It is shown that a semigroup algebra K S which is a principal left ideal ring is a finitely generated PI-algebra of GelfandαKirillov dimension at most 1. A complete Ε½ . w x description of principal left and right ideal rings K S , and of the underlying w x semigroups S, is obtained. Semiprime princi
Another generalization of principal ideal rings
β Scribed by D.D Anderson
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 489 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A t-(v, k, Ξ») covering is an incidence structure with v points, each block incident on exactly k points, such that every set of t distinct points is incident on at least Ξ» blocks. By considering certain geometries over finite principal ideal rings, we construct infinite families of t- (v, k, Ξ») cov
A ring R is said to be right P-injective if every homomorphism of a principal right ideal to R is given by left multiplication by an element of R. This is Ε½ . equivalent to saying that lr a s Ra for every a g R, where l and r are the left and right annihilators, respectively. We generalize this to o