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A semigroup embedding problem and an arithmetical function

  • John M. Howie (a1) and J. L. Selfridge (a2)

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 CDcover 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 CD cover of n.

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[6] John M. Howie . Embedding semigroups in semibands; some arithmetical results. Quart. J. Math. Oxford Ser. (2) 32 (1981), 323337.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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