Let a 1 , a, ... be a sequence of elements in a semigroup G. Then there
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Let a1, a, ... be a sequence of elements in a semigroup G. Then there exists a unique function ψ : N* → G such that ψ(1) = a1, ψ(2) = a1a2, ψ(3) = (a1a2)a3 and for n ≥ 1,ψ(n + 1) = (ψ(n))an+1- Note that ψ(n) is precisely the standard n product
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72 II i=1 ai.
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
Question Posted:
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