Results 111 to 120 of about 176,338 (220)

Quantum Boolean Algebras

open access: yes, 2010
We introduce quantum Boolean algebras which are the analogue of the Weyl algebras for Boolean affine spaces. We study quantum Boolean algebras from the logical and set theoretical viewpoints.
openaire   +3 more sources

Study of MV-algebras via derivations

open access: yesAnalele 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

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

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   +6 more sources

Almost nilpotent Lie algebras [PDF]

open access: yes, 1987
Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of ...
Towers, David
core   +1 more source

Rough operations on Boolean algebras

open access: yes, 2004
In this paper, we introduce two pairs of rough operations on Boolean algebras. First we define a pair of rough approximations based on a partition of the unity of a Boolean algebra.
Weiru Liu, Guilin Qi
core  

Merging Intuitionistic and De Morgan Logics

open access: yesMathematics
We introduce De Morgan Heyting logic for Heyting algebras with De Morgan negation (DH-algebras). The variety DH of all DH-algebras is congruence distributive. The lattice of all subvarieties of DH is distributive.
Minghui Ma, Juntong Guo
doaj   +1 more source

POLYADIC BOOLEAN ALGEBRAS [PDF]

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

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