n阶三角矩阵环上的 Gorenstein 投射模与维数

doi:10.6040/j.issn.1671-9352.0.2014.537

山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (12): 85-92.doi: 10.6040/j.issn.1671-9352.0.2014.537

n阶三角矩阵环上的 Gorenstein 投射模与维数

朱荣民, 王占平

西北师范大学数学与统计学院, 甘肃兰州 730070

收稿日期:2014-11-28 修回日期:2015-09-06 出版日期:2015-12-20 发布日期:2015-12-23
作者简介:朱荣民(1991-),男,硕士研究生,研究方向为同调代数.E-mail:zhurm1991@163.com
基金资助:
国家自然科学基金资助项目(11261050,11201377)

Gorenstein projective modules and dimensions over triangular matrix ring of order n

ZHU Rong-min, WANG Zhan-ping

Department of Mathematics, Northwest Normal University, Lanzhou 730070, Gansu, China

Received:2014-11-28 Revised:2015-09-06 Online:2015-12-20 Published:2015-12-23

摘要/Abstract

摘要： 研究了在什么条件下n阶三角矩阵环T是左Gorenstein环, 左T-模是Gorenstein投射模, 并刻画了左T-模的Gorenstein投射维数。

关键词: 左 Gorenstein 环, 三角矩阵环, Gorenstein 投射维数

Abstract: It is investigated that when the triangular matrix ring T of order n is left Gorenstein, and when a left T-module is Gorenstein projective, and Gorenstein projective dimensions of left T-modules are characterized.

Key words: triangular matrix ring, left Gorenstein ring, Gorenstein projective dimension

中图分类号:

O153.3

朱荣民, 王占平. n阶三角矩阵环上的 Gorenstein 投射模与维数[J]. 山东大学学报（理学版）, 2015, 50(12): 85-92.

ZHU Rong-min, WANG Zhan-ping. Gorenstein projective modules and dimensions over triangular matrix ring of order n[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(12): 85-92.

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n阶三角矩阵环上的 Gorenstein 投射模与维数

Gorenstein projective modules and dimensions over triangular matrix ring of order n

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