Juhnke, Martina; Miró-Roig, Rosa M. List of problems. (English) Zbl 07951374 Nagel, Uwe (ed.) et al., Lefschetz properties. Current and new directions. Based on the presentations at the meeting on strong and weak Lefschetz properties, Cortona, Italy, September 12–16, 2022. Singapore: Springer. Springer INdAM Ser. 59, 211-225 (2024). MSC: 13D40 13D02 00A27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Altafi, Nasrin; Iarrobino, Anthony; Marques, Pedro Macias Jordan type of an Artinian algebra, a survey. (English) Zbl 07951362 Nagel, Uwe (ed.) et al., Lefschetz properties. Current and new directions. Based on the presentations at the meeting on strong and weak Lefschetz properties, Cortona, Italy, September 12–16, 2022. Singapore: Springer. Springer INdAM Ser. 59, 1-27 (2024). Reviewer: Luca Amata (Messina) MSC: 13D40 13D02 13H10 13E10 13M05 14B07 14C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mao, X.-F.; Wang, X.-T.; Yang, Y.-N.; Zhang, M.-Y. Homological properties of \(3\)-dimensional DG Sklyanin algebras. (English) Zbl 07943155 J. Algebra Appl. 23, No. 13, Article ID 2450230, 35 p. (2024). MSC: 16E45 16E65 16W20 16W50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abdallah, Nancy A note on Artin Gorenstein algebras with Hilbert function \((1,4,k,k,4,1)\). (English) Zbl 07936196 Iarrobino, Anthony (ed.) et al., Deformation of Artinian algebras and Jordan type. AMS-EMS-SMF special session, Université Grenoble Alpes, Grenoble, France, July 18–22, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 805, 57-66 (2024). MSC: 13E10 13F55 13D40 13C13 13D02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bricalli, Davide; Francesco Favale, Filippo; Pietro Pirola, Gian On the Hessian of cubic hypersurfaces. (English) Zbl 07931937 Int. Math. Res. Not. 2024, No. 10, 8672-8694 (2024). Reviewer: Alexander Kovačec (Coimbra) MSC: 14J70 14J17 14J30 14J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nagaoka, Takahiro; Wachi, Akihito The strong Lefschetz property of Gorenstein algebras generated by relative invariants. (English) Zbl 07892849 Proc. Am. Math. Soc. 152, No. 9, 3635-3646 (2024). Reviewer: Anda-Georgina Olteanu (Constanţa) MSC: 13E10 11S90 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kustin, Andrew R. The weak Lefschetz property for standard graded, Artinian Gorenstein algebras of embedding dimension four and socle degree three. (English) Zbl 1541.13014 J. Algebra 650, 80-122 (2024). Reviewer: Moshe Roitman (Haifa) MSC: 13C40 13D02 13H10 13E10 13A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miró-Roig, Rosa M.; Pérez, Josep Perazzo hypersurfaces and the weak Lefschetz property. (English) Zbl 1539.13049 J. Algebra 646, 357-375 (2024). Reviewer: Scott Nollet (Fort Worth) MSC: 13E10 13D40 14M05 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abdallah, Nancy; Schenck, Hal Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four. (English) Zbl 1524.13065 J. Symb. Comput. 121, Article ID 102257, 13 p. (2024). Reviewer: Jorge Sentiero Neves (Coimbra) MSC: 13E10 13D02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marangone, Emanuela Some notes and corrections of the paper “The non-Lefschetz locus”. (English) Zbl 1525.14058 J. Algebra 631, 106-119 (2023). Reviewer: Andrew Kustin (Columbia) MSC: 14M06 14M10 13E10 13H10 13C40 13D40 13A02 × Cite Format Result Cite Review PDF Full Text: DOI
