منابع مشابه
Commutative pseudo BE-algebras
The aim of this paper is to introduce the notion of commutative pseudo BE-algebras and investigate their properties.We generalize some results proved by A. Walendziak for the case of commutative BE-algebras.We prove that the class of commutative pseudo BE-algebras is equivalent to the class of commutative pseudo BCK-algebras. Based on this result, all results holding for commutative pseudo BCK-...
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Based on the Buşneag’s model ([2, 3, 4]), the notion of pseudovaluations (valuations) on a BE-algebra is introduced, and a pseudometric is induced by a pseudo-valuation on BE-algebras. Related properties are investigated, and conditions for a real-valued function on a BE-algebra to be a pseudo-valuation are discussed. Using the notion of (pseudo) valuation, we show that the binary operation in ...
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The main purpose of this work is to introduce the class of the monadic dynamic algebras (dynamic algebras with one quantifier). Similarly to a theorem of Kozen we establish that every separable monadic dynamic algebra is isomorphic to a monadic (possibly non-standard) Kripke structure. We also classify the simple (monadic) dynamic algebras. Moreover, in the dynamic duality theory, we analyze th...
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Introduction. The elementary structure theory for finite Boolean algebras is, for our purposes, summarized in the following theorem, (see [1, p. 163], or [2, p. 344]). (*) If B is a finite Boolean algebra, then it is completely characterized by the number of its elements, a number which must be of the form 2", where n is the number of atoms of B. In this case B is faithfully represented as the ...
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ژورنال
عنوان ژورنال: Mathematica Slovaca
سال: 2020
ISSN: 1337-2211,0139-9918
DOI: 10.1515/ms-2017-0411