THE YONEDA ALGEBRA OF A K2 ALGEBRA NEED NOT BE ANOTHER K2 ALGEBRA

被引：2
|
作者：
Cassidy, Thomas [1 ]
Phan, Christopher [2 ]
Shelton, Brad [2 ]
机构：
[1] Bucknell Univ, Dept Math, Lewisburg, PA 17837 USA
[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA
来源：
COMMUNICATIONS IN ALGEBRA | 2010年 / 38卷 / 01期
关键词：
Graded algebra; Koszul algebra; Yoneda algebra;
D O I：
10.1080/00927870902829148
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Yoneda algebra of a Koszul algebra or a D-Koszul algebra is Koszul. K-2 algebras are a natural generalization of Koszul algebras, and one would hope that the Yoneda algebra of a K-2 algebra would be another K-2 algebra. We show that this is not necessarily the case by constructing a monomial K-2 algebra for which the corresponding Yoneda algebra is not K-2.
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页码：46 / 48
页数：3
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