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Strongly 0-dimensional Modules

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dc.contributor.authorOral, Kursat Hakan
dc.contributor.authorOzkirisci, Neslihan Aysen
dc.contributor.authorTekir, Unsal
dc.date.accessioned2026-06-27T13:29:33Z
dc.date.issued2014
dc.description.abstractIn a multiplication module, prime submodules have the following property: if a prime submodule contains a finite intersection of submodules, then one of the submodules is contained in the prime submodule. In this paper, we generalize this property to infinite intersection of submodules and call such prime submodules strongly prime submodules. A multiplication module in which every prime submodule is strongly prime will be called a strongly 0-dimensional module. It is also an extension of strongly 0-dimensional rings. After this we investigate properties of strongly 0-dimensional modules and give relations of von Neumann regular modules, Q-modules and strongly 0-dimensional modules.en
dc.description.urihttps://doi.org/10.4153/cmb-2013-004-3
dc.identifier.doi10.4153/cmb-2013-004-3
dc.identifier.eissn1496-4287
dc.identifier.endpage165
dc.identifier.issn0008-4395
dc.identifier.issue1
dc.identifier.startpage159
dc.identifier.urihttps://hdl.handle.net/20.500.14981/53165
dc.identifier.volume57
dc.identifier.wos000331418000020
dc.language.isoeng
dc.publisherCAMBRIDGE UNIV PRESS
dc.relation.ispartofCANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
dc.rightsopenAccess
dc.subjectStrongly 0-dimensional rings
dc.subjectQ-module
dc.subjectVon Neumann regular module
dc.subjectSUBMODULES
dc.subjectMathematics
dc.titleStrongly 0-dimensional Modules
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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