Nilpotent and solvable radicals in locally finite congruence modular varieties (Q1104960)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Nilpotent and solvable radicals in locally finite congruence modular varieties |
scientific article; zbMATH DE number 4057588
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nilpotent and solvable radicals in locally finite congruence modular varieties |
scientific article; zbMATH DE number 4057588 |
Statements
Nilpotent and solvable radicals in locally finite congruence modular varieties (English)
0 references
1987
0 references
The paper deals with the commutator theory of locally finite congruence modular varieties. For the purpose, a generalized notion of Loewy rank of a modular lattice of finite height is introduced and applied to these varieties. One of the main results is as follows: Every algebra of a congruence modular variety generated by a finite algebra has a largest nilpotent congruence and a largest solvable congruence, and these congruences are first order definable uniformly in all algebras of the variety.
0 references
commutator
0 references
locally finite congruence modular varieties
0 references
Loewy rank
0 references
nilpotent congruence
0 references
solvable congruence
0 references
0 references
0 references
