DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chang, GW | - |
dc.contributor.author | Kang, BG | - |
dc.contributor.author | Toan, PT | - |
dc.date.accessioned | 2016-04-01T07:34:47Z | - |
dc.date.available | 2016-04-01T07:34:47Z | - |
dc.date.created | 2015-08-10 | - |
dc.date.issued | 2015-09-15 | - |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.other | 2015-OAK-0000033482 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/26653 | - |
dc.description.abstract | Let D be an almost Dedekind domain that is not Dedekind, M be a non-invertible maximal ideal of D, X be an indeterminate over D, and D[X] be the power series ring over D. We first construct an example of eta(1)-sets and we then use this eta(1)-set and M to give a simple proof of dim(D[X]) >= 2(aleph 1). We show that ht(M[X]/MD[X]) >= 2(aleph 1) when D has only countably many non-invertible maximal ideals or when M is countably generated. We finally construct a simple example of almost Dedekind domains that are not Dedekind with given cardinal number of non-invertible maximal ideals. (C) 2015 Elsevier Inc. All rights reserved. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.relation.isPartOf | JOURNAL OF ALGEBRA | - |
dc.title | The Krull dimension of power series rings over almost Dedekind domains | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1016/J.JALGEBRA.2015.05.010 | - |
dc.author.google | Chang, GW | - |
dc.author.google | Kang, BG | - |
dc.author.google | Toan, PT | - |
dc.relation.volume | 438 | - |
dc.relation.startpage | 170 | - |
dc.relation.lastpage | 187 | - |
dc.contributor.id | 10053709 | - |
dc.relation.journal | JOURNAL OF ALGEBRA | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | JOURNAL OF ALGEBRA, v.438, pp.170 - 187 | - |
dc.identifier.wosid | 000357063500010 | - |
dc.date.tcdate | 2019-02-01 | - |
dc.citation.endPage | 187 | - |
dc.citation.startPage | 170 | - |
dc.citation.title | JOURNAL OF ALGEBRA | - |
dc.citation.volume | 438 | - |
dc.contributor.affiliatedAuthor | Kang, BG | - |
dc.identifier.scopusid | 2-s2.0-84930009591 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 5 | - |
dc.description.scptc | 3 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.type.docType | Article | - |
dc.subject.keywordAuthor | Krull dimension | - |
dc.subject.keywordAuthor | Power series ring | - |
dc.subject.keywordAuthor | Almost Dedekind domain | - |
dc.subject.keywordAuthor | Bezout domain | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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