On a Recent Generalization of Semiperfect Rings

dc.contributor.author Büyükaşık, Engin
dc.contributor.author Christian, Lomp
dc.coverage.doi 10.1017/S0004972708000774
dc.date.accessioned 2016-09-20T07:22:07Z
dc.date.available 2016-09-20T07:22:07Z
dc.date.issued 2008
dc.description.abstract In a recent paper by Wang and Ding, it was stated that any ring which is generalized supplemented as a left module over itself is semiperfect. The purpose of this note is to show that Wang and Ding's claim is not true and that the class of generalized supplemented rings lies properly between the classes of semilocal and semiperfect rings. Moreover, we propose a corrected version of the theorem by introducing a wider notion of 'local' for submodules. © 2008 Australian Mathematical Society. en_US
dc.identifier.citation Büyükaşık, E, and Christian, L. (2008). On a recent generalization of semiperfect rings. Bulletin of the Australian Mathematical Society, 78(2), 317-325. doi:10.1017/S0004972708000774 en_US
dc.identifier.doi 10.1017/S0004972708000774
dc.identifier.doi 10.1017/S0004972708000774 en_US
dc.identifier.issn 0004-9727
dc.identifier.issn 0004-9727
dc.identifier.issn 1755-1633
dc.identifier.scopus 2-s2.0-55249090207
dc.identifier.uri http://doi.org/10.1017/S0004972708000774
dc.identifier.uri https://hdl.handle.net/11147/2150
dc.language.iso en en_US
dc.publisher Cambridge University Press en_US
dc.relation.ispartof Bulletin of the Australian Mathematical Society en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Generalized supplemented modules en_US
dc.subject Semiperfect rings en_US
dc.subject Supplemented modules en_US
dc.subject w-local modules en_US
dc.title On a Recent Generalization of Semiperfect Rings en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.author.institutional Büyükaşık, Engin
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gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
gdc.description.department İzmir Institute of Technology. Mathematics en_US
gdc.description.endpage 325 en_US
gdc.description.issue 2 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q3
gdc.description.startpage 317 en_US
gdc.description.volume 78 en_US
gdc.description.wosquality Q3
gdc.identifier.openalex W2047834767
gdc.identifier.wos WOS:000261417000010
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gdc.oaire.influence 5.074304E-9
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gdc.oaire.keywords 16L30
gdc.oaire.keywords 16L30; 16D10
gdc.oaire.keywords Supplemented modules
gdc.oaire.keywords Rings and Algebras (math.RA)
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords w-local modules
gdc.oaire.keywords Semiperfect rings
gdc.oaire.keywords Mathematics - Rings and Algebras
gdc.oaire.keywords Generalized supplemented modules
gdc.oaire.keywords 16D10
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gdc.opencitations.count 9
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