ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. 65,   2   (1996)
KERNELS OF TOLERANCE RELATIONS
I. CHAJDA, G. CZEDLI and I. G. ROSENBERG
Algebras with 0 and their ideals in Gumm and Ursini's sense Ref. \GU, Ref. \U are considered. A variety $\K$ is called \emph$0$-tolerance regular if each tolerance relation $\al$ of any $A\in \K$ is uniquely determined by its kernel $_\al=\set x\in A:\ll 0,x\rr\in \al.$. The main result, strengthening Agliano and Ursini Ref. \AU, asserts that every 0-tolerance regular variety is congruence permutable. Tolerance kernels of single algebras are also considered.
AMS subject classification.
Ideal determined, variety, variety with 0, tolerance, kernel, ideal, congruence permutable
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