The bar-radical of baric algebras (Q1924954)
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: The bar-radical of baric algebras |
scientific article; zbMATH DE number 938581
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The bar-radical of baric algebras |
scientific article; zbMATH DE number 938581 |
Statements
The bar-radical of baric algebras (English)
0 references
22 November 1996
0 references
The bar-radical for any baric algebra and for simple and semisimple baric algebras is defined. It is proved that the bar-radical of the join of finitely many baric algebras having an idempotent element of weight 1 is the sum of the bar-radicals of these summand algebras. It is also proved that if an Artinian baric algebra has an idempotent element of weight 1 and its bar-radical is zero, then the algebra is a semisimple baric algebra. Some examples are given.
0 references
bar-radical
0 references
baric algebra
0 references
idempotent
0 references
Artinian baric algebra
0 references
0 references
