Existence of Covers and Envelopes of a Left Orthogonal Class and Its Right Orthogonal Class of Modules

In this paper, we investigate the notions of X⊥-projective, X-injective, and X-flat modules and give some characterizations of these modules, where X is a class of left modules. We prove that the class of all X⊥-projective modules is Kaplansky. Further, if the class of all X-injective R-modules is c...

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Bibliographic Details
Main Authors: Arunachalam Umamaheswaran, Ramalingam Udhayakumar, Chelliah Selvaraj, Kandhasamy Tamilvanan, Masho Jima Kabeto
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/8072134
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