Author:
Jones Peter R.,Margolis Stuart W.,Meakin John,Stephen Joseph B.
Abstract
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.
Publisher
Cambridge University Press (CUP)
Reference13 articles.
1. 13. Stephen J. B. , Applications of automata theory to presentations of monoids and inverse monoids (Ph.D. thesis, University of Nebraska, 1987).
2. Presentations of inverse monoids
3. Topology of finite graphs
4. 5. Knox N. , On the inverse semigroup coproduct of an arbitrary collection of groups (Ph.D. thesis, Tennessee State University, 1974).
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