Displaying similar documents to “On Marczewski-Burstin representable algebras”

Two constructions of De Morgan algebras and De Morgan quasirings

Ivan Chajda, Günther Eigenthaler (2009)

Discussiones Mathematicae - General Algebra and Applications

Similarity:

De Morgan quasirings are connected to De Morgan algebras in the same way as Boolean rings are connected to Boolean algebras. The aim of the paper is to establish a common axiom system for both De Morgan quasirings and De Morgan algebras and to show how an interval of a De Morgan algebra (or De Morgan quasiring) can be viewed as a De Morgan algebra (or De Morgan quasiring, respectively).

The elementary-equivalence classes of clopen algebras of P-spaces

Brian Wynne (2008)

Fundamenta Mathematicae

Similarity:

Two Boolean algebras are elementarily equivalent if and only if they satisfy the same first-order statements in the language of Boolean algebras. We prove that every Boolean algebra is elementarily equivalent to the algebra of clopen subsets of a normal P-space.

A common approach to directoids with an antitone involution and D-quasirings

Ivan Chajda, Miroslav Kolařík (2008)

Discussiones Mathematicae - General Algebra and Applications

Similarity:

We introduce the so-called DN-algebra whose axiomatic system is a common axiomatization of directoids with an antitone involution and the so-called D-quasiring. It generalizes the concept of Newman algebras (introduced by H. Dobbertin) for a common axiomatization of Boolean algebras and Boolean rings.

Functional monadic n -valued Łukasiewicz algebras

A. V. Figallo, Claudia A. Sanza, Alicia Ziliani (2005)

Mathematica Bohemica

Similarity:

Some functional representation theorems for monadic n -valued Łukasiewicz algebras (qLk n -algebras, for short) are given. Bearing in mind some of the results established by G. Georgescu and C. Vraciu (Algebre Boole monadice si algebre Łukasiewicz monadice, Studii Cercet. Mat. 23 (1971), 1027–1048) and P. Halmos (Algebraic Logic, Chelsea, New York, 1962), two functional representation theorems for qLk n -algebras are obtained. Besides, rich qLk n -algebras are introduced and characterized....