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Colength, multiplicity, and ideal closure operations
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 32019 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125Article in journal (Refereed) Epub ahead of print
Abstract [en]

In a formally unmixed Noetherian local ring, if the colength and multiplicity of an integrally closed ideal agree, then R is regular. We deduce this using the relationship between multiplicity and various ideal closure operations.

Place, publisher, year, edition, pages
2019.
Keywords [en]
Hilbert-Samuel multiplicity, integral closure, limit closure
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-176689DOI: 10.1080/00927872.2019.1691577ISI: 000498112100001OAI: oai:DiVA.org:su-176689DiVA, id: diva2:1377248
Available from: 2019-12-11 Created: 2019-12-11 Last updated: 2020-03-19

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