Results 131 to 140 of about 914 (176)

FILTERS IN STONE BL ALGEBRAS

Quantitative Logic and Soft Computing, 2012
Qingjun Luo, Guo-Jun Wang
exaly   +2 more sources

Quasi‐Stone algebras

Mathematical Logic Quarterly, 1993
AbstractThe purpose of this paper is to define and investigate the new class of quasi‐Stone algebras (QSA's). Among other things we characterize the class of simple QSA's and the class of subdirectly irreducible QSA's. It follows from this characterization that the subdirectly irreducible QSA's form an elementary class and that the variety of QSA's is ...
Nalinaxi H. Sankappanavar   +1 more
openaire   +2 more sources

Definable sets in Stone algebras

Archive for Mathematical Logic, 2016
The paper deals with definable sets of Stone algebras. The authors introduce the notion of pseudo o-minimality of a lattice-ordered structure and prove that the completion of the theory of Stone algebras is pseudo o-minimal. Thy also investigate the decomposition of Stone algebras and prove that any definable set of a Stone algebra is a union of ...
Lei Chen 0084, Niandong Shi, Guohua Wu
openaire   +1 more source

STONE'S THEOREM IN C-ALGEBRAS

The Quarterly Journal of Mathematics, 1992
Suppose \(A\) is a \(C^*\)-algebra and let \(M(A)\) be its multiplier algebra. A linear mapping \(T\) defined on a dense subspace of \(A\) is said to be affiliated with \(A\), if there exists a multiplier \(z\in M(A)\), \(\| z\|\leq 1\) such that \(T[(1- z^* z)^{{1\over 2}} a]= za\), \(\forall a\in A\). Theorem.
Hollevoet, J.   +2 more
openaire   +1 more source

Discrete Dualities for Double Stone Algebras

Studia Logica, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivo Düntsch, Ewa Orlowska
openaire   +2 more sources

The structure of algebraically and existentially closed Stone and double Stone algebras

Journal of Symbolic Logic, 1989
In this paper we study the varieties of Stone algebras (S, ∧, ∨, *, 0, 1) and double Stone algebras (D, ∧, ∨, *, +, 0, 1). Our primary interest is to give a structural description of the algebraically and existentially closed members of both classes. Our technique is an application of the natural dualities of Davey [6] and Clark and Krauss [5].
openaire   +1 more source

On a common abstraction of de Morgan algebras and Stone algebras

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1983
SynopsisWe consider a common abstraction of de Morgan algebras and Stone algebras which we call an MS-algebra. The variety of MS-algebras is easily described by adjoining only three simple equations to the axioms for a bounded distributive lattice.
Blyth, T. S., Varlet, J. C.
openaire   +2 more sources

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