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Finite algebras that generate an injectively complete modular variety

Published online by Cambridge University Press:  17 April 2009

Keith A. Kearnes
Keith A. Kearnes
Affiliation:
Department of Mathematics, Vanderbilt University, Nashville TN 37235, United States of America
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Abstract

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We extend Kollár's result on finitely generated, injectively complete congruence distributive varieties to the congruence modular setting. By doing so we show that, given any finite algebra A of finite type, there is an algorithm to decide whether V(A) is an injectively complete, congruence modular variety.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 44 , Issue 2 , October 1991 , pp. 303 - 324
Copyright
Copyright © Australian Mathematical Society 1991

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