Results 21 to 30 of about 690 (191)

A note on homomorphisms of Hilbert algebras

International Journal of Mathematics and Mathematical Sciences, 2002
We give a representation theorem for Hilbert algebras by means of ordered sets and characterize the homomorphisms of Hilbert algebras in terms of applications defined between the sets of all irreducible deductive systems of the associated algebras.
Sergio Celani
doaj   +1 more source

On Implicative and Positive Implicative GE Algebras

Bulletin of the Section of Logic, 2023
GE algebras (generalized exchange algebras), transitive GE algebras (tGE algebras, for short) and aGE algebras (that is, GE algebras verifying the antisymmetry) are a generalization of Hilbert algebras. Here some properties and characterizations of these
Andrzej Walendziak
doaj   +1 more source

On Fuzzy Deductive Systems of Hilbert Algebras

Journal of Mathematics, 2020
In this paper, we study fuzzy deductive systems of Hilbert algebras whose truth values are in a complete lattice satisfying the infinite meet distributive law.
Gezahagne Mulat Addis, Derso Abeje Engidaw   +1 more
doaj   +1 more source

On Sheffer Stroke Be-Algebras

Discussiones Mathematicae - General Algebra and Applications, 2022
In this paper we introduce Sheffer stroke BE-algebras (briefly, SBE-algebras) and investigate a relationship between SBE-algebras and BE-algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-algebra, it is shown that any SBE ...
Katican Tugce, Oner Tahsin, Saeid Arsham Borumand   +2 more
doaj   +1 more source

Application of symmetric analytic functions to spectra of linear operators

Karpatsʹkì Matematičnì Publìkacìï, 2021
The paper is devoted to extension of the theory of symmetric analytic functions on Banach sequence spaces to the spaces of nuclear and $p$-nuclear operators on the Hilbert space.
I. Burtnyak, I. Chernega, V. Hladkyi, O. Labachuk, Z. Novosad   +4 more
doaj   +1 more source

Automating the calculation of the Hilbert–Kunz multiplicity and F-signature

SoftwareX, 2019
The Hilbert–Kunz multiplicity and F-signature are important invariants for researchers in commutative algebra and algebraic geometry. We provide software, and describe the automation, for the calculations of the two invariants in the case of intersection
Gabriel Johnson, Sandra Spiroff
doaj   +1 more source

The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators

Abstract and Applied Analysis, 2007
The concept of unbounded Fredholm operators on Hilbert C*-modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators.
A. Niknam, K. Sharifi
doaj   +1 more source

On Pre-Hilbert and Positive Implicative Pre-Hilbert Algebras

Bulletin of the Section of Logic
In the paper, pre-Hilbert algebras are defined as a generalization of Hilbert algebras (namely, a Hilbert algebra is just a pre-Hilbert algebra satisfying the property of antisymmetry).
Andrzej Walendziak
doaj   +1 more source

The C*-algebra of a Hilbert Bimodule

, 1997
We regard a right Hilbert C*-module X over a C*-algebra A endowed with an isometric *-homomorphism ϕ: A\to L_A(X) as an object X_A of the C*-category of right Hilbert A-modules. Following a construction by the first author and Roberts, we associate to it a C*-algebra O_{X_A} containing X as a ``Hilbert A-bimodule in O_{X_A}''.
DOPLICHER S, PINZARI, Claudia, ZUCCANTE R.   +2 more
openaire   +5 more sources

Hilbert norms for graded algebras [PDF]

Proceedings of the American Mathematical Society, 1999
This paper presents a solution to a problem from superanalysis about the existence of Hilbert-Banach superalgebras. Two main results are derived: 1) There exist Hilbert norms on some graded algebras (infinite-dimensional superalgebras included) with respect to which the multiplication is continuous.
