Theorem. Let M, N, and P be R-modules over a commutative ring3.2R. Then(i) MORN = NORM as R-modules.(ii) (MORN)ORP=M®R(N®RP) as R-modules.

note the theorem and I have used the notation of a function as an machine which operates on an…

Answered: Theorem. Let M, N, and P be R-modules…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.3: The Characteristic Of A Ring

Problem 10E: Let R be a commutative ring with characteristic 2. Show that each of the following is true for all...

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Theorem. Let M, N, and P be R-modules over a commutative ring 3.2 R. Then (i) MORN = NORM as R-modules. (ii) (MORN)®RP=M®R(N®RP) as R-modules.