Completely simple endomorphism rings of modules

Autor:	Victor Bovdi, Mohamed Salim, Mihail Ursul
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	topological ring endomorphism ring Bohr topology finite topology locally compact ring. Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Applied General Topology, Vol 19, Iss 2, Pp 223-237 (2018)
Druh dokumentu:	article
ISSN:	1576-9402 1989-4147
DOI:	10.4995/agt.2018.7955
Popis:	It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does not admit a nondiscrete locally compact ring topology. (ii) Under (CH) the simple ring End (Ap)/I, where I is the ideal of End (Ap) consisting of all endomorphisms with finite images, does not admit a nondiscrete locally compact ring topology. (iii) The finite topology on End (Ap) is the only second metrizable ring topology on it. Moreover, a characterization of completely simple endomorphism rings of modules over commutative rings is obtained.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/f63d013ffa0a4bd9a73017d8b2e030e7 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF