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Start Over Author "TRUONG CONG QUYNH" Journal analele stiintifice ale universitatii 'al.i. cuza' din iasi. matematica

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1. Regular endomorphism rings and principally injective modules.

Author

Truong Cong Quynh and Dinh Duc Tai

Subjects
*ENDOMORPHISM rings, *RING theory, *INJECTIVE modules (Algebra), *MODULES (Algebra), *HOMOMORPHISMS
Abstract

A submodule N of M is called fully invariant if f(N) ≤ N for all f ∈ End(M). In this paper, we consider a generalization of fully invariant submodules and its applications. In particular, regularity of endomorphism ring of finitely generated quasi projective modules are studied. Let M be a quasi-projective module and S = End(M). We show that S is regular if and only if every right R-module is M-gp-injective. [ABSTRACT FROM AUTHOR]

Published
2017

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