Tsuchiya, Akiyoshi Cayley sums and Minkowski sums of lattice polytopes. (English) Zbl 1518.52006 SIAM J. Discrete Math. 37, No. 2, 1348-1357 (2023). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52B20 05B40 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marangone, Emanuela The non-Lefschetz locus of vector bundles of rank 2 over \(\mathbb{P}^2\). (English) Zbl 1544.13025 J. Algebra 630, 297-316 (2023). MSC: 13E10 13F20 14J60 13D02 13H10 13C40 13A02 14F06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abdallah, Nancy; Altafi, Nasrin; Iarrobino, Anthony; Seceleanu, Alexandra; Yaméogo, Joachim Lefschetz properties of some codimension three Artinian Gorenstein algebras. (English) Zbl 1510.13008 J. Algebra 625, 28-45 (2023). Reviewer: Siamak Yassemi (Tehran) MSC: 13E10 13D40 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Khoury, Sabine; Kustin, Andrew R. Quadratically presented grade three Gorenstein ideals. (English) Zbl 1512.13008 J. Algebra 622, 258-290 (2023). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13C40 13D02 13H10 13E10 13A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Nan; Ma, Jing; Zhang, Juxia Canonical comultiplication and double centraliser property. (English) Zbl 1508.16016 Taiwanese J. Math. 27, No. 1, 39-52 (2023). MSC: 16E65 16D20 16E10 16G10 13H10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Mastroeni, Matthew; Schenck, Hal; Stillman, Mike Quadratic Gorenstein rings and the Koszul property. II. (English) Zbl 1508.13014 Int. Math. Res. Not. 2023, No. 2, 1461-1482 (2023). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13D02 14H45 14H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iarrobino, Anthony; Macias Marques, Pedro; McDaniel, Chris Artinian Gorenstein algebras that are free extensions over \(k[t]/(t^n)\), and Macaulay duality. (English) Zbl 1509.13025 J. Commut. Algebra 14, No. 4, 553-569 (2022). Reviewer: Alessandro Gimigliano (Bologna) MSC: 13E10 13A50 13D40 13H10 14D06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Iarrobino, Anthony; Macias Marques, Pedro; McDaniel, Chris Artinian algebras and Jordan type. (English) Zbl 1509.13024 J. Commut. Algebra 14, No. 3, 365-414 (2022). Reviewer: Alessandro Gimigliano (Bologna) MSC: 13E10 13D40 13H10 14B07 14C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Aihara, Takuma; Chan, Aaron; Honma, Takahiro On the weakly Iwanaga-Gorenstein property of gendo algebras. (English) Zbl 1500.16014 Proceedings of the 53rd symposium on ring theory and representation theory, Japan, online, September 6–9, 2021. Shizuoka: Symposium on Ring Theory and Representation Theory Organizing Committee. 187-189 (2022). MSC: 16E65 16G60 × Cite Format Result Cite Review PDF
Hanihara, Norihiro; Iyama, Osamu The structure of Adams graded dg algebras and Cohen-Macaulay representations. (English) Zbl 1498.16017 Proceedings of the 53rd symposium on ring theory and representation theory, Japan, online, September 6–9, 2021. Shizuoka: Symposium on Ring Theory and Representation Theory Organizing Committee. 75-79 (2022). MSC: 16G10 16G50 16W50 16E65 × Cite Format Result Cite Review PDF
Kimura, K.; Pournaki, M. R.; Terai, N.; Yassemi, S. Very well-covered graphs and local cohomology of their residue rings by the edge ideals. (English) Zbl 1491.13030 J. Algebra 606, 1-18 (2022). Reviewer: Jorge Neves (Coimbra) MSC: 13F55 13H10 05C75 13D45 05C90 55U10 × Cite Format Result Cite Review PDF Full Text: DOI
Kimura, K.; Pournaki, M. R.; Seyed Fakhari, S. A.; Terai, N.; Yassemi, S. A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra. (English) Zbl 1535.13036 Res. Math. Sci. 9, No. 2, Paper No. 29, 18 p. (2022). MSC: 13F55 05C70 05C69 05E40 05C75 13D45 13H10 55U10 13-02 × Cite Format Result Cite Review PDF Full Text: DOI
