几类具有非纯分解的Koszul型代数
发布时间：2018-12-15 22:08
【摘要】：本文是对具有非纯分解的Koszul-型代数的继续研究.具体地,我们引入了三类新的非纯Koszul-型代数：广义双Koszul代数,(a, b, c, d)-Koszul代数和广义离散Koszul代数.针对每一类代数研究了其Yoneda代数的结构与性质,给出了它们的若干等价刻画.相关结果的取得,进一步丰富了Koszul理论.
[Abstract]:In this paper, we continue to study Koszul- type algebras with nonpure decomposition. Specifically, we introduce three new classes of nonpure Koszul- type algebras: generalized double Koszul algebras, (a, b, c, d)-Koszul algebras and generalized discrete Koszul algebras. In this paper, we study the structure and properties of Yoneda algebras for each class of algebras, and give some equivalent characterizations of them. The obtained results further enrich the Koszul theory.
【学位授予单位】：浙江师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O153
本文编号：2381360
[Abstract]:In this paper, we continue to study Koszul- type algebras with nonpure decomposition. Specifically, we introduce three new classes of nonpure Koszul- type algebras: generalized double Koszul algebras, (a, b, c, d)-Koszul algebras and generalized discrete Koszul algebras. In this paper, we study the structure and properties of Yoneda algebras for each class of algebras, and give some equivalent characterizations of them. The obtained results further enrich the Koszul theory.
【学位授予单位】：浙江师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O153
【参考文献】
相关期刊论文 前1条
1 ;(s,t,d)-bi-Koszul algebras[J];Science in China(Series A:Mathematics);2009年11期
，本文编号：2381360
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