If A is a cyclic R-module of order r, then (i) every submodule of A is cyclic,

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If A is a cyclic R-module of order r, then (i) every submodule of A is cyclic, with order dividing r; (ii) for every ideal (s) containing (r), A has exactly one submodule, which is cyclic of orders.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 15, 2023 03:04 AM

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If A is a cyclic R-module of order r, then (i) every submodule of A is cyclic,

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Let A be a cyclic Rmodule of order r generated by some element a in A i Every submodule of A is cycl...View the full answer

Algebra Graduate Texts In Mathematics 73

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