Results 81 to 90 of about 2,011 (184)

Representation of certain classes of distributive lattices by sections of sheaves

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
Epstein and Horn ([6]) proved that a Post algebra is always a P-algebra and in a P-algebra, prime ideals lie in disjoint maximal chains. In this paper it is shown that a P-algebra L is a Post algebra of order n≥2, if the prime ideals of L lie in disjoint
U. Maddana Swamy, P. Manikyamba
doaj   +1 more source

The Center Of A Generalized Effect Algebra

open access: yesDemonstratio Mathematica, 2014
In this article, we study the center of a generalized effect algebra (GEA), relate it to the exocenter, and in case the GEA is centrally orthocomplete (a COGEA), relate it to the exocentral cover system. Our main results are that the center of a COGEA is
Foulis D. J., Pulmannová S.
doaj   +1 more source

Symmetric Boolean Algebras

open access: yes, 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

Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2010
We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice effect algebras.
Zdenka Riecanová
doaj   +1 more source

The Extension of an Arbitrary Boolean Algebra to an Implicative Boolean Algebra [PDF]

open access: yesProceedings of the American Mathematical Society, 1953
Copeland, Arthur H. sen., Harary, Frank
openaire   +2 more sources

Complexity of Boolean algebras

open access: yesTheoretical Computer Science, 1980
AbstractWe show that the elementary theory of Boolean algebras is ⩽log-complete for the Berman complexity class ...
openaire   +1 more source

Some results on pseudo MV-algebras with n-roots

open access: yesRatio 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

Piecewise Boolean Algebras and Their Domains [PDF]

open access: yes, 2014
We characterise piecewise Boolean domains, that is, those domains that arise as Boolean subalgebras of a piecewise Boolean algebra. This leads to equivalent descriptions of the category of piecewise Boolean algebras: either as piecewise Boolean domains equipped with an orientation, or as full structure sheaves on piecewise Boolean domains.
openaire   +4 more sources

POLYADIC BOOLEAN ALGEBRAS [PDF]

open access: yesProceedings of the National Academy of Sciences, 1954
openaire   +2 more sources

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