Characterizations of several Maltsev conditions

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

doi:10.1007/s00012-015-0327-2

Characterizations of several Maltsev conditions

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

Authors

M. Kozik

Professor Andrei Krokhin andrei.krokhin@durham.ac.uk
Professor

M. Valeriote

R. Willard

Abstract

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.

Citation

Kozik, M., Krokhin, A., Valeriote, M., & Willard, R. (2015). Characterizations of several Maltsev conditions. Algebra Universalis, 73(3), 205-224. https://doi.org/10.1007/s00012-015-0327-2

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
DOI	https://doi.org/10.1007/s00012-015-0327-2