 7, 3066-3084 (2021). MSC: 13A30 13A35 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Al-Ayyoub, Ibrahim Results on the behavior of the Ratliff-Rush operation and the depth of the associated graded ring. (English) Zbl 1470.13007 Commun. Algebra 49, No. 8, 3447-3456 (2021). MSC: 13A30 13C15 13F20 × Cite Format Result Cite Review PDF Full Text: DOI
Costantini, Alessandra Residual intersections and modules with Cohen-Macaulay Rees algebra. (English) Zbl 1482.13010 J. Algebra 587, 36-63 (2021). Reviewer: Shreedevi K. Masuti (Dharwad) MSC: 13A30 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Cruz, Clare Resurgence and Castelnuovo-Mumford regularity of certain monomial curves in \(\mathbb{A}^3\). (English) Zbl 1472.13008 Acta Math. Vietnam. 46, No. 3, 471-481 (2021). Reviewer: Hero Saremi (Sanandaj) MSC: 13A30 13H05 13H15 13P10 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Kuei-Nuan; Shen, Yi-Huang On the conjecture of Vasconcelos for Artinian almost complete intersection monomial ideals. (English) Zbl 1467.13007 Nagoya Math. J. 243, 263-277 (2021). MSC: 13A30 13D02 13H10 13P10 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Montaño, Jonathan; Núñez-Betancourt, Luis Splittings and symbolic powers of square-free monomial ideals. (English) Zbl 1467.13008 Int. Math. Res. Not. 2021, No. 3, 2304-2320 (2021). MSC: 13A30 13A35 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
DiPasquale, Michael; Jabbar Nezhad, Babak Koszul multi-Rees algebras of principal \(L\)-Borel ideals. (English) Zbl 1473.13005 J. Algebra 581, 353-385 (2021). Reviewer: Alessandro De Stefani (Genova) MSC: 13A30 13P10 05E40 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chardin, M.; Hassanzadeh, S. H.; Simis, A. Degree of rational maps versus syzygies. (English) Zbl 1469.13009 J. Algebra 573, 641-662 (2021). MSC: 13A30 13D02 14E05 13A02 13H10 13H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Varbaro, Matteo Gröbner degenerations. (English) Zbl 1462.13004 Conca, Aldo (ed.) et al., Recent developments in commutative algebra. Based on lectures given at the CIME-CIRM workshop, Levico Terme, Trento, Italy, July 1–5, 2019. Cham: Springer; Florence: Fondazione CIME. Lect. Notes Math. 2283, 59-80 (2021). Reviewer: Peter Schenzel (Halle) MSC: 13A30 13D40 13D45 13P10 × Cite Format Result Cite Review PDF Full Text: DOI
Polini, Claudia Defining equations of blowup algebras. (English) Zbl 1457.13008 Conca, Aldo (ed.) et al., Recent developments in commutative algebra. Based on lectures given at the CIME-CIRM workshop, Levico Terme, Trento, Italy, July 1–5, 2019. Cham: Springer; Florence: Fondazione CIME. Lect. Notes Math. 2283, 1-31 (2021). MSC: 13A30 13H10 13D02 13A15 13-02 × Cite Format Result Cite Review PDF Full Text: DOI
Gasanova, Oleksandra Powers of monomial ideals and the Ratliff-Rush operation. (English) Zbl 1457.13006 J. Symb. Comput. 104, 69-89 (2021). MSC: 13A30 13F25 13P10 13F55 13A15 13F20 × Cite Format Result Cite Review PDF Full Text: DOI
Ciupercă, Cătălin Integral closure of strongly Golod ideals. (English) Zbl 1457.13005 Nagoya Math. J. 241, 204-216 (2021). MSC: 13A30 13B22 13D40 × Cite Format Result Cite Review PDF Full Text: DOI
Puthenpurakal, Tony J.; Watanabe, Kei-ichi; Yoshida, Ken-ichi The strong Rees property of powers of the maximal ideal and Takahashi-Dao’s question. (English) Zbl 1471.13012 J. Algebra 571, 297-315 (2021). Reviewer: Catalin Ciuperca (Fargo) MSC: 13A30 13H15 13B22 14B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hartshorne, Robin; Polini, Claudia Simple \(\mathcal{D}\)-module components of local cohomology modules. (English) Zbl 1464.13003 J. Algebra 571, 232-257 (2021). Reviewer: Yi-Huang Shen (Hefei) MSC: 13A30 13H15 14A10 13D45 13D02 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koley, Mitra; Kummini, Manoj \(F\)-rationality of Rees algebras. (English) Zbl 1471.13011 J. Algebra 571, 151-167 (2021). Reviewer: Catalin Ciuperca (Fargo) MSC: 13A30 13A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Puthenpurakal, Tony J. On \(p_g\)-ideals. (English) Zbl 1454.13007 Math. J. Okayama Univ. 63, 167-173 (2021). MSC: 13A30 13B22 13A50 14B05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Planas-Vilanova, Francesc Noetherian rings of low global dimension and syzygetic prime ideals. (English) Zbl 1441.13012 J. Pure Appl. Algebra 225, No. 2, Article ID 106494, 7 p. (2021). MSC: 13A30 13D05 13D03 13H05 13H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mishra, Ankit; Puthenpurakal, Tony J. On associated graded modules of maximal Cohen-Macaulay modules over hypersurface rings. arXiv:2106.13758 Preprint, arXiv:2106.13758 [math.AC] (2021). MSC: 13A30 13D40 13C15 13H10 × Cite Format Result Cite Full Text: arXiv