Boij, Mats; Migliore, Juan; Miró-Roig, Rosa M.; Nagel, Uwe Waring and cactus ranks and strong Lefschetz property for annihilators of symmetric forms. (English) Zbl 1490.13013 Algebra Number Theory 16, No. 1, 155-178 (2022). Reviewer: Justyna Szpond (Kraków) MSC: 13B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gasanova, Oleksandra; Lundqvist, Samuel; Nicklasson, Lisa On decomposing monomial algebras with the Lefschetz properties. (English) Zbl 1479.13021 J. Pure Appl. Algebra 226, No. 6, Article ID 106968, 15 p. (2022). Reviewer: Jorge Neves (Coimbra) MSC: 13E10 13H10 13C40 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Altafi, Nasrin Hilbert functions of Artinian Gorenstein algebras with the strong Lefschetz property. (English) Zbl 1492.13022 Proc. Am. Math. Soc. 150, No. 2, 499-513 (2022). Reviewer: Shreedevi K. Masuti (Dharwad) MSC: 13E10 13D40 13H10 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kustin, Andrew R.; R. G., Rebecca; Vraciu, Adela The resolution of \((x^N,y^N,z^N,w^N)\). (English) Zbl 1477.13031 J. Algebra 590, 338-393 (2022). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13D02 13C40 13H10 13A02 × Cite Format Result Cite Review PDF Full Text: DOI
Iarrobino, Anthony; McDaniel, Chris; Seceleanu, Alexandra Connected sums of graded Artinian Gorenstein algebras and Lefschetz properties. (English) Zbl 1472.13041 J. Pure Appl. Algebra 226, No. 1, Article ID 106787, 52 p. (2022). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13H10 13E10 14D06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yazawa, Akiko The eigenvalues of the Hessian matrices of the generating functions for trees with \(k\) components. (English) Zbl 1476.05129 Linear Algebra Appl. 631, 48-66 (2021). MSC: 05C50 05A15 05C31 05C05 05B35 13E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Yasmeen, Saba; Wu, Tongsuo Vertex decomposable property of graphs whose complements are \(r\)-partite. (English) Zbl 1474.05392 J. Math. Res. Appl. 41, No. 1, 14-24 (2021). MSC: 05E45 05E40 13H10 × Cite Format Result Cite Review PDF Full Text: DOI
Nagaoka, Takahiro; Yazawa, Akiko Strict log-concavity of the Kirchhoff polynomial and its applications to the strong Lefschetz property. (English) Zbl 1460.05091 J. Algebra 577, 175-202 (2021). MSC: 05C31 11S90 05B35 13E10 13H10 52B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fassarella, Thiago; Ferrer, Viviana; Gondim, Rodrigo Developable cubics in \(\mathbb{P}^4\) and the Lefschetz locus in \(\operatorname{GOR}(1, 5, 5, 1)\). (English) Zbl 1469.14027 J. Algebra 573, 123-147 (2021). Reviewer: Emilia Mezzetti (Trieste) MSC: 14E05 16E65 14C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
McDaniel, Chris; Chen, Shujian; Iarrobino, Anthony; Macias Marques, Pedro Free extensions and Lefschetz properties, with an application to rings of relative coinvariants. (English) Zbl 1461.13024 Linear Multilinear Algebra 69, No. 2, 305-330 (2021). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13E10 13A50 13D40 13H10 14C05 14L35 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huerta, Mindy; Mendoza, Octavio; Pérez, Marco A. \(n\)-cotorsion pairs. (English) Zbl 1470.18018 J. Pure Appl. Algebra 225, No. 5, Article ID 106556, 35 p. (2021). Reviewer: Septimiu Crivei (Cluj-Napoca) MSC: 18G25 18G10 18G20 18G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruns, Winfried; García-Sánchez, Pedro A.; Moci, Luca The monoid of monotone functions on a poset and quasi-arithmetic multiplicities for uniform matroids. (English) Zbl 1477.06002 J. Algebra 569, 377-400 (2021). Reviewer: Wei Yao (Nanjing) MSC: 06A06 06A07 05B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kreuzer, Martin; Long, Le Ngoc; Robbiano, Lorenzo Computing subschemes of the border basis scheme. (English) Zbl 1457.13026 Int. J. Algebra Comput. 30, No. 8, 1671-1716 (2020). Reviewer: Francesca Cioffi (Napoli) MSC: 13C40 14M10 13H10 14C05 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aihara, Taikuma; Chan, Aaron; Honma, Taikahiro On the weakly Iwanaga-Gorenstein property of gendo algebras. (English) Zbl 1452.16011 Sato, Masahisa (ed.), Proceedings of the 52nd symposium on ring theory and representation theory, Nagoya University, Japan, August 26–31, 2019. Shizuoka: Symposium on Ring Theory and Representation Theory Organizing Committee. 130-132 (2020). MSC: 16E65 16G60 × Cite Format Result Cite Review PDF
