Open AccessFinite-direct-injective modules
Author(s) -
Sanjeev Kumar Maurya,
Ashok Ji Gupta
Publication year - 2018
Publication title -
international electronic journal of algebra
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.268
H-Index - 5
ISSN - 1306-6048
DOI - 10.24330/ieja.373656
Subject(s) - injective module , injective function , mathematics , module , simple module , divisible group , projective module , semisimple module , pure mathematics , class (philosophy) , horizontal line test , simple (philosophy) , discrete mathematics , ring (chemistry) , computer science , noncommutative ring , geometry , finitely generated abelian group , artificial intelligence , elementary abelian group , epistemology , philosophy , organic chemistry , chemistry , g module , abelian group
In this paper, we generalize the concept of direct-injective modules to fi nite-direct-injective modules. Various basic properties of these modules are studied. We show that the class of fi nite-direct-injective modules lies between the class of direct-injective modules and the class of simple-direct-injective modules. Also, we characterize semisimple artinian rings, V -rings and regular rings in terms of fi nite-direct-injective modules.
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