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Type Preservation In Locally Finite Varieties with the CEP

Published online by Cambridge University Press:  20 November 2018

Keith A. Kearnes*
Affiliation:
Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37235, USA
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Abstract

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Assume that A is a finite algebra contained in a variety that has the congruence extension property and that B is a subalgebra of A. If αβ in Con A and α |Bβ |B, then we show that α |Bβ |B and that there is a close connection between the type labellings of the quotients 〈α, α〉 and 〈α|B, β|B〉.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1991

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