Hanihara, Norihiro Cohen-Macaulay modules over Yoneda algebras. (English) Zbl 1452.16019 Sato, Masahisa (ed.), Proceedings of the 52nd symposium on ring theory and representation theory, Nagoya University, Japan, August 26–31, 2019. Shizuoka: Symposium on Ring Theory and Representation Theory Organizing Committee. 18-20 (2020). MSC: 16G60 16E60 13C60 × Cite Format Result Cite Review PDF
Ohsugi, Hidefumi; Tsuchiya, Akiyoshi Nef-partitions arising from unimodular configurations. (English) Zbl 1469.52013 Math. Nachr. 293, No. 9, 1791-1800 (2020). MSC: 52B20 05A15 13P10 52B12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kohl, Florian; Olsen, McCabe Level algebras and \(\boldsymbol{s}\)-lecture hall polytopes. (English) Zbl 1448.51013 Electron. J. Comb. 27, No. 3, Research Paper P3.50, 23 p. (2020). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51M20 52B20 05A17 13H10 13P99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nagaoka, Takahiro; Yazawa, Akiko Strict log-concavity of the Kirchhoff polynomial and its applications. (English) Zbl 1447.05051 Sémin. Lothar. Comb. 84B, Article 38, 12 p. (2020). MSC: 05B35 52B40 13E10 13H10 × Cite Format Result Cite Review PDF Full Text: Link
Miró-Roig, Rosa M.; Tran, Quang Hoa The weak Lefschetz property of Gorenstein algebras of codimension three associated to the Apéry sets. (English) Zbl 1453.13059 Linear Algebra Appl. 604, 346-369 (2020). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13E10 13H10 13A30 13C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miró-Roig, Rosa M.; Tran, Quang Hoa The weak Lefschetz property for Artinian Gorenstein algebras of codimension three. (English) Zbl 1437.13028 J. Pure Appl. Algebra 224, No. 7, Article ID 106305, 29 p. (2020). Reviewer: Siamak Yassemi (Tehran) MSC: 13E10 13H10 13A30 13C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iarrobino, Anthony; Macias Marques, Pedro; McDaniel, Chris Free extensions and Jordan type. (English) Zbl 1461.13023 J. Algebra 549, 346-364 (2020). MSC: 13E10 13A50 13D40 13H10 14B07 14C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, G.-S.; Shen, Y.; Lu, D.-M. Skew Calabi-Yau property of normal extensions. (English) Zbl 1471.14008 Manuscr. Math. 161, No. 1-2, 125-140 (2020). Reviewer: Jason Gaddis (Oxford) MSC: 14A22 16E65 16W50 16S20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Costa, Barbara; Gondim, Rodrigo The Jordan type of graded Artinian Gorenstein algebras. (English) Zbl 1441.13045 Adv. Appl. Math. 111, Article ID 101941, 27 p. (2019). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13E10 13D40 13H10 14M07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bao, Yanhong; He, Jiwei; Zhang, James J. Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras. (English) Zbl 1422.16004 J. Noncommut. Geom. 13, No. 2, 667-710 (2019). MSC: 16D90 16E65 16E10 16B50 16E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pitones, Yuriko; Reyes, Enrique; Toledo, Jonathan Monomial ideals of weighted oriented graphs. (English) Zbl 1419.05099 Electron. J. Comb. 26, No. 3, Research Paper P3.44, 18 p. (2019). MSC: 05C22 05C25 05E40 13F20 13H10 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Zhou, G.-S.; Shen, Y.; Lu, D.-M. Behavior of the Auslander condition with respect to regradings. (English) Zbl 1448.16013 J. Algebra Appl. 18, No. 9, Article ID 1950168, 31 p. (2019). MSC: 16E65 16E10 16W50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gondim, Rodrigo; Zappalà, Giuseppe On mixed Hessians and the Lefschetz properties. (English) Zbl 1423.13009 J. Pure Appl. Algebra 223, No. 10, 4268-4282 (2019). