DC Field | Value | Language |
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dc.contributor.author | Kang, BG | - |
dc.contributor.author | Park, MH | - |
dc.date.accessioned | 2016-03-31T14:03:51Z | - |
dc.date.available | 2016-03-31T14:03:51Z | - |
dc.date.created | 2009-03-05 | - |
dc.date.issued | 1999-06-15 | - |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.other | 1999-OAK-0000010157 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/21081 | - |
dc.description.abstract | For certain classes of Prufer domains A, we study the completion (A) over cap'(T) of A with respect to the supremum topology T = sup{T-w\w is an element of Omega}, where Omega is the family of nontrivial valuations on the quotient field which are nonnegative on A and F-w is a topology induced by a valuation w is an element of Omega. It is shown that the concepts "SFT Prufer domain" and "generalized Dedekind domain" are the same. We show that if E is the ring of entire functions, then (E) over cap(,T) is a Bezout ring which is not a (T) over cap-Prufer ring, and if A is an SFT Prufer domain, then (A) over cap(,T) is a Priifer ring under a certain condition. We also show that under the same conditions as above, (A) over cap(,T) is a (T) over cap-Prufer ring if and only if the number of independent valuation overrings of A is finite. In particular, if A is a Dedekind domain (resp., h-local Priifer domain), then (A) over cap(,T) is a (T) over cap Prufer ring if and only if A has only finitely many prime ideals (resp., maximal ideals). These provide an answer to Mockor's question. (C) 1999 Academic Press. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC | - |
dc.relation.isPartOf | JOURNAL OF ALGEBRA | - |
dc.subject | POWER-SERIES RINGS | - |
dc.subject | PRUFER DOMAINS | - |
dc.title | ON MOCKOR'S QUESTION | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1006/jabr.1998.7785 | - |
dc.author.google | KANG, BG | - |
dc.author.google | PARK, MH | - |
dc.relation.volume | 216 | - |
dc.relation.issue | 2 | - |
dc.relation.startpage | 481 | - |
dc.relation.lastpage | 510 | - |
dc.contributor.id | 10053709 | - |
dc.relation.journal | JOURNAL OF ALGEBRA | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | JOURNAL OF ALGEBRA, v.216, no.2, pp.481 - 510 | - |
dc.identifier.wosid | 000080877600005 | - |
dc.date.tcdate | 2019-01-01 | - |
dc.citation.endPage | 510 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 481 | - |
dc.citation.title | JOURNAL OF ALGEBRA | - |
dc.citation.volume | 216 | - |
dc.contributor.affiliatedAuthor | Kang, BG | - |
dc.identifier.scopusid | 2-s2.0-0033563564 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 6 | - |
dc.type.docType | Article | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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