✦ LIBER ✦
Every Algebraic Chain Is the Congruence Lattice of a Ring
✍ Scribed by J.E. Vandenberg; J.G. Raftery
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 549 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
The equivalence of the following conditions on a chain (L) is proved: (1) (L) is algebraic; (2) There is a right chain domain (T) (with identity) such that (L) is isomorphic to the chain of proper two-sided ideals of (T) and all two-sided ideals of (T) are idempotent; (3) (L) is isomorphic to the congruence lattice of a ring (not necessarily with identity). 1993 Academic Press, Inc.