Affiliation:
1. Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, 84156–83111, Iran
Abstract
The modules of the title are introduced as a proper generalization of quasi co-Hopfian modules, and they are characterized in several ways. The ring R is right nonsingular if and only if the densely co-Hopfian right R-modules and quasi co-Hopfian right R-modules coincide. Dense co-Hopficity is investigated for certain modules that have indecomposable decompositions complementing direct summands. For some classes of rings R, including rings with dense right socles, we determine when the injective envelope of an R-module is densely co-Hopfian.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Reference11 articles.
1. Rings and Categories of Modules
2. Quasi Co-Hopfian Modules and Applications
3. Frontiers in Mathematics;Clark J.,2006
4. Pitman Research Notes in Mathematics;Dung N. V.,1994
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