Minimal sets and varieties

被引：14
|
作者：
Kearnes, KA [1 ]
Kiss, EW
Valeriote, MA
机构：
[1] Univ Louisville, Dept Math, Louisville, KY 40292 USA
[2] Eotvos Lorand Univ, Dept Algebra & Number Theory, H-1088 Budapest, Hungary
[3] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 350卷 / 01期
关键词：
D O I：
10.1090/S0002-9947-98-01594-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is twofold. First some machinery is established to reveal the structure of abelian congruences. Then ae describe all minimal, locally finite, locally solvable varieties. For locally solvable varieties, this solves problems 9 and 10 of Hobby and McKenzie. We generalize part of this result by proving that all locally finite varieties generated by nilpotent algebras that have a trivial locally strongly solvable subvariety are congruence permutable.
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页码：1 / 41
页数：41
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