Archimedean atomic lattice effect algebras with complete lattice of sharp elements.
Riečanová, Zdenka (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “On the lattice of deductive systems of a BL-algebra”
Archimedean atomic lattice effect algebras with complete lattice of sharp elements.
Modularity, atomicity and states in Archimedean lattice effect algebras.
Paseka, Jan (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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The prime and maximal spectra and the reticulation of BL-algebras
Laurenťiu Leuštean (2003)
Open Mathematics
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In this paper we study the prime and maximal spectra of a BL-algebra, proving that the prime spectrum is a compact T 0 topological space and that the maximal spectrum is a compact Hausdorff topological space. We also define and study the reticulation of a BL-algebra.
Comment on and a characterization of the concept of complete residuated lattice.
Zeyada, Fathei M., Abd-Allah, M.A. (2008)
The Journal of Nonlinear Sciences and its Applications
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On connections between information systems, rough sets and algebraic logic
Stephen Comer (1993)
Banach Center Publications
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In this note we remark upon some relationships between the ideas of an approximation space and rough sets due to Pawlak ([9] and [10]) and algebras related to the study of algebraic logic - namely, cylindric algebras, relation algebras, and Stone algebras. The paper consists of three separate observations. The first deals with the family of approximation spaces induced by the indiscernability relation for different sets of attributes of an information system. In [3] the family of closure...
Intersection preserving and global expansions of subalgebras and filters in lattice implication algebras.
Jun, Young Bae, Xu, Yang, Qin, Keyun (2006)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Convergences in Perfect BL-algebras.
L. C. Ciungu (2007)
Mathware and Soft Computing
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Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements
Vladimír Olejček (2012)
Kybernetika
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Does there exist an atomic Archimedean lattice effect algebra with non-atomic subalgebra of sharp elements? An affirmative answer to this question is given.
Tail and free poset algebras.
Mohamed Bekkali, Driss Zhani (2004)
Revista Matemática Complutense
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We characterize free poset algebras F(P) over partially ordered sets and show that they can be represented by upper semi-lattice algebras. Hence, the uniqueness, in decomposition into normal form, using symmetric difference, of non-zero elements of F(P) is established. Moreover, a characterization of upper semi-lattice algebras that are isomorphic to free poset algebras is given in terms of a selected set of generators of B(T).