Semistar operations and standard closure operations

Abstract

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.

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

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