LOCALLY FINITE AFFINE COMPLETE VARIETIES

Authors
KAARLI K
Citation
K. Kaarli, LOCALLY FINITE AFFINE COMPLETE VARIETIES, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 62, 1997, pp. 141-159
Citations number
12
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
62
Year of publication
1997
Part
2
Pages
141 - 159
Database
ISI
SICI code
0263-6115(1997)62:<141:LFACV>2.0.ZU;2-8
Abstract
The main results of the paper are the following: 1. Every locally fini te affine complete variety admits a near unanimity term; 2. A locally finite congruence distributive variety is affine complete if and only if all its algebras with no proper subalgebras are affine complete and the variety is generated by one of such algebras. The first of these results sharpens a result of McKenzie asserting that all locally finit e affine complete varieties are congruence distributive. The second on e generalizes the result by Kaarli and Pixley that characterizes arith metical affine complete varieties.