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