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- Title
Koszul property of a class of graded algebras with nonpure resolutions.
- Authors
Lü, Jiafeng; Zheng, Junling
- 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.
- Subjects
KOSZUL algebras; GRADED modules; ARTIN algebras; PROJECTIVE modules (Algebra); INTEGERS
- Publication
Frontiers of Mathematics in China, 2016, Vol 11, Issue 4, p985
- ISSN
1673-3452
- Publication type
Article
- DOI
10.1007/s11464-016-0566-3