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Characterizations of several Maltsev conditions

Kozik, M.; Krokhin, A.; Valeriote, M.; Willard, R.

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M. Kozik

M. Valeriote

R. Willard


ame congruence theory identifies six Maltsev conditions associated with locally finite varieties omitting certain types of local behaviour. Extending a result of Siggers, we show that of these six Maltsev conditions only two of them are equivalent to strong Maltsev conditions for locally finite varieties. Besides omitting the unary type, the only other of these conditions that is strong is that of omitting the unary and affine types. We also provide novel presentations of some of the above Maltsev conditions.


Kozik, M., Krokhin, A., Valeriote, M., & Willard, R. (2015). Characterizations of several Maltsev conditions. Algebra Universalis, 73(3), 205-224.

Journal Article Type Article
Acceptance Date Jun 6, 2014
Online Publication Date Apr 29, 2015
Publication Date Jun 1, 2015
Deposit Date Mar 8, 2017
Publicly Available Date Mar 9, 2017
Journal Algebra Universalis
Print ISSN 0002-5240
Electronic ISSN 1420-8911
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 73
Issue 3
Pages 205-224


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