Sytongly P-clean Rings and Matrices

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dc.citation.epage131en_US
dc.citation.spage116en_US
dc.citation.volumeNumber15en_US
dc.contributor.authorChen, H.en_US
dc.contributor.authorKose, H.en_US
dc.contributor.authorKurtulmaz, Y.en_US
dc.date.accessioned2015-07-28T12:02:04Z
dc.date.available2015-07-28T12:02:04Z
dc.date.issued2014en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractAbstract. An element of a ring R is strongly P-clean provided that it can be written as the sum of an idempotent and a strongly nilpotent element that commute. A ring R is strongly P-clean in case each of its elements is strongly P-clean. We investigate, in this article, the necessary and sufficient conditions under which a ring R is strongly P-clean. Many characterizations of such rings are obtained. The criteria on strong P-cleanness of 2 × 2 matrices over commutative projective-free rings are also determined.en_US
dc.description.provenanceMade available in DSpace on 2015-07-28T12:02:04Z (GMT). No. of bitstreams: 1 8098.pdf: 312838 bytes, checksum: 92d06d029fb313c0e65c2fbc0dc3a903 (MD5)en
dc.identifier.doi10.24330/ieja.266242en_US
dc.identifier.eissn1873-1856
dc.identifier.issn0024-3795
dc.identifier.urihttp://hdl.handle.net/11693/12587
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttps://dx.doi.org/10.24330/ieja.266242en_US
dc.source.titleJournal of Algebra and its Applicationsen_US
dc.subjectStrongly P-clean ringen_US
dc.subjectn×n matrixen_US
dc.subjectProjective-free ringen_US
dc.subjectUniquely nil-clean ringen_US
dc.subject16S50en_US
dc.subject16U99en_US
dc.subjectBoolean ringen_US
dc.titleSytongly P-clean Rings and Matricesen_US
dc.typeArticleen_US

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