Rings in which elements are a sum of a central and a unit element

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buir.contributor.authorKurtulmaz, Yosum
dc.citation.epage631en_US
dc.citation.issueNumber4en_US
dc.citation.spage619en_US
dc.citation.volumeNumber26en_US
dc.contributor.authorKurtulmaz, Yosum
dc.contributor.authorHalıcıoğlu, S.
dc.contributor.authorHarmancı, A.
dc.contributor.authorChen, H.
dc.date.accessioned2021-03-31T02:39:36Z
dc.date.available2021-03-31T02:39:36Z
dc.date.issued2019
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractIn this paper we introduce a new class of rings whose elements are a sum of a central and a unit element, namely a ring RR is called CUCU if each element a∈Ra∈R has a decomposition a=c+ua=c+u where cc is central and uu is unit. One of the main results in this paper is that if FF is a field which is not isomorphic to Z2Z2, then M2(F)M2(F) is a CUCU ring. This implies, in particular, that any square matrix over a field which is not isomorphic to Z2Z2 is the sum of a central matrix and a unit matrix.en_US
dc.description.provenanceSubmitted by Zeynep Aykut (zeynepay@bilkent.edu.tr) on 2021-03-31T02:39:36Z No. of bitstreams: 1 Rings_in_which_elements_are_a_sum_of_a_central_and_a_unit_element.pdf: 128992 bytes, checksum: 4e91db174769a3b1012488d8a2642d98 (MD5)en
dc.description.provenanceMade available in DSpace on 2021-03-31T02:39:36Z (GMT). No. of bitstreams: 1 Rings_in_which_elements_are_a_sum_of_a_central_and_a_unit_element.pdf: 128992 bytes, checksum: 4e91db174769a3b1012488d8a2642d98 (MD5) Previous issue date: 2019en
dc.identifier.doi10.36045/bbms/1576206360en_US
dc.identifier.issn1370-1444
dc.identifier.urihttp://hdl.handle.net/11693/76030
dc.language.isoEnglishen_US
dc.publisherThe Belgian Mathematical Societyen_US
dc.relation.isversionofhttps://doi.org/10.36045/bbms/1576206360en_US
dc.source.titleBulletin of the Belgian Mathematical Societyen_US
dc.subjectCUCU ringen_US
dc.subjectCUCU-decompositionen_US
dc.subject*-clean ringen_US
dc.subjectMatrix ringen_US
dc.subjectnil *-clean ringen_US
dc.subjectUniquely nil clean ringen_US
dc.titleRings in which elements are a sum of a central and a unit elementen_US
dc.typeArticleen_US

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