所有τ-刚性模是投射模的代数

doi:10.6040/j.issn.1671-9352.0.2015.185

山东大学学报（理学版） ›› 2016, Vol. 51 ›› Issue (2): 16-20.doi: 10.6040/j.issn.1671-9352.0.2015.185

所有τ-刚性模是投射模的代数

谢宗真,张孝金^*

南京信息工程大学数学与统计学院, 江苏南京 210044

收稿日期:2015-04-23 出版日期:2016-02-16 发布日期:2016-03-11
通讯作者: 张孝金(1983— ),男,博士,副教授,研究方向为代数表示论. E-mail:xjzhang@nuist.edu.cn E-mail:xiezongzhen3@163.com
作者简介:谢宗真(1992— ),女,硕士研究生,研究方向为代数表示论. E-mail:xiezongzhen3@163.com
基金资助:
国家自然科学基金青年基金资助项目(11101217,11401488);江苏省自然科学基金青年基金资助项目(BK20130983)

On algebras with all τ-rigid modules projective

XIE Zong-zhen, ZHANG Xiao-jin^*

Nanjing University of Information Science and Technology School of Mathematics and Statistics, Nanjing 210044, Jiangsu, China

Received:2015-04-23 Online:2016-02-16 Published:2016-03-11

摘要/Abstract

摘要： 给出了某类特殊的代数上利用单模构造不可分解τ-刚性模的方法。并由此得出所有τ-刚性模是投射模的根平方为零的本原的不可分解代数是局部代数。

关键词: 单模, τ-刚性模, 根平方为零的代数

Abstract: For a special class of algebras, a method on constructing indecomposable τ-rigid modules from simple modules is given. As a result, it is proved that a basic and connected algebra A with radical square zero is local if all τ-rigid A-modules are projective.

Key words: τ-rigid modules, algebras with radical square zero, simple modules

中图分类号:

O154.2

谢宗真,张孝金. 所有τ-刚性模是投射模的代数[J]. 山东大学学报（理学版）, 2016, 51(2): 16-20.

XIE Zong-zhen, ZHANG Xiao-jin. On algebras with all τ-rigid modules projective[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(2): 16-20.

参考文献

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所有τ-刚性模是投射模的代数

On algebras with all τ-rigid modules projective

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