QA192 : Some extensions of Strongly clean rings
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2013
Authors:
Abstarct: n this thesis, we show that if a ring R is a strongly clean ring, then so is every one-sided
ideal of R. Also we study rings that M2(R) is not strongly clean. We will give necessary and
sufficient conditions under which M
n(R) is strongly clean for every n ≥ 1. Furthermore, we
extend these results to triangular matrix ring. We determine when a 2×2 matrix ring over a
commutative local ring is strongly clean. Several equivalent criteria are given for such a matrix
to be strongly clean.
Keywords:
#Idempotent #Local ring #Matrix ring #strongly clean ring #Triangular matrix ring Link
Keeping place: Central Library of Shahrood University
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Keeping place: Central Library of Shahrood University
Visitor: