Affiliation:
1. Department of Mathematics, Hacettepe University, Ankara, Turkey
Abstract
In this paper, copure-injectively poor modules are introduced as modules whose copure-injectivity domains are minimal. Rings over which every module is copure-injectively poor are CDS rings. Examples showing the relations between poor and copi-poor modules are given. It is shown that over a commutative (co-)noetherian ring copi-poor modules coincide with pi-poor modules. Also, some properties of copure-split modules are given.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
2 articles.
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1. Copure direct injective modules;Journal of Algebra and Its Applications;2021-06-19
2. Relative subcopure-injective modules;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2020-04-26