Automorphism-Invariant Modules

被引：11
作者：
Guil Asensio, Pedro A. [1 ]
Srivastava, Ashish K. [2 ]
机构：
[1] Univ Murcia, Dept Math, E-30100 Murcia, Spain
[2] St Louis Univ, Dept Math & Comp Sci, St Louis, MO 63103 USA
来源：
NONCOMMUTATIVE RINGS AND THEIR APPLICATIONS | 2015年 / 634卷
关键词：
Automorphism-invariant modules; injective modules; quasi-injective modules; pure-injective modules; LEAVITT PATH ALGEBRAS; ENDOMORPHISM-RINGS; DECOMPOSITIONS; IDEMPOTENTS; SUM;
D O I：
10.1090/conm/634/12688
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A module is called automorphism-invariant if it is invariant under any automorphism of its injective envelope. In this survey article we present the current state of art dealing with such class of modules.
引用
收藏
页码：19 / 30
页数：12
相关论文
共 36 条
[1]  
Abrams G, 2008, HOUSTON J MATH, V34, P423
[2]   The Leavitt path algebra of a graph [J].
Abrams, G ;
Pino, GA .
JOURNAL OF ALGEBRA, 2005, 293 (02) :319-334
[3]   Modules which are invariant under monomorphisms of their injective hulls [J].
Alahmadi, A ;
Er, N ;
Jain, SK .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2005, 79 :349-360
[4]   Structure of Leavitt path algebras of polynomial growth [J].
Alahmedi, Adel ;
Alsulami, Hamed ;
Jain, Surender ;
Zelmanov, Efim I. .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2013, 110 (38) :15222-15224
[5]  
Aranda Pino G., PREPRINT
[6]   Left cotorsion rings [J].
Asensio, PAG ;
Herzog, I .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2004, 36 :303-309
[7]   Simple rings with injectivity conditions on one-sided ideals [J].
Clark, John ;
Van Huynh, Dinh .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2007, 76 (02) :315-320
[8]   REFINEMENTS FOR INFINITE DIRECT DECOMPOSITIONS OF ALGEBRAIC SYSTEMS [J].
CRAWLEY, P ;
JONSSON, B .
PACIFIC JOURNAL OF MATHEMATICS, 1964, 14 (03) :797-&
[9]   LOCALLY FINITELY PRESENTED ADDITIVE CATEGORIES [J].
CRAWLEYBOEVEY, W .
COMMUNICATIONS IN ALGEBRA, 1994, 22 (05) :1641-1674
[10]   ALGEBRAS FOR WHICH EVERY INDECOMPOSABLE RIGHT MODULE IS INVARIANT IN ITS INJECTIVE ENVELOPE [J].
DICKSON, SE ;
FULLER, KR .
PACIFIC JOURNAL OF MATHEMATICS, 1969, 31 (03) :655-&
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