Semistar Operations and Standard Closure Operations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Aug 2014Embargo end date: 01 Jan 2013 English Publisher:Informa UK LimitedJournal:Communications in Algebra, volume 43, pages 325-336 (issn: 0092-7872, eissn: 1532-4125,

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Authors: Epstein, Neil;

doi: 10.1080/00927872.2014.897589 , 10.48550/arxiv.1304.8067

arXiv: 1304.8067

Semistar Operations and Standard Closure Operations

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Abstract

The main change from the previous version is a new theorem in section 4 characterizing the standardized radical in terms of the total quotient ring. I also incorporated minor changes following the referee's comments. 12 pages, comments welcome

Let $R$ be a commutative ring. It is shown that there is an order isomorphism between a popular class of finite type closure operations on the ideals of $R$ and the poset of semistar operations of finite type.

Related Organizations

George Mason University
United States

Keywords

13A15, 13B22, FOS: Mathematics, Mathematics - Commutative Algebra, Commutative Algebra (math.AC)

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