Results 111 to 120 of about 3,079 (232)

Boolean sets, skew Boolean algebras and a non-commutative Stone duality [PDF]

, 2016
We describe right-hand skew Boolean algebras in terms of a class of presheaves of sets over Boolean algebras called Boolean sets, and prove a duality theorem between Boolean sets and étalé spaces over Boolean spaces.
Lawson, Mark, Kudryavtseva, Ganna
core   +1 more source

FILTERS AND IDEAL BOOLE ALGEBRAS [PDF]

Fiabilitate şi Durabilitate, 2013
In this article we study Boolean algebras in terms of ideals and filters that are used in this dualityfuzzy logic mainframe systems.
Olimpia-Mioara PECINGINA, Constantin BOGDAN   +1 more
doaj  

Totally disconnected compactifications

International Journal of Mathematics and Mathematical Sciences, 1993
There is a one-to-one order preserving correspondence between totally disconnected compactifications of a topological space and certain Boolean algebras of open closed subsets on it.
Parfeny P. Saworotnow
doaj   +1 more source

Identities in the Algebra of Partial Maps

, 2005
We consider the identities of a variety of semigroup-related algebras modelling the algebra of partial maps. We show that the identities are intimately related to a weak semigroup deductive system and we show that the equational theory is decidable.
Marcel Jackson, Stokes, Tim E., Tim Stokes, Jackson, Marcel   +3 more
core   +1 more source

Reconstructing Classical Algebras via Ternary Operations

Mathematics
Although algebraic structures are frequently analyzed using unary and binary operations, they can also be effectively defined and unified using ternary operations.
Jorge P. Fatelo, Nelson Martins-Ferreira
doaj   +1 more source

Symmetric Boolean Algebras

, 2006
We define Boolean algebras in the linear context and study its symmetric powers. We give explicit formulae for products in symmetric Boolean algebras of various dimensions. We formulate symmetric forms of the inclusion-exclusion principle.
Díaz, Rafael, Rivas, Mariolys
openaire   +3 more sources

Nearly projective Boolean algebras

, 1994
The book is a fairly complete and up-to-date survey of projectivity and its generalizations in the class of Boolean algebras. Although algebra adds its own methods and questions, many of the results presented were first proved by topologists in the more ...
Fuchino, Sakaé, Shapiro, Leonid B, Heindorf, Lutz   +2 more
core   +1 more source

Some results on pseudo MV-algebras with n-roots

Ratio Mathematica
The paper provides a study of pseudo MV-algebras with $n$-roots. We outline their main properties and establish that the class of MV-algebras with $n$-roots forms a variety.
Chen Xinrong, Hongxing Liu
doaj   +1 more source

Completion of Boolean algebras in MSet

, 2009
Two important algebraic structures in many branches of mathematics as well as in computer science are M-sets (sets with an action of a monoid M on them) and Boolean algebras. Of particular significance are complete Boolean algebras. And in the absence of
Mahmoudi, M., Ebrahimi, M. Mehdi
core   +1 more source

Study of MV-algebras via derivations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
The main goal of this paper is to give some representations of MV-algebras in terms of derivations. In this paper, we investigate some properties of implicative and difference derivations and give their characterizations in MV-algebras.
Wang Jun Tao, She Yan Hong, Qian Ting
doaj   +1 more source