DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kang, BG | - |
dc.contributor.author | Toan, PT | - |
dc.date.accessioned | 2016-04-01T07:53:37Z | - |
dc.date.available | 2016-04-01T07:53:37Z | - |
dc.date.created | 2015-06-18 | - |
dc.date.issued | 2015-09 | - |
dc.identifier.issn | 0022-4049 | - |
dc.identifier.other | 2015-OAK-0000032799 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/26988 | - |
dc.description.abstract | Let R be a commutative ring with unit. We study certain subrings R[X; Y, lambda] of R[X][[Y] = R[X-1, ..., X-n][[Y-1, ...,Y-m,]] where A is a nonnegative real-valued increasing function. These subrings naturally arise from studying p-adic analytic variation of zeta functions over finite fields. In our previous work, we gave a necessary and sufficient condition for R[X; Y, lambda] to be Noetherian when Y has more than one variable and lambda grows as fast as linear. In this paper, we show that the same result holds even when Y has only one variable. This contradicts Davis and Wan's result stating that R[X; Y, lambda] is always Noetherian if R is a field. We however found a mistake in their proof. (C) 2015 Elsevier B.V. All rights reserved. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.relation.isPartOf | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.title | Noetherian property of subrings of power series rings II | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1016/J.JPAA.2015.02.006 | - |
dc.author.google | Kang, BG | - |
dc.author.google | Toan, PT | - |
dc.relation.volume | 219 | - |
dc.relation.issue | 9 | - |
dc.relation.startpage | 4055 | - |
dc.relation.lastpage | 4060 | - |
dc.contributor.id | 10053709 | - |
dc.relation.journal | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | JOURNAL OF PURE AND APPLIED ALGEBRA, v.219, no.9, pp.4055 - 4060 | - |
dc.identifier.wosid | 000354001200019 | - |
dc.date.tcdate | 2018-03-23 | - |
dc.citation.endPage | 4060 | - |
dc.citation.number | 9 | - |
dc.citation.startPage | 4055 | - |
dc.citation.title | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.citation.volume | 219 | - |
dc.contributor.affiliatedAuthor | Kang, BG | - |
dc.identifier.scopusid | 2-s2.0-84927798306 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.scptc | 0 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.type.docType | Article | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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