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Commutative semigroup varieties with the amalgamation property

Part of: Semigroups Varieties

Published online by Cambridge University Press:  09 April 2009

G. T. Clarke
G. T. Clarke
Affiliation:
Monash University, Clayton, Victoria 3168, Australia
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Abstract

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We determine which varieties of commutative semigroups have the weak or strong amalgamation property. These are precisely the varieties of inflations of semilattices of abelian groups.

MSC classification

Secondary: 20M07: Varieties and pseudovarieties of semigroups 08B25: Products, amalgamated products, and other kinds of limits and colimits
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 30 , Issue 3 , February 1981 , pp. 278 - 283
Copyright
Copyright © Australian Mathematical Society 1981

References

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