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13A02 05E40 13D40 13E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mao, Xuefeng; Gao, Xudong; Yang, Yanni; Chen, Jiahong DG polynomial algebras and their homological properties. (English) Zbl 1458.16010 Sci. China, Math. 62, No. 4, 629-648 (2019). MSC: 16E45 16E65 16W20 16W50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andrei, Claudia; Ene, Viviana; Lajmiri, Bahareh Powers of \(t\)-spread principal Borel ideals. (English) Zbl 1455.13040 Arch. Math. 112, No. 6, 587-597 (2019). Reviewer: Francesco Strazzanti (Catania) MSC: 13H10 13D02 05E40 13F55 13C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nasseh, Saeed; Seceleanu, Alexandra; Watanabe, Junzo Determinants of incidence and Hessian matrices arising from the vector space lattice. (English) Zbl 1407.05039 J. Commut. Algebra 11, No. 1, 131-154 (2019). MSC: 05B20 05B25 51D25 13A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid Link
Hibi, Takayuki; Olsen, McCabe; Tsuchiya, Akiyoshi Gorenstein properties and integer decomposition properties of lecture hall polytopes. (English) Zbl 1427.13040 Mosc. Math. J. 18, No. 4, 667-679 (2018). Reviewer: Chudamani Pranesachar Anil Kumar (Chennai) MSC: 13P20 05A20 05E40 52B20 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Itaba, Ayako; Onozuka, Ryo; Eccles, James The defining relations and the Calabi-Yau property of 3-dimensional quadratic AS-regular algebras. (English) Zbl 1409.16005 Sanada, Katsunori (ed.), Proceedings of the 50th symposium on ring theory and representation theory, University of Yamanashi, Yamanashi, Japan, October 7–10, 2017. Yamanashi: Symposium on Ring Theory and Representation Theory Organizing Committee. 62-69 (2018). MSC: 16E65 16E50 × Cite Format Result Cite Review PDF
Bao, Y.-H.; He, J.-W.; Zhang, J. J. Noncommutative Auslander theorem. (English) Zbl 1432.16011 Trans. Am. Math. Soc. 370, No. 12, 8613-8638 (2018). MSC: 16E65 16S50 16E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nagaoka, Takahiro; Tsuchiya, Akiyoshi Reflexive polytopes arising from edge polytopes. (English) Zbl 1401.52021 Linear Algebra Appl. 557, 438-454 (2018). MSC: 52B12 52B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Braun, Benjamin; Davis, Robert; Solus, Liam Detecting the integer decomposition property and Ehrhart unimodality in reflexive simplices. (English) Zbl 1396.52020 Adv. Appl. Math. 100, 122-142 (2018). MSC: 52B20 05E40 05A20 05A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boij, Mats; Migliore, Juan; Miró-Roig, Rosa M.; Nagel, Uwe The non-Lefschetz locus. (English) Zbl 1393.13036 J. Algebra 505, 288-320 (2018). Reviewer: Andrew Kustin (Columbia) MSC: 13E10 13H10 13C40 13D40 13A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shultis, Katharine Systems of parameters and the Cohen-Macaulay property. (English) Zbl 1401.13028 J. Commut. Algebra 10, No. 1, 139-151 (2018). Reviewer: Andrew Kustin (Columbia) MSC: 13C05 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Gondim, Rodrigo; Zappalà, Giuseppe Lefschetz properties for Artinian Gorenstein algebras presented by quadrics. (English) Zbl 1409.13002 Proc. Am. Math. Soc. 146, No. 3, 993-1003 (2018). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13A02 05E40 13D40 13E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boij, Mats; Fröberg, Ralf; Lundqvist, Samuel Powers of generic ideals and the weak Lefschetz property for powers of some monomial complete intersections. (English) Zbl 1386.13047 J. Algebra 495, 1-14 (2018). