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Free products of inverse semigroups II

Published online by Cambridge University Press:  18 May 2009

Peter R. Jones ,
Stuart W. Margolis ,
John Meakin  and
Joseph B. Stephen
Peter R. Jones
Affiliation:
Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee WI 53233
Stuart W. Margolis
Affiliation:
Department of Computer Science, University of Nebraska, Lincoln NE 68588
John Meakin
Affiliation:
Department of Mathematics and Statistics, University of Nebraska, Lincoln NE 68588
Joseph B. Stephen
Affiliation:
Department Of Mathematical Sciences, Northern Illinois University, Dekalb IL 60115
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Let S and T be inverse semigroups. Their free product S inv T is their coproduct in the category of inverse semigroups, defined by the usual commutative diagram. Previous descriptions of free products have been based, like that for the free product of groups, on quotients of the free semigroup product S sgp T. In that framework, a set of canonical forms for S inv T consists of a transversal of the classes of the congruence associated with the quotient. The general result [4] of Jones and previous partial results [3], [5], [6] take this approach.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 33 , Issue 3 , September 1991 , pp. 373 - 387
Copyright
Copyright © Glasgow Mathematical Journal Trust 1991

References

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