Modules with minimal copure-injectivity domain


JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol.18, no.11, 2019 (SCI-Expanded) identifier identifier identifier


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.