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Absolute Retracts and Amalgamation in Certain Congruence Distributive Varieties

Part of: Varieties

Published online by Cambridge University Press:  20 November 2018

Peter Jipsen  and
Henry Rose
Peter Jipsen
Affiliation:
Department of Mathematics University of Cape Town Rondebosch 7700 Cape Town Republic of South Africa
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Abstract

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It is shown that if V is a congruence distributive variety whose members have one element subalgebras, then the class of absolute retracts of V is closed under direct products. If V is residually small, then a characterisation of the amalgamation class of V is given.

MSC classification

Secondary: 08B10: Congruence modularity, congruence distributivity 08B25: Products, amalgamated products, and other kinds of limits and colimits

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 3 , 01 September 1989 , pp. 309 - 313
Copyright
Copyright © Canadian Mathematical Society 1989

References

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