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13D40 13A02 13E10 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ahn, Jeaman; Migliore, Juan C.; Shin, Yong-Su Green’s theorem and Gorenstein sequences. (English) Zbl 1390.13048 J. Pure Appl. Algebra 222, No. 2, 387-413 (2018). Reviewer: Peter Schenzel (Halle) MSC: 13D40 13H10 14C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Christensen, Lars Winther; Estrada, Sergio; Iacob, Alina A Zariski-local notion of F-total acyclicity for complexes of sheaves. (English) Zbl 1423.18047 Quaest. Math. 40, No. 2, 197-214 (2017). MSC: 18F20 18G25 18G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ragusa, Alfio Algebras with the weak Lefschetz property. (English) Zbl 1407.13018 Conca, Aldo (ed.) et al., Homological and computational methods in commutative algebra. Dedicated to Winfried Bruns on the occasion of his 70th birthday. Proceedings of the INdAM conference, Cortona, Italy, May 30 – June 3, 2016. Cham: Springer. Springer INdAM Ser. 20, 199-222 (2017). MSC: 13D40 13E10 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Yanzhong; Yang, Xiaoyan Gorenstein \(AC\)-projective modules with respect to a semidualizing module. (Chinese. English summary) Zbl 1399.16017 J. Shandong Univ., Nat. Sci. 52, No. 10, 31-35, 41 (2017). MSC: 16D40 16E65 × Cite Format Result Cite Review PDF Full Text: DOI
Asadollahi, J.; Hafezi, R.; Keshavarz, M. H. Minimal injective resolutions and Auslander-Gorenstein property for path algebras. (English) Zbl 1387.16013 Commun. Algebra 45, No. 6, 2557-2568 (2017). MSC: 16G70 16G20 18G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maeno, Toshiaki; Numata, Yasuhide Sperner property and finite-dimensional Gorenstein algebras associated to matroids. (English) Zbl 1360.13048 J. Commut. Algebra 8, No. 4, 549-570 (2016). Reviewer: Janet Vassilev (Albuquerque) MSC: 13E10 05B35 06A11 13H10 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Ceken, S.; Palmieri, J. H.; Wang, Y.-H.; Zhang, J. J. Invariant theory for quantum Weyl algebras under finite group action. (English) Zbl 1372.16044 Misra, Kailash C. (ed.) et al., Lie algebras, Lie superalgebras, vertex algebras and related topics. 2012–2014 Southeastern Lie theory workshop series: Categorification of quantum groups and representation theory, North Carolina State University, Raleigh, NC, USA, April 21–22, 2012. Lie algebras, vertex algebras, integrable systems and applications, College of Charleston, Charleston, SC, USA, December 16–18, 2012. Noncommutative algebraic geometry and representation theory, Louisiana State University, Baton Rouge, LA, USA, May 10–12, 2013. Representation theory of Lie algebras and superalgebras, University of Georgia, Athens, GA, USA, May 16–17, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1844-1/hbk; 978-1-4704-3013-9/ebook). Proceedings of Symposia in Pure Mathematics 92, 119-134 (2016). MSC: 16W22 16E65 16S38 × Cite Format Result Cite Review PDF Full Text: arXiv
Etingof, Pavel; Rains, Eric [Feigin, Misha] On Cohen-Macaulayness of algebras generated by generalized power sums. With an appendix by Misha Feigin. (English) Zbl 1357.13016 Commun. Math. Phys. 347, No. 1, 163-182 (2016). Reviewer: Marek Golasiński (Olsztyn) MSC: 13C14 14M05 16E65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cook, David II; Migliore, Juan; Nagel, Uwe; Zanello, Fabrizio An algebraic approach to finite projective planes. (English) Zbl 1339.05437 J. Algebr. Comb. 43, No. 3, 495-519 (2016). MSC: 05E40 05B25 13D02 13E10 13H10 51E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Nan; Koenig, Steffen Double centraliser property and morphism categories. (English) Zbl 1378.16017 Proc. Am. Math. Soc. 144, No. 3, 971-981 (2016). MSC: 16E65 18E05 16D90 × Cite Format Result Cite Review PDF Full Text: DOI
