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A note on zip rings
Authors:Michał Ziembowski
Affiliation:1. Faculty of Mathematics and Information Science, Warsaw University of Technology, 00-662, Warsaw, Poland
Abstract:A ring R is called right zip if the right annihilator r R (S) of a subset S of R is zero, r R (X)=0 for a finite subset X of S. In this note we will prove that for any u.p.-monoid M a right uniform ring R is right zip if and only if the monoid ring RM] is right zip.
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