A note on modularity in Mal'cev algebras (Q581525)
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: A note on modularity in Mal'cev algebras |
scientific article; zbMATH DE number 4019293
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on modularity in Mal'cev algebras |
scientific article; zbMATH DE number 4019293 |
Statements
A note on modularity in Mal'cev algebras (English)
0 references
1988
0 references
This paper is concerned with the study of some lattice-theoretical conditions on the lattice of subalgebras of a Malcev algebra. It is proved that supersolvable Malcev algebras are characterized as those solvable ones in which modular pairs of subalgebras are permutable. Some results by \textit{D. A. Towers} [J. Algebra 68, 369-377 (1981; Zbl 0454.17003)] are extended to the Malcev case.
0 references
lattice of subalgebras
0 references
supersolvable Mal'cev algebras
0 references
modularity
0 references
permutable subalgebras
0 references
