The sum of observables on a $$\sigma $$σ-distributive lattice effect algebra
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DOI: 10.1007/s00500-018-3617-8
Abstract: Observables on quantum structures can be seen as generalizations of random variables on a measurable space $$(\Omega , \mathcal {A})$$(Ω,A) for the case when $$\mathcal {A}$$A is not necessarily a Boolean algebra. The present paper… read more here.
Keywords: observables sigma; lattice effect; sigma distributive; distributive lattice ... See more keywords
Associative Algebras with a Distributive Lattice of Subalgebras
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DOI: 10.1007/s10469-020-09608-6
Abstract: We give a full description of associative algebras over an arbitrary field, whose subalgebra lattice is distributive. All such algebras are commutative, their nil-radical is at most two-dimensional, and the factor algebra with respect to… read more here.
Keywords: associative algebras; distributive lattice; algebras distributive; lattice subalgebras ... See more keywords
A class of sub-almost distributive lattices in an associate almost distributive lattice through a filter
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DOI: 10.1142/s1793557120501363
Abstract: In this paper, we introduce a class of sub-almost distributive lattices in an associate almost distributive lattice through a filter. We obtain several algebraic properties on the class of sub-almost distributive lattices and prove that… read more here.
Keywords: distributive lattices; sub almost; almost distributive; class sub ... See more keywords