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Completely simple endomorphism rings of modules

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Completely simple endomorphism rings of modules

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dc.contributor.author Bovdi, Victor es_ES
dc.contributor.author Salim, Mohamed es_ES
dc.contributor.author Ursul, Mihail es_ES
dc.date.accessioned 2018-10-05T07:24:29Z
dc.date.available 2018-10-05T07:24:29Z
dc.date.issued 2018-10-04
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/109451
dc.description.abstract [EN] 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. es_ES
dc.description.sponsorship Supported by UAEU UPAR (9) 2017 Grant G00002599. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Topological ring es_ES
dc.subject Endomorphism ring es_ES
dc.subject Bohr topology es_ES
dc.subject Finite topology es_ES
dc.subject Locally compact ring es_ES
dc.title Completely simple endomorphism rings of modules es_ES
dc.type Artículo es_ES
dc.date.updated 2018-10-04T12:57:34Z
dc.identifier.doi 10.4995/agt.2018.7955
dc.relation.projectID info:eu-repo/grantAgreement/UAEU//UPAR-2017-G00002599/
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Bovdi, V.; Salim, M.; Ursul, M. (2018). Completely simple endomorphism rings of modules. Applied General Topology. 19(2):223-237. https://doi.org/10.4995/agt.2018.7955 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2018.7955 es_ES
dc.description.upvformatpinicio 223 es_ES
dc.description.upvformatpfin 237 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 19
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.contributor.funder United Arab Emirates University
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