Boolean algebras, whose elements are represented as vectors of bits, have been augmented with a “don't care” value by circuit theorists. Such an augmented algebra, with its operations appropriately extended, is called DeMorgan algebra. Various APL ...
Pseudo-equality algebras were initially introduced by Jenei and Kóródi as a possible algebraic semantic for fuzzy-type theory, and they have been revised by Dvureăźenskij and Zahiri under the name of JK-algebras. In this paper, we define and study the ...
Congruences and ideals in pseudo-effect algebras and their total algebra versions are studied. It is shown that every congruence of the total algebra induces a Riesz congruence in the corresponding pseudo-effect algebra. Conversely, to every normal ...
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