Burity, Ricardo; Simis, Aron; Tohaneanu, Stefan On the Jacobian ideal of central arrangements. arXiv:2101.02735 Preprint, arXiv:2101.02735 [math.AC] (2021). MSC: 13A30 13C15 14N20 52C35 × Cite Format Result Cite Full Text: arXiv OA License
Wei, Yunlan; Zheng, Yanpeng; Jiang, Zhaolin; Shon, Sugoog Determinants, norms and spreads of skew circulant matrices involving the sum of Pell and Pell-Lucas numbers. (English) Zbl 1499.13022 Adv. Appl. Discrete Math. 23, No. 1, 13-24 (2020). MSC: 13A30 15A15 47A30 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Youngsu; Mukundan, Vivek Equations defining certain graphs. (English) Zbl 1457.13007 Mich. Math. J. 69, No. 4, 675-710 (2020). Reviewer: Andrew Kustin (Columbia) MSC: 13A30 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Lamei, Kamran; Yassemi, Siamak Graded Betti numbers of good filtrations. (English) Zbl 1453.13017 Bull. Korean Math. Soc. 57, No. 5, 1231-1240 (2020). MSC: 13A30 13D02 13D40 13B22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farrahy, Amir Behzad; Nasrollah Nejad, Abbas Hypersurfaces with linear type singular loci. (English) Zbl 1456.13008 J. Algebra Appl. 19, No. 9, Article ID 2050169, 19 p. (2020). Reviewer: Luca Chiantini (Siena) MSC: 13A30 14J70 13H10 14J17 14H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Cruz, Clare; Mandal, Mousumi Symbolic blowup algebras and invariants associated to certain monomial curves in \(\mathbb{P}^3\). (English) Zbl 1456.13007 Commun. Algebra 48, No. 9, 3724-3742 (2020). Reviewer: Peter Schenzel (Halle) MSC: 13A30 13H15 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Capasso, Armando; De Poi, Pietro; Ilardi, Giovanna CW-complex Nagata idealizations. (English) Zbl 1445.13006 Adv. Appl. Math. 120, Article ID 102079, 22 p. (2020). Reviewer: Jorge Neves (Coimbra) MSC: 13A30 05E40 57Q05 13A02 13E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumar, Ajay; Kumar, Rajiv Regularity, Rees algebra, and Betti numbers of certain cover ideals. (English) Zbl 1445.13007 Arch. Math. 115, No. 3, 267-278 (2020). Reviewer: Monica La Barbiera (Messina) MSC: 13A30 13D02 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mafi, Amir; Naderi, Dler On the first generalized Hilbert coefficient and depth of associated graded rings. (English) Zbl 1440.13025 Bull. Korean Math. Soc. 57, No. 2, 407-417 (2020). MSC: 13A30 13D40 13H15 13C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ananthnarayan, H.; Celikbas, Ela; Laxmi, Jai; Yang, Zheng Associated graded rings and connected sums. (English) Zbl 1524.13024 Czech. Math. J. 70, No. 1, 261-279 (2020). MSC: 13A30 13D40 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bagheri, Amir; Lamei, Kamran Graded Betti numbers of powers of ideals. (English) Zbl 1451.13015 J. Commut. Algebra 12, No. 2, 153-169 (2020). Reviewer: Shreedevi K. Masuti (Dharwad) MSC: 13A30 13D02 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
La Barbiera, Monica; Lahyane, M.; Restuccia, G. The Jacobian dual of certain mixed product ideals. (English) Zbl 1439.13016 Algebra Colloq. 27, No. 2, 263-280 (2020). MSC: 13A30 13C15 × Cite Format Result Cite Review PDF Full Text: DOI
Mandal, Mousumi; Nanduri, Ramakrishna Regularity comparison of fiber cone and associated graded ring. (English) Zbl 1505.13006 Beitr. Algebra Geom. 61, No. 2, 219-229 (2020). MSC: 13A30 13C14 13H10 14M05 × Cite Format Result Cite Review PDF Full Text: DOI
Nasrollah Nejad, Abbas; Shahidi, Zahra The Valabrega-Valla module of the Jacobian ideal of points in a projective plane. (English) Zbl 1445.13008 Commun. Algebra 48, No. 5, 2110-2126 (2020). Reviewer: Piotr Pokora (Kraków) MSC: 13A30 13C12 14H20 14N20 14C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Cruz, Clare; Masuti, Shreedevi K. Symbolic blowup algebras and invariants of certain monomial curves in an affine space. (English) Zbl 1439.13015 Commun. Algebra 48, No. 3, 1163-1190 (2020). Reviewer: Kriti Goel (Mumbai) MSC: 13A30 13H15 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Puthenpurakal, Tony J. A sub-functor for \(\operatorname{Ext}\) and Cohen-Macaulay associated graded modules with bounded multiplicity. (English) Zbl 1482.13011 Trans. Am. Math. Soc. 373, No. 4, 2567-2589 (2020). Reviewer: Dipankar Ghosh (Kharagpur) MSC: 13A30 13C14 13D40 13D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sammartano, Alessio Blowup algebras of rational normal scrolls. (English) Zbl 1440.13026 Trans. Am. Math. Soc. 373, No. 2, 797-818 (2020). Reviewer: Andrew Kustin (Columbia) MSC: 13A30 13C40 05E45 13D02 13P10 14M12 14J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Puthenpurakal, Tony J. On asymptotic depth of integral closure filtration and an application. (English) Zbl 1445.13009 J. Algebra 550, 142-153 (2020). MSC: 13A30 13D45 13H10 13H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv