Every Algebraic Chain Is the Congruence Lattice of a Ring

Autor: James G. Raftery, J.E. Vandenberg
Rok vydání: 1993
Předmět:
Zdroj: Journal of Algebra. 162(1):95-106
ISSN: 0021-8693
DOI: 10.1006/jabr.1993.1244
Popis: The equivalence of the following conditions on a chain L is proved: (1) L is algebraic; (2)There is a tight 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).
Databáze: OpenAIRE