A note on zip rings |
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Authors: | Michał Ziembowski |
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Affiliation: | 1. Faculty of Mathematics and Information Science, Warsaw University of Technology, 00-662, Warsaw, Poland
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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 R[M] is right zip. |
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