When is every module with essential socle a direct sum of automorphism-invariant modules?
In: Journal of Algebra & Its Applications, Jg. 19 (2020-10-01), Heft 10, S. N.PAG- (14S.)
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Zugriff:
The purpose of this paper is to study the structure of rings over which every essential extension of a direct sum of a family of simple modules is a direct sum of automorphism-invariant modules. We show that if R is a right quotient finite dimensional (q.f.d.) ring satisfying this property, then R is right Noetherian. Also, we show a von Neumann regular (semiregular) ring R with this property is Noetherian. Moreover, we prove that a commutative ring with this property is an Artinian principal ideal ring. [ABSTRACT FROM AUTHOR]
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When is every module with essential socle a direct sum of automorphism-invariant modules?
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Autor/in / Beteiligte Person: | Ebrahimi Atani, Shahabaddin ; Dolati Pish Hesari, Saboura ; Khoramdel, Mehdi |
Zeitschrift: | Journal of Algebra & Its Applications, Jg. 19 (2020-10-01), Heft 10, S. N.PAG- (14S.) |
Veröffentlichung: | 2020 |
Medientyp: | academicJournal |
ISSN: | 0219-4988 (print) |
DOI: | 10.1142/S0219498820501856 |
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