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Representable divisibility semigroups

Published online by Cambridge University Press:  20 January 2009

Bruno Bosbach
Bruno Bosbach
Affiliation:
Fachbereich 17, MathematikGesamthochschule/Universität3500 Kassel, West Germany
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Abstract

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By a divisibility semigroup we mean an algebra (S,., ∧) satisfying (Al) (S,.) is a semigroup; (A2) (S, ∧) is a semilattice; (A3) .

A divisibility semigroup is called representable if it admits a subdirect decomposition into totally ordered factors.

In this paper various types of representable divisibility semigroups are investigated and characterized, admitting a representation in general or even a special decomposition, like subdirect sums of archimedean factors, for instance.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 34 , Issue 1 , February 1991 , pp. 45 - 64
Copyright
Copyright © Edinburgh Mathematical Society 1991

References

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