El Khoury, Sabine; Kustin, Andrew R. The structure of Gorenstein-linear resolutions of Artinian algebras. (English) Zbl 1386.13036 J. Algebra 453, 492-560 (2016). MSC: 13D02 13E10 13H10 13A02 20G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ionescu, Cristodor More properties of almost Cohen-Macaulay rings. (English) Zbl 1332.13012 J. Commut. Algebra 7, No. 3, 363-372 (2015). Reviewer: Sabine El Khoury (Beirut) MSC: 13C14 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Moyano-Fernández, Julio José Fractional ideals and integration with respect to the generalised Euler characteristic. (English) Zbl 1321.14026 Monatsh. Math. 176, No. 3, 459-479 (2015). Reviewer: Karl-Heinz Kiyek (Paderborn) MSC: 14H20 14G10 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Wake, Preston Hecke algebras associated to \(\Lambda\)-adic modular forms. (English) Zbl 1325.11116 J. Reine Angew. Math. 700, 113-128 (2015). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 11F11 20C08 11F27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Nan; Koenig, Steffen Grade, dominant dimension and Gorenstein algebras. (English) Zbl 1436.16011 J. Algebra 427, 118-141 (2015). MSC: 16E65 16E10 × Cite Format Result Cite Review PDF Full Text: DOI
Pastine, Adrián; Zanello, Fabrizio Two unfortunate properties of pure \(f\)-vectors. (English) Zbl 1306.05258 Proc. Am. Math. Soc. 143, No. 3, 955-964 (2015). MSC: 05E40 13F55 05E45 05B07 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dubois-Violette, Michel Poincaré duality for Koszul algebras. (English) Zbl 1321.16016 Makhlouf, Abdenacer (ed.) et al., Algebra, geometry and mathematical physics. AGMP, Mulhouse, France, October 24-26, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-55360-8/hbk; 978-3-642-55361-5/ebook). Springer Proceedings in Mathematics & Statistics 85, 3-26 (2014). MSC: 16S37 16E65 17B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ahn, Jeaman; Park, Jung Pil; Shin, Yong Su An Artinian quotient of the coordinate ring of a complete intersection in \(\mathbb{P}^n\) having the weak Lefschetz property. (English) Zbl 1304.13001 Commun. Algebra 42, No. 9, 4002-4020 (2014). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13A02 16W50 × Cite Format Result Cite Review PDF Full Text: DOI
Boij, Mats; Migliore, Juan; Miró-Roig, Rosa M.; Nagel, Uwe; Zanello, Fabrizio On the weak Lefschetz property for artinian Gorenstein algebras of codimension three. (English) Zbl 1327.13061 J. Algebra 403, 48-68 (2014). Reviewer: Alessandro De Stefani (Charlottesville) MSC: 13E10 13H10 13D40 14A10 14G17 14N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Favacchio, Giuseppe; Ragusa, Alfio; Zappalà, Giuseppe Linear quotients of Artinian Weak Lefschetz algebras. (English) Zbl 1283.13012 J. Pure Appl. Algebra 217, No. 10, 1955-1966 (2013). Reviewer: Alessandro De Stefani (Charlottesville) MSC: 13D40 13H10 × Cite Format Result Cite Review PDF Full Text: DOI
Ragusa, Alfio; Zappalá, Giuseppe On the weak-Lefschetz property for Artinian Gorenstein algebras. (English) Zbl 1281.13010 Rend. Circ. Mat. Palermo (2) 62, No. 2, 199-206 (2013). Reviewer: Sabine El Khoury (Beirut) MSC: 13D40 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hà, Huy Tài; Stokes, Erik; Zanello, Fabrizio Pure \(O\)-sequences and matroid \(h\)-vectors. (English) Zbl 1272.05020 Ann. Comb. 17, No. 3, 495-508 (2013). MSC: 05B35 05E45 05E40 13H10 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cortadellas Benítez, Teresa; Jafari, Raheleh; Zarzuela Armengou, Santiago On the Apéry sets of monomial curves. (English) Zbl 1282.13043 Semigroup Forum 86, No. 2, 289-320 (2013). Reviewer: Jürgen Müller (Aachen) MSC: 13H10 13A30 13P10 20M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Harima, Tadahito; Maeno, Toshiaki; Morita, Hideaki; Numata, Yasuhide; Wachi, Akihito; Watanabe, Junzo The Lefschetz properties. (English) Zbl 1284.13001 Lecture Notes in Mathematics 2080. Berlin: Springer (ISBN 978-3-642-38205-5/pbk; 978-3-642-38206-2/ebook). xix, 250 p. (2013). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13-02 13A02 13A50 06A07 06A11 14M15 14F99 14M10 14L30 17B10 × Cite Format Result Cite Review PDF Full Text: DOI
