Relative annihilators in semilattices
نویسندگان
چکیده
منابع مشابه
Weak Relative Pseudocomplements in Semilattices
Weak relative pseudocomplementation on a meet semilattice S is a partial operation ∗ which associates with every pair (x, y) of elements, where x ≥ y, an element z (the weak pseudocomplement of x relative to y) which is the greatest among elements u such that y = u ∧ x. The element z coincides with the pseudocomplement of x in the upper section [y) and, if S is modular, with the pseudocomplemen...
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Some properties of relative annihilators are studied in Almost Distributive Lattices (ADLs). Prime ideal conditions on ADLs are investigated in connection with the relative annihilators. The concept of Boolean congruences is introduced and characterized in terms of relative annihilators. Copyright c © 2011 Yang’s Scientific Research Institute, LLC. All rights reserved.
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1. Introduction. A meet semilattice is said to be weakly relatively pseudocomplemented, or just wr-pseudocomplemented, if, for every element x and every y ≤ x, all the maxima
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Weak relative pseudocomplementation on a meet semilattice S is a partial operation ∗ which associates with every pair (x, y) of elements, where x ≥ y, an element z (the weak pseudocomplement of x relative to y) which is the greatest among elements u such that y = u ∧ x. The element z coincides with the pseudocomplement of x in the upper section [y) and, if S is modular, with the pseudocomplemen...
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We extend von Neumann’s Double Commutant Theorem to the setting of nonselfadjoint operator algebras A, while restricting the notion of commutants of a subset S of A to those operators in A which commute with every operator in S. If A is a completely distributive commutative subspace lattice algebra acting on a Hilbert space H, we obtain an alternate characterization (to those of Erdos–Power and...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1973
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700043094