Original Articles

IDEAL DETERMINED VARIETIES HAVE UNBOUNDED DEGREES OF PERMUTABILITY

Published in: Quaestiones Mathematicae
Volume 20 , issue 4 , 1997 , pages: 563–568

DOI: 10.1080/16073606.1997.9632225

Author(s): GrahamD. Barbour Department of Computer Science, South Africa , JamesG. Raftery Department of Mathematics and Applied Mathematics, South Africa

Keywords: 08B05

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Abstract

It is proved that for every integer n ≥ 2, there is a (finitely generated congruence distributive) ideal determined variety that is congruence (n + 1)-permutable but not congruence n-permutable. This answers a question of Gumm and Ursini.

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