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A semigroup embedding problem and an arithmetical function
Published online by Cambridge University Press: 24 October 2008
Extract
For unexplained terms in semigroup theory see [1] or [4].
Let C, D be classes of semigroups such that every finite semigroup in the class C is embeddable in a finite semigroup in the class D. If n ≥ 2 then k is said to be a C – Dcover of n if every semigroup of order n in the class C is embeddable in a semigroup in the class D of order not greater than k. Let be the least C – D cover of n.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 109 , Issue 2 , March 1991 , pp. 277 - 286
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- Copyright © Cambridge Philosophical Society 1991