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https://hdl.handle.net/11147/10298
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DC Field | Value | Language |
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dc.contributor.author | Üngör, Burcu | - |
dc.contributor.author | Kafkas, Gizem | - |
dc.contributor.author | Halıcıoğlu, Sait | - |
dc.contributor.author | Harmancı, Abdullah | - |
dc.date.accessioned | 2021-01-24T18:33:39Z | - |
dc.date.available | 2021-01-24T18:33:39Z | - |
dc.date.issued | 2012 | - |
dc.identifier.issn | 1303-5991 | - |
dc.identifier.issn | 2618-6470 | - |
dc.identifier.uri | https://hdl.handle.net/11147/10298 | - |
dc.identifier.uri | https://doi.org/10.1501/Commua1_0000000675 | - |
dc.description.abstract | R birimli bir halka, M saº g R-mod¸l ve M nin endomorÖzma halkas¨ S = EndR(M) olsun. Her f 2 S iÁin rM(f) = eM olacak biÁimde e2 = e 2 S varsa (denk olarakKerf,Mmod¸l¸n¸nbirdirekttoplanan¨ise)MyeRickartmod¸lad¨verilmi?stir[8]. BuÁal¨?smadaRickartmod¸llerinˆzellikleriincelenmeyedevamedilmi?stir. M birRickart mod¸l olmak ¸zere, M nin S-kat¨ (s¨ras¨yla S-indirgenmi?s, S-simetrik, S-yar¨ deºgi?smeli, S-Armendariz)mod¸l olmas¨ iÁin gerek ve yeter ?sart¨n S nin kat¨ (s¨ras¨yla indirgenmi?s, simetrik, yar¨ deºgi?smeli, Armendariz) halka olduºgu gˆsterilmi?stir. M[x], S[x] halkas¨na gˆre Rickart mod¸l iken M nin de Rickart mod¸l oldugu,tersinin M nin S-Armendariz olmas¨ durumunda doºgru olduºgu ispatlanm¨?st¨r. Ayrıca bir M mod¸l¸n¸n Rickart ol- mas¨iÁingerekveyeter?sart¨nhersaºgmod¸l¸nM-temelprojektifolduºgueldeedilmi?stir. | en_US |
dc.description.abstract | Let Rbeanarbitraryringwithidentity and M aright R-module with S =EndR(M). Following [8],the module M is called Rickart if for any f 2 S, rM(f) = eM for some e2 = e 2 S, equivalently, Kerf is a direct summandofM. Inthispaper,wecontinuetoinvestigatepropertiesofRickart modules. For a Rickart module M, we prove that M is S-rigid (resp., S- reduced, S-symmetric, S-semicommutative, S-Armendariz) if and only if its endomorphism ring S is rigid (resp., reduced, symmetric, semicommutative, Armendariz). We also prove that if M[x]is a Rickart module with respect to S[x], then M is Rickart, the converse holds if M is S-Armendariz. Among others it is also shown that M is a Rickart module if and only if every right R-module is M-principally projective. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Ankara Üniversitesi | en_US |
dc.relation.ispartof | Communications Series A1: Mathematics and Statistics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Symmetric modules | en_US |
dc.subject | Rickart modules | en_US |
dc.subject | Reduced modules | en_US |
dc.title | Some properties of Rickart modules | en_US |
dc.type | Article | en_US |
dc.institutionauthor | Kafkas, Gizem | tr |
dc.department | İzmir Institute of Technology. Mathematics | en_US |
dc.identifier.volume | 61 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.startpage | 1 | en_US |
dc.identifier.endpage | 8 | en_US |
dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | tr |
dc.identifier.trdizinid | 180152 | en_US |
dc.identifier.scopusquality | N/A | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | With Fulltext | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
Appears in Collections: | Mathematics / Matematik TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection |
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2e5f7003-44da-4014-b802-f559945f8d78.pdf | 141.18 kB | Adobe PDF | View/Open |
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