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Koszul property of a class of graded algebras with nonpure resolutions |
Jiafeng LÜ( ),Junling ZHENG |
| Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China |
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Abstract Given any integers a, b, c, and d with a>1, c≥0, b≥a + c, and d≥b + c, the notion of (a, b, c, d)-Koszul algebra is introduced, which is another class of standard graded algebras with “nonpure” resolutions, and includes many Artin-Schelter regular algebras of low global dimension as specific examples. Some basic properties of (a, b, c, d)-Koszul algebras/modules are given, and several criteria for a standard graded algebra to be (a, b, c, d)- Koszul are provided.
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Koszul algebras
d-Koszul algebras
Artin-Schelter regular algebras
(abcd)-Koszul algebras
Yoneda algebras
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Corresponding Author(s):
Jiafeng LÜ
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Issue Date: 30 August 2016
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