We prove that a Noetherian Hopf algebra of finite global dimension possesses further attractive homological properties, at least when it satisfies a polynomial identity. This applies in particular to quantized enveloping algebras and to quantized function algebras at a root of unity, as well as to c
Localisation and completions of Noetherian PI algebras
β Scribed by L.W Small; J.T Stafford
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 251 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
The notion of a BooLEan algebra with operators was introduced by J~NSSON and TARSKI [ 5 ] . It encompasses as special cases relation algebras (TARSKI [9]), closure algebras (MCKINSEY-TARSKI [S]), cylindric algebras (HENRIN-TARSKI [4]), polyadic algebras (HALMOS [Z]), and other algebras which have be
## 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