Let R be a ring and let M be a free R-module with basis B. If N is any R-module and f: B→ N is anymapping, then there exists a unique R - module homo- morphism : M→ N such that 018 = f.

Let R be a ring and let M be a free R-module with basis B. If N is any R-module and is any mapping,…

Answered: Let R be a ring and let M be a free…

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 14E

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Let R be a ring and let M be a free R-module with basis B. If N is any R-module and f: B→ N is any mapping, then there exists a unique R-module homo- morphism : M→N such that 18 = f.