NONPURE PIECEWISE-KOSZUL ALGEBRAS

作者：Lu Jia Feng^*

来源：Indian Journal of Pure and Applied Mathematics, 2012, 43(1): 1-23.

• Koszul algebras and modules
• (nonpure) piecewise-Koszul algebras and modules

In this paper, the notions of non pure piecewise-Koszul algebra and non pure piecewise-Koszul module are introduced, which are the "nonpure" version of piecewise-Koszul algebras and modules first introduced in [19]. Some criteria for a standard graded algebra to be nonpure piecewise-Koszul are given. We also discuss some basic properties or nonpure piecewise-Koszul modules. Further more, we give a sufficient condition for the questions raised in [20] to be true in terms of nonpure piecewise-Koszul modules.

• 出版日期2012-2
• 单位浙江师范大学