FACTORABLE CONGRUENCES AND STRICT REFINEMENT
A. A. ISKANDER
Abstract.
We show that universal algebras with factorable congruences such as rings with 1 and semirings with 0 and 1 enjoy some of the properties of universal algebras whose congruence lattices are distributive, such as the strict refinement property and a variant of Jonsson's lemma.
AMS subject classification.
Keywords.
universal algebras, factorable congruences, refinement property, factor congruence lattice, directly indecomposable algebras, ultraproducrs, direct products, homomorphisms, rings with 1, semirings with 0 and 1
Download: Adobe PDF Compressed Postscript
Compressed Postscript 
