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Titlebook: Orthomodular Lattices; Algebraic Approach Ladislav Beran Book 1985 Ladislav Beran, Prague 1985 Boolean algebra.Finite.Identity.algebra.equa

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楼主: cobble
发表于 2025-3-23 12:16:24 | 显示全部楼层
Solvability of Generalized Orthomodular Lattices, which ‵L/T∈.. Since ‵L/U∈. for the universal congruence U=L}L, E.(‵L) ≠ ∅. Define C. to be the intersection ∩{T; T∈E.(‵L)}. Then C.(‵L) is a congruence on ‵L. From I.25 we conclude that ‵L/C.(‵L) is isomorphic to a subdirect product of the lattices ‵L/T where T runs over E.(‵L). By I.26, ‵L/C.(‵L)∈..
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Application,ematical point of view our following remark can be regarded as a practical, but nonrigorous contribution to the formulation of the picture which clarifies the relationship of the theory of orthomodularity to physical application.
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Structure of Orthomodular Lattices,Let ‵L be an ortholattice and let a, b ∈ L. The element (a ∧ b′)∧ b will be called the . . of the elements a,b; the . of a,b is defined dually as the element .. The two skew operations . give rise to a new algebra . which will be called the . associated with ‵L.
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Amalgams,As a preparation for what follows, we introduce first concepts which will be prominent in our investigation.
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Generalized Orthomodular Lattices,Let ‵G = (G, ∨, ∧) be a lattice with the least element 0. For any a∈G, define .: [0,a]→[0,a],to be a unary operation on [O,a] such that .:x↦x.. We shall say that ‵G is a . if and only if it satisfies the following conditions:
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Mathematics and its Applicationshttp://image.papertrans.cn/o/image/704722.jpg
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Andrzej Indrzejczakt DoS attacks from causing open loop unstable operation of system with single channel transmission, we present a primary-redundancy (PR) communication structure on the basis of limited bandwidth allocation; the correlation of communication delay bound between PR channels is introduced. To save the l
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