ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. 65,   1   (1996)
pp.   101-109
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
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