对偶扩张代数的特征模的广义Betti数

J4 ›› 2011, Vol. 46 ›› Issue (6): 29-33.

对偶扩张代数的特征模的广义Betti数

汤国明1，曾妮1，张跃辉2

1.天津职业技术师范大学理学院, 天津 300222; 2.上海交通大学数学系, 上海 200240

收稿日期:2010-06-28 出版日期:2011-06-16 发布日期:2011-12-19
作者简介:汤国明(1964- ), 男, 副教授,研究方向为代数学及其应用. Email: mrtangguoming@sina.com
基金资助:
国家自然科学基金资助项目（10601036）

Generalized graded Betti numbers of characteristic module over dual extension algebras of A_n type

TANG Guo-ming1, ZENG Ni1, ZHANG Yue-hui2

1. School of Science, Tianjin University of Technology and Education, Tianjin 300222, China;
2. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China

Received:2010-06-28 Online:2011-06-16 Published:2011-12-19

摘要/Abstract

摘要：

引入了一般代数的模的分次广义Betti数, 给出了A_n型路代数的对偶扩张代数的特征模的分次广义Betti数。

关键词: 对偶扩张代数; 特征模; 分次广义Betti数

Abstract:

The notion of generalized graded Betti numbers for any algebra is introduced, and the generalized graded Betti numbers of characteristic module over dual extension algebras of A_n type are explicitly given.

Key words: dual extension algebras; characteristic module; generalized graded Betti numbers

汤国明1，曾妮1，张跃辉2. 对偶扩张代数的特征模的广义Betti数[J]. J4, 2011, 46(6): 29-33.

TANG Guo-ming1, ZENG Ni1, ZHANG Yue-hui2. Generalized graded Betti numbers of characteristic module over dual extension algebras of A_n type[J]. J4, 2011, 46(6): 29-33.

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