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http://dx.doi.org/10.5666/KMJ.2022.62.4.641

On Injectivity of Modules via Semisimplicity  

Nguyen, Thi Thu Ha (Faculty of Fundamental Science, Industrial University of Ho Chi Minh city)
Publication Information
Kyungpook Mathematical Journal / v.62, no.4, 2022 , pp. 641-655 More about this Journal
Abstract
A right R-module N is called pseudo semisimple-M-injective if for any monomorphism from every semisimple submodule of M to N, can be extended to a homomorphism from M to N. In this paper, we study some properties of pseudo semisimple-injective modules. Moreover, some results of pseudo semisimple-injective modules over formal triangular matrix rings are obtained.
Keywords
semisimple-M-injective; soc-injective; Noetherian ring; V-ring;
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Times Cited By KSCI : 5  (Citation Analysis)
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