Results 11 to 20 of about 1,294 (213)
On the representation of 𝛼-complete Boolean algebras [PDF]
Transactions of the American Mathematical Society, 1957 C. C. Chang
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COMPLETENESS OF IDEALS OF A BOOLEAN ALGEBRA [PDF]
Demonstratio Mathematica, 1978 Tadeusz Traczyk
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Boolean matrices, subalgebras and automorphisms of complete Boolean algebras [PDF]
Fundamenta Mathematicae, 1977 Bohuslav Balcar, Petr Štěpánek
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The three types of normal sequential effect algebras [PDF]
Quantum, 2020 A sequential effect algebra (SEA) is an effect algebra equipped with a $\textit{sequential product}$ operation modeled after the Lüders product $(a,b)\mapsto \sqrt{a}b\sqrt{a}$ on C$^*$-algebras.
Abraham Westerbaan +2 more
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A Category of Ordered Algebras Equivalent to the Category of Multialgebras
Bulletin of the Section of Logic, 2023 It is well known that there is a correspondence between sets and complete, atomic Boolean algebras (\(\textit{CABA}\)s) taking a set to its power-set and, conversely, a complete, atomic Boolean algebra to its set of atomic elements.
Marcelo Esteban Coniglio +1 more
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The prime state ideal theorem in state residuated lattices [PDF]
Categories and General Algebraic Structures with Applications, 2023 The aim of this paper is to establish the prime state ideal theorem in state residuated lattices (SRLs). We study the state ideals lattice $\mathcal{SI}(L)$ of astate residuated lattice $(L, \varphi)$ andprove that it is a complete Brouwerian lattice ...
Francis Woumfo +2 more
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L-Fuzzy Prime Spectrums of ADLs
Advances in Fuzzy Systems, 2021 The notion of an Almost Distributive Lattice (ADL) is a common abstraction of several lattice theoretic and ring theoretic generalizations of Boolean algebra and Boolean rings.
Natnael Teshale Amare +2 more
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Not all 𝜎-complete Boolean algebras are quotients of complete Boolean algebras [PDF]
Proceedings of the American Mathematical Society, 1992 In Shelah’s model of no Borel lifting of the measure algebra we show that there is a σ \sigma -complete Boolean algebra of cardinality 2 ω {2^\omega } that is not a quotient of a complete Boolean algebra. By Stone duality, there is a basically disconnected space of weight
Dow, A., Vermeer, J.
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P-Fuzzy Ideals and P-Fuzzy Filters in P-Algebras
Advances in Fuzzy Systems, 2021 In this paper, we introduce the concept of p-fuzzy ideals and p-fuzzy filters in a p-algebra. We provide a set of equivalent conditions for a fuzzy ideal to be a p-fuzzy ideal and a p-algebra to be a Boolean algebra.
Wondwosen Zemene Norahun
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Rough Approximation Operators on a Complete Orthomodular Lattice
Axioms, 2021 This paper studies rough approximation via join and meet on a complete orthomodular lattice. Different from Boolean algebra, the distributive law of join over meet does not hold in orthomodular lattices. Some properties of rough approximation rely on the
Songsong Dai
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