INSERTION-OF-FACTORS-PROPERTY ON NILPOTENT ELEMENTS

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dc.contributor.authorBaek, Jineonko
dc.contributor.authorChin, Wooyoungko
dc.contributor.authorChoi, Jiwoongko
dc.contributor.authorEom, Taehyunko
dc.contributor.authorJeon, Young Cheolko
dc.contributor.authorLee, Yangko
dc.date.accessioned2013-03-12T07:30:16Z-
dc.date.available2013-03-12T07:30:16Z-
dc.date.created2012-06-15-
dc.date.created2012-06-15-
dc.date.issued2012-
dc.identifier.citationBULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.49, no.2, pp.381 - 394-
dc.identifier.issn1015-8634-
dc.identifier.urihttp://hdl.handle.net/10203/101671-
dc.description.abstractWe generalize the insertion-of-factors-property by setting nil-potent products of elements. In the process we introduce the concept of a nil-IFP ring that is also a generalization of an NI ring. It is shown that if Kothe's conjecture holds, then every nil-IFP ring is NI. The class of minimal noncommutative nil-IFP rings is completely determined, up to isomorphism, where the minimal means having smallest cardinality.-
dc.languageEnglish-
dc.publisherKOREAN MATHEMATICAL SOC-
dc.subjectARMENDARIZ RINGS-
dc.subjectORE EXTENSIONS-
dc.subject2-PRIMAL RINGS-
dc.subjectPRIME IDEALS-
dc.subjectREPRESENTATION-
dc.titleINSERTION-OF-FACTORS-PROPERTY ON NILPOTENT ELEMENTS-
dc.typeArticle-
dc.identifier.wosid000302483700016-
dc.identifier.scopusid2-s2.0-84859114135-
dc.type.rimsART-
dc.citation.volume49-
dc.citation.issue2-
dc.citation.beginningpage381-
dc.citation.endingpage394-
dc.citation.publicationnameBULLETIN OF THE KOREAN MATHEMATICAL SOCIETY-
dc.identifier.doi10.4134/BKMS.2012.49.2.381-
dc.contributor.localauthorJeon, Young Cheol-
dc.contributor.nonIdAuthorBaek, Jineon-
dc.contributor.nonIdAuthorChin, Wooyoung-
dc.contributor.nonIdAuthorChoi, Jiwoong-
dc.contributor.nonIdAuthorEom, Taehyun-
dc.contributor.nonIdAuthorLee, Yang-
dc.type.journalArticleArticle-
dc.subject.keywordAuthornilpotent element-
dc.subject.keywordAuthorIFP ring-
dc.subject.keywordAuthornil-IFP ring-
dc.subject.keywordAuthorNI ring-
dc.subject.keywordAuthorpolynomial ring-
dc.subject.keywordPlusARMENDARIZ RINGS-
dc.subject.keywordPlusORE EXTENSIONS-
dc.subject.keywordPlus2-PRIMAL RINGS-
dc.subject.keywordPlusPRIME IDEALS-
dc.subject.keywordPlusREPRESENTATION-
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