Frontiers of Mathematics in China >
Koszul property of a class of graded algebras with nonpure resolutions
Received date: 21 Jul 2015
Accepted date: 28 Jan 2016
Published date: 30 Aug 2016
Copyright
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.
Jiafeng LÜ , Junling ZHENG . Koszul property of a class of graded algebras with nonpure resolutions[J]. Frontiers of Mathematics in China, 2016 , 11(4) : 985 -1002 . DOI: 10.1007/s11464-016-0566-3
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