On the star class group of a pullback
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Fontana, Marco | - |
dc.contributor.author | Park, Mi Hee | - |
dc.date.available | 2019-05-30T07:35:59Z | - |
dc.date.issued | 2005-10 | - |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.issn | 1090-266X | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/24499 | - |
dc.description.abstract | For the domain R arising from the construction T, M, D, we relate the star class groups of R to those of T and D. More precisely, let T be an integral domain, M a nonzero maximal ideal of T, D a proper subring of k := T/M, phi: T -> k the natural projection, and let R = phi(-1) (D). For each star operation * on R, we define the star operation *phi on D, i.e., the "projection" of * under phi, and the star operation (*)(T) on T, i.e., the "extension" of * to T. Then we show that, under a mild hypothesis on the group of units of T, if * is a star operation of finite type, then the sequence of canonical homomorphisms 0 -> Cl*phi (D) -> Cl* (R), Cl-(*)T -> (T) -> 0 is split exact. In particular, when * = t(R), we deduce that the sequence 0 -> Cl-tD (D) -> Cl-tR (R) -> Cl-(tR)T (T) -> 0 is split exact. The relation between (t(R))(T) and t(T) (and between Cl-(tR)T (T) and Cl-tT (T)) is also investigated. (c) 2005 Elsevier Inc. All rights reserved. | - |
dc.format.extent | 24 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | On the star class group of a pullback | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.jalgebra.2005.07.013 | - |
dc.identifier.bibliographicCitation | JOURNAL OF ALGEBRA, v.292, no.2, pp 516 - 539 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 000232415000009 | - |
dc.identifier.scopusid | 2-s2.0-25144489036 | - |
dc.citation.endPage | 539 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 516 | - |
dc.citation.title | JOURNAL OF ALGEBRA | - |
dc.citation.volume | 292 | - |
dc.type.docType | Article | - |
dc.publisher.location | 미국 | - |
dc.subject.keywordAuthor | class group | - |
dc.subject.keywordAuthor | Picard group | - |
dc.subject.keywordAuthor | star operation | - |
dc.subject.keywordAuthor | pullback | - |
dc.subject.keywordAuthor | t-ideal | - |
dc.subject.keywordAuthor | Prufer multiplication domain | - |
dc.subject.keywordPlus | V-MULTIPLICATION DOMAINS | - |
dc.subject.keywordPlus | KRONECKER FUNCTION RINGS | - |
dc.subject.keywordPlus | STRONG MORI DOMAINS | - |
dc.subject.keywordPlus | INTEGRAL-DOMAINS | - |
dc.subject.keywordPlus | GENERAL-THEORY | - |
dc.subject.keywordPlus | OPERATIONS | - |
dc.subject.keywordPlus | OVERRINGS | - |
dc.subject.keywordPlus | PAIRS | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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