On Objects with a Semilocal Endomorphism Rings in Finitely Accessible Additive Categories

It is proved that if A is an object in a finitely accessible additive category A such that A has finite pure Goldie dimension and that every pure monomorphism A → A is an isomorphism, then its endomorphism ring En d A ( A ) is semilocal.

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Bibliographische Detailangaben
Veröffentlicht in:	Algebras and representation theory 2015-10, Vol.18 (5), p.1389-1393
1. Verfasser:	Berktaş, Mustafa Kemal
Format:	Artikel
Sprache:	eng
Schlagworte:	Associative Rings and Algebras Commutative Rings and Algebras Mathematics Mathematics and Statistics Non-associative Rings and Algebras
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	It is proved that if A is an object in a finitely accessible additive category A such that A has finite pure Goldie dimension and that every pure monomorphism A → A is an isomorphism, then its endomorphism ring En d A ( A ) is semilocal.
ISSN:	1386-923X 1572-9079
DOI:	10.1007/s10468-015-9545-8