Modules with pure resolutions over Koszul algebras revisited

被引：0

作者：

Cassidy, Thomas ^{[1
]}

机构：

[1] Bucknell Univ, Dept Math, Lewisburg, PA 17837 USA

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2016年 / 15卷 / 02期

关键词：

Koszul algebras; Koszul modules; pure resolution;

D O I：

10.1142/S0219498816500353

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

I construct a Koszul algebra A and a finitely generated graded A-module M that together form a counterexample to a recently published claim. M is generated in degree 0 and has a pure resolution, and the graded Jacobson radical of the Yoneda algebra of A does not annihilate the Ext module of M, but nonetheless M is not a Koszul module.

引用

页数：6

共 50 条

[1] MODULES WITH PURE RESOLUTIONS OVER KOSZUL ALGEBRAS
Lu, Jiafeng
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (05)
[2] Modules with pure resolutions over Koszul algebras (vol 13, 1350159, 2014)
Lu, Jiafeng
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2016, 15 (02)
[3] Resolutions over Koszul algebras
Green, EL
Hartman, G
Marcos, EN
Solberg, O
[J]. ARCHIV DER MATHEMATIK, 2005, 85 (02) : 118 - 127
[4] Resolutions over Koszul algebras
Edward L. Green
Gregory Hartman
Eduardo N. Marcos
Øyvind Solberg
[J]. Archiv der Mathematik, 2005, 85 : 118 - 127
[5] Linear resolutions over Koszul complexes and Koszul homology algebras
Myers, John
[J]. JOURNAL OF ALGEBRA, 2021, 572 : 163 - 194
[6] FREE RESOLUTIONS OVER COMMUTATIVE KOSZUL ALGEBRAS
Avramov, Luchezar L.
Conca, Aldo
Iyengar, Srikanth B.
[J]. MATHEMATICAL RESEARCH LETTERS, 2010, 17 (02) : 197 - 210
[7] On modules with linear presentations over Koszul algebras
Aquino, RM
Green, EL
[J]. COMMUNICATIONS IN ALGEBRA, 2005, 33 (01) : 19 - 36
[8] Koszul duality for modules over Lie algebras
Maszczyk, T
Weber, A
[J]. DUKE MATHEMATICAL JOURNAL, 2002, 112 (03) : 511 - 520
[9] Koszul modules (and the Ω-growth of modules) over short local algebras
Ringel, Claus Michael
Zhang, Pu
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2021, 225 (12)
[10] Co-point modules over Koszul algebras
Mori, Izuru
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2006, 74 : 639 - 656

← 1 2 3 4 5 →