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Lifting amalgams and other colimits of monoids

Published online by Cambridge University Press:  24 October 2008

Philip R. Heath
Philip R. Heath
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St John's, Newfoundland A1C 5S7, Canada
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Extract

Let U = [{Mi: i ∈ I}; U; {øi: i ∈ I}] be a monoid amalgam of inclusions, i.e. U and each Mi is a monoid, and øi: U → Mi are inclusions. Let be the monoid free product of the amalgam U (see for example [10] for these concepts), and let β: B → H be a homomorphism of monoids. The type of question we seek to answer in this paper is under what conditions (on β, B and H) can we deduce that B is isomorphic to the free product of the amalgam

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 1 , July 1990 , pp. 21 - 29
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

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