If R is a primitive ring with identity and e R is such that e 2 e 0, then (a) e R e is a subring of R, with identity e (b) e R e is primitive ...

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 ...

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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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Aug 03, 2023 08:24 AM

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If R is a primitive ring with identity and e R is such that e 2

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Algebra Graduate Texts In Mathematics 73

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