Some properties of star operations on ring extensions

Document Type

Article

Publication Date

1-1-2021

Publication Title

International Electronic Journal of Algebra

Abstract

Let ‹ be a star operation on a ring extension R Ď S. A ring extension R Ď S is called Prüfer star-multiplication extension (P‹ME) if pRrms, mrms q is a Manis pair in S for every ‹-maximal ideal m of R. We establish some results on star operations, and we study P‹ME in pullback diagrams of type ˝. We show that, for a maximal ideal m of R, the extension Rrms Ď S is Manis if and only if RrXsrmRrXss Ď SrXs is a Manis extension.

Department

Mathematics

Volume Number

30

First Page

99

Last Page

115

DOI

10.24330/ieja.969592

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