Let R be a ring and Sa nonempty set. Then the group M(S,R) is a ring with
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Let R be a ring and Sa nonempty set. Then the group M(S,R) is a ring with multiplication defined as follows: the product of ∫,g ϵ M(S,R) is the function S → R given by s|→ ∫(s) g (s).
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To show that the group MSR is a ring we need to show that it satisfies the axioms of a ring namely a...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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