ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXI, 1(2002)
p. 3

Restricted congruence regularity of algebras
I. Chajda and H. Langer

Abstract.  An algebra $\mathcal A$ is called restricted regular with respect to a subset $M$ of its base set if every single class of some congruence $\Theta$ on $\mathcal A$ determines $\Theta|M$. A variety is called restricted regular with respect to a unary term $t$ if every of its members $(A,F)$ is restricted regular with respect to $t(A)$. The well-known results on (weak) regularity are generalized to the "restricted case".

AMS subject classification:  08A30 08B05
Keywords:  (weakly) restricted regular algebra, (weakly) restricted regular variety, Mal'cev type characterization