Boij, Mats; Migliore, Juan C.; Miró-Roig, Rosa M.; Nagel, Uwe; Zanello, Fabrizio On the shape of a pure \(O\)-sequence. (English) Zbl 1312.13001 Mem. Am. Math. Soc. 1024, vii, 78 p. (2012). MSC: 13-02 13D40 05E40 06A07 13E10 13H10 05A16 05B35 14M05 13F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Chonghui; Wang, Hengtai Modules admitting Auslander \(n\)-Gorenstein property. (English) Zbl 1274.16018 J. Anhui Norm. Univ., Nat. Sci. 35, No. 4, 318-321 (2012). MSC: 16E65 16E10 16D40 16G10 × Cite Format Result Cite Review PDF
Kustin, Andrew R.; Rahmati, Hamidreza; Vraciu, Adela The resolution of the bracket powers of the maximal ideal in a diagonal hypersurface ring. (English) Zbl 1275.13003 J. Algebra 369, 256-321 (2012). Reviewer: Alessandro De Stefani (Charlottesville) MSC: 13A35 13D02 13H10 13C40 13E10 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mao, Xuefeng; Wu, Quanshui Gorenstein properties of connected DG algebras. (Chinese. English summary) Zbl 1224.16027 Chin. Ann. Math., Ser. A 31, No. 4, 507-516 (2010). MSC: 16E45 16E10 16S37 × Cite Format Result Cite Review PDF
He, Ji-Wei; Van Oystaeyen, Fred; Zhang, Yinhuo Cocommutative Calabi-Yau Hopf algebras and deformations. (English) Zbl 1213.16026 J. Algebra 324, No. 8, 1921-1939 (2010). Reviewer: Earl J. Taft (New Brunswick) MSC: 16T05 17B35 16S35 16E65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Boij, Mats; Zanello, Fabrizio Some algebraic consequences of Green’s hyperplane restriction theorems. (English) Zbl 1197.13018 J. Pure Appl. Algebra 214, No. 7, 1263-1270 (2010). Reviewer: Paola Bonacini (Catania) MSC: 13E10 13H10 13D40 14C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dupont, Luis A.; Villarreal, Rafael H.; Reyes, Enrique Cohen-Macaulay clutters with combinatorial optimization properties and parallelizations of normal edge ideals. (English) Zbl 1243.13020 São Paulo J. Math. Sci. 3, No. 1, 61-75 (2009). MSC: 13F55 13H10 13F20 52B20 90C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maeno, Toshiaki; Watanabe, Junzo Lefschetz elements of Artinian Gorenstein algebras and hessians of homogeneous polynomials. (English) Zbl 1200.13031 Ill. J. Math. 53, No. 2, 591-603 (2009). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13E10 13H10 × Cite Format Result Cite Review PDF Full Text: arXiv Euclid
Ahn, Jeaman; Geramita, Anthony V.; Shin, Yong Su The Gotzmann coefficients of Hilbert functions. (English) Zbl 1177.13034 J. Algebra 321, No. 9, 2604-2636 (2009). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13D40 14M05 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brennan, Joseph P.; Dupont, Luis A.; Villarreal, Rafael H. Duality, \(a\)-invariants and canonical modules of rings arising from linear optimization problems. (English) Zbl 1199.13026 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 51(99), No. 4, 279-305 (2008). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13H10 13F20 13B22 52B20 × Cite Format Result Cite Review PDF Full Text: arXiv
Kilford, L. J. P.; Wiese, Gabor On the failure of the Gorenstein property for Hecke algebras of prime weight. (English) Zbl 1206.11070 Exp. Math. 17, No. 1, 37-52 (2008). MSC: 11F80 11F33 11F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid Link
Lu, Di Ming; Palmieri, John H.; Wu, Quan Shui; Zhang, James J. Koszul equivalences in \(A_\infty\)-algebras. (English) Zbl 1191.16011 New York J. Math. 14, 325-378 (2008). MSC: 16E45 16S37 16E65 16E35 16E30 16W50 × Cite Format Result Cite Review PDF Full Text: arXiv EuDML EMIS
Huang, Zhaoyong Approximation presentations of modules and homological conjectures. (English) Zbl 1143.16010 Commun. Algebra 36, No. 2, 546-563 (2008). Reviewer: Henrik Holm (Copenhagen) MSC: 16E10 16E30 16E65 16P20 16G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dubois-Violette, Michel Multilinear forms and graded algebras. (English) Zbl 1141.17010 J. Algebra 317, No. 1, 198-225 (2007). Reviewer: Sonia Natale (Cordoba) MSC: 17B37 16W50 16S37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv