If R is a primitive ring with identity and e R is such that e 2
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If R is a primitive ring with identity and e ϵ R is such that e2 = e ≠ 0, then
(a) eRe is a subring of R, with identity e.
(b) eRe is primitive.
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a eRe is a subring of R with identity e Explanation Since R is a primitive ring with identity it means that R has no nontrivial twosided ideals ie ide...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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