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Characterizations of the commutators involving idempotents in certain subrings of M2(Z)

ArticleAçık Erişim

Özet

In this paper, we characterize the idempotency, cleanness, and unit-regularity of the commutator [E1,E2] = E1E2 − E2E1 involving idempotents E1,E2 in certain subrings of M2(Z). © This work is licensed under a Creative Commons Attribution 4.0 International License.

Anahtar Kelimeler

Clean (Nil-clean) elementcommutatoridempotentNilpotentunit elementunit-regular element
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12216Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.55730/1300-0098.3443Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorÖzdİn, Tufan
dc.contributor.authorGümüşel, Günseli
dc.date.accessioned2026-10-18T20:27:08.644864175Z
dc.date.available2026-10-18T20:27:08.644864175Z
dc.date.issued2023
dc.description.abstractIn this paper, we characterize the idempotency, cleanness, and unit-regularity of the commutator [E1,E2] = E1E2 − E2E1 involving idempotents E1,E2 in certain subrings of M2(Z). © This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.identifier.doi10.55730/1300-0098.3443
dc.identifier.eissn1303-6149
dc.identifier.endpage1507
dc.identifier.issn1300-0098
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85167904341
dc.identifier.startpage1498
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12216
dc.identifier.volume47
dc.identifier.wosWOS:001040064500013
dc.language.isoen
dc.publisherTUBITAK
dc.relation.ispartofTurkish Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectClean (Nil-clean) element
dc.subjectcommutator
dc.subjectidempotent
dc.subjectNilpotent
dc.subjectunit element
dc.subjectunit-regular element
dc.titleCharacterizations of the commutators involving idempotents in certain subrings of M2(Z)
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus0
rdl.citation.wos0
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)