Representations of non-splittable extension algebras
β Scribed by Kunio Yamagata
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 798 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Let k be a finite field and assume that β³ is a finite dimensional associative Ε½ . k-algebra with 1. Denote by mod β³ the category of all finitely generated right β³-modules and by ind β³ the full subcategory in which every object is a representa-Ε½ . tive of the isoclass of an indecomposable right β³-mod
## Abstract We give a simple new construction of representable relation algebras with nonβrepresentable completions. Using variations on our construction, we show that the elementary closure of the class of completely representable relation algebras is not finitely axiomatizable (Β© 2009 WILEYβVCH V