Prime ideals in a Lie algebra
β Scribed by P Dorai; P.S Rema
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 555 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We describe third power associative multiplications ) on noncentral Lie ideals of prime algebras and skew elements of prime algebras with involution provided w x that x ) y y y ) x s x, y for all x, y and the prime algebras in question do not satisfy polynomial identities of low degree. We also obta
We write det L L / 0 q y y if the matrix formed by brackets between elements of a basis of L L is nonsinguy lar. Unlike Lie super algebras, a Lie color algebra L L may have det L L / 0 and a Ε½ . universal enveloping algebra U L L which is not prime. We will provide examples Ε½ . and show that U L L i
For a submonoid S of a torsion-free abelian-by-finite group, we describe the height-one prime ideals of the semigroup algebra K S . As an application we investigate when such algebras are unique factorization rings.  2002 Elsevier Science (USA) Let S be a submonoid of a group. In this paper we inv