典型文献
Gorenstein Hereditary Rings
文献摘要：
In this paper,we introduce the Gorenstein hereditary and Gorenstein semi-hereditary modules and study the properties of the radical of Gorenstein projective modules over left artin rings.As an application,we characterize when Gorenstein pro-jective modules are projective and give some characterizations of the Gorenstein hered-itary rings by radical and Gorenstein projective modules over the endomorphism algebra of a module,respectively.Meanwhile we study the projective complexes over Gorenstein hereditary rings.In the last part of the paper,we study the heredity,Goren-stein heredity and quasi-heredity of the Morita context ring A(0,0)which is a left artin algebra.
文献关键词：
中图分类号：
作者姓名：
Meiqi Yan;Hailou Yao
作者机构：
College of Mathematics,Faculty of Science,Beijing University of Technology,Beijing 100124,China
文献出处：
引用格式：
[1]Meiqi Yan;Hailou Yao-.Gorenstein Hereditary Rings)[J].数学研究（英文）,2022(02):124-138
A类：
artin,hered,endomorphism,Goren
B类：
Gorenstein,Hereditary,Rings,In,this,paper,we,introduce,hereditary,semi,modules,study,properties,radical,projective,over,left,rings,application,characterize,when,are,give,some,characterizations,by,algebra,respectively,Meanwhile,complexes,last,part,heredity,quasi,Morita,context,which
AB值：
0.373058
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