A left Artinian ring R has the same number of nonisomorphic simple left R-modules as nonisomorphic simple

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A left Artinian ring R has the same number of nonisomorphic simple left R-modules as nonisomorphic simple right R-modules.

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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 08:15 AM

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A left Artinian ring R has the same number of nonisomorphic simple left R-modules as nonisomorphic simple

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Lets first clarify some terms Artinian Ring An Artinian ring is a ring in which the descending chain condition holds for left and right ideals This me...View the full answer

Algebra Graduate Texts In Mathematics 73

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