Algebras with transitive automorphism groups (Q1333297)
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: Algebras with transitive automorphism groups |
scientific article; zbMATH DE number 638599
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebras with transitive automorphism groups |
scientific article; zbMATH DE number 638599 |
Statements
Algebras with transitive automorphism groups (English)
0 references
12 October 1994
0 references
The author deals with finite simple algebras with transitive automorphism groups. He proves that either the algebra is functionally complete, or it is term-equivalent to one of some specific affine algebras, or it admits a compatible binary central relation. In a subsequent paper [``On simple surjective algebras'', Acta Sci. Math. 59, No. 1-2, 17-23 (1994)] the author has ruled out the last case. In the present paper functional completeness is proved in the presence of certain operations: a nontrivial semiprojection, a majority function, or a nontrivial conservative operation.
0 references
compatible relation
0 references
finite simple algebras
0 references
transitive automorphism groups
0 references
affine algebras
0 references
functional completeness
0 references
