On types of Noetherian local rings and modules
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Kisuk | - |
dc.date.available | 2021-02-22T15:02:29Z | - |
dc.date.issued | 2007-07 | - |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.issn | 2234-3008 | - |
dc.identifier.uri | https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/14668 | - |
dc.description.abstract | We investigate some results which concern the types of Noetherian local rings. In particular, we show that if r (Ap) <= depth Ap + 1 for each prime ideal p of a quasi-unmixed Noetherian local ring A, then A is Cohen-Macaulay. It is also shown that the Kawasaki conjecture holds when dim A <= depth A + 1. At the end, we deal with some analogous results for modules, which are derived from the results studied on rings. | - |
dc.format.extent | 9 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | KOREAN MATHEMATICAL SOCIETY | - |
dc.title | On types of Noetherian local rings and modules | - |
dc.type | Article | - |
dc.publisher.location | 대한민국 | - |
dc.identifier.doi | 10.4134/JKMS.2007.44.4.987 | - |
dc.identifier.scopusid | 2-s2.0-34547275044 | - |
dc.identifier.wosid | 000247834000021 | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.44, no.4, pp 987 - 995 | - |
dc.citation.title | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 44 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 987 | - |
dc.citation.endPage | 995 | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART001058336 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | COHEN-MACAULAY | - |
dc.subject.keywordAuthor | Cohen-Macaulay ring | - |
dc.subject.keywordAuthor | type of a ring | - |
dc.subject.keywordAuthor | Gorenstein ring | - |
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