Let R be a ring that (as a left R-module) is the sum of its minimal left
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Let R be a ring that (as a left R-module) is the sum of its minimal left ideals. Assume that {r ϵ R I Rr = 0} = 0. If A is an R-module such that RA = A, then A is semi simple.
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To prove that the Rmodule A is semisimple we need to show that A is a direct sum of simple submodules Recall that a submodule ...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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