Results 111 to 120 of about 893,091 (234)
Relatively pseudocomplemented Hilbert algebras
Abstract We characterise those Hilbert algebras that are relatively pseudocomplemented posets.
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Extension of stabilizers on subtraction algebras [PDF]
This paper explores the intersection between the class of bounded subtraction algebras and the class of Boolean algebras, demonstrating their equivalence.
Saeide Zahiri, Farshad Nahangi
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Another version of “exotic characterization of a commutative H∗-algebra”
Commutative H∗-algebra is characterized in a somewhat unusual fashion without assuming either Hilbert space structure or commutativity. Existence of an involution is not postulated also.
Parfeny P. Saworotnow
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Hilbert Coefficients of Quadratic Algebras
If R = k[x1,...,xn]/I is a graded artinian algebra, then the length of k[x1,...,xn]/Is becomes a polynomial in s of degree n for large s. If we write this polynomial in the form ∑0<=i<=n (−1)i ei (s+n−i−1 choose n−i), then the ei's are called Hilbert coefficients of I.
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On Involutive Weak Exchange Algebras
In this paper, involutive weak exchange algebras (for short, involutive WE algebras) are introduced and studied. Their properties and characterizations are investigated. Some important results and examples are given.
Andrzej Walendziak
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Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras
Let H be a complex Hilbert space and B(H) the collection of all linear bounded operators, A is the closed subspace lattice including 0 an H, then A is a nest, accordingly alg A={T∈B(H):TN⊆N, ∀N∈A} is a nest algebra. It will be shown that of nest algebra,
Dangui Yan, Chengchang Zhang
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Hilbert's Fourteenth Problem and algebraic extensions
Let \(k\) be a field of characteristic \(0,\) \(k[X]=k[X_{1},....,X_{n}]\) the polynomial ring in \(n\) variables over \(k\) and \(k(X)\) the field of fractions of \(k[X].\) In this paper, in response to Hilbert's fourteenth problem, for \(n=3\) and each \(d\geq 3\) constructive examples have been given to show that there exists a subfield \(L\) of \(k(
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On Pták functions for bounded operators
The purpose of this paper is to prove that if the Pták function p is an operator norm, on \mathcal{B}(E), associated to a norm | . |, then (E, | . |) is a pseudo-Hilbert space.
Abdellah El Kinani
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MULTIPLIERS IN HILBERT ALGEBRAS
In this paper, we introduce the concept of multiplier in a Hilbert algebra and obtained some properties of multipliers. Also, we introduce the simple multiplier and characterized the kernel of multipliers in Hilbert algebras.
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Holographic observers for time-band algebras
We study the algebra of observables in a time band on the boundary of anti-de Sitter space in a theory of quantum gravity. Strictly speaking this algebra does not have a commutant because products of operators within the time band give rise to operators ...
Kristan Jensen +2 more
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