Full metadata record
DC Field | Value | Language |
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dc.contributor.author | 노선숙 | - |
dc.date.accessioned | 2018-06-02T08:14:31Z | - |
dc.date.available | 2018-06-02T08:14:31Z | - |
dc.date.issued | 1997 | - |
dc.identifier.issn | 0092-7872 | - |
dc.identifier.other | OAK-17497 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/244160 | - |
dc.description.abstract | In a two-dimensional regular local ring (R, m), it is known that there exists a unique complete ideal I adjacent to a given simple complete m-primary ideal J from above. In this paper it is shown that there are infinitely many simple complete m-primary ideals adjacent to a given simple complete m-primary ideal J (≠ m) from below whose orders are the same as that of J and that there exists a unique complete m-primary ideal adjacent to J from below whose order is one bigger than that of J. We also show that these are all the complete ideals adjacent to J from below. It is known that there is a unique prime divisor ω and a unique infinitely near point S of R associated to a given simple complete m-primary ideal J. As a corollary of the main theorem, we obtain one-to-one correspondences between the set of simple m-primary complete ideals adjacent to J from below, the set of first neighborhood prime divisors of ω, and the set of first quadratic transformations of S. Copyright © 1997 by Marcel Dekker, Inc. | - |
dc.language | English | - |
dc.title | Simple complete ideals in two-dimensional regular local rings | - |
dc.type | Article | - |
dc.relation.issue | 5 | - |
dc.relation.volume | 25 | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.startpage | 1563 | - |
dc.relation.lastpage | 1572 | - |
dc.relation.journaltitle | Communications in Algebra | - |
dc.identifier.scopusid | 2-s2.0-21744435858 | - |
dc.author.google | Noh S. | - |
dc.contributor.scopusid | 노선숙(8094035900) | - |
dc.date.modifydate | 20180601110531 | - |