QA65 : Multiplicative sets of idempotents in a finite ring
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2011
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Abstarct: Let R be a finite ring with identity. T its set of idempotents. We study the subsets
of T that can be closed under multiplication and the idempotents that fact has to the
structure of R. We consider the subset M of all minimal idempotents and zero. We
achieve this by studing the properties of units that are preserved by idempotents. We
prove that M is closed under multiplication if and only if R is a direct sum of local
rings.
Keywords:
#Finite ring #idempotent #local ring Link
Keeping place: Central Library of Shahrood University
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Keeping place: Central Library of Shahrood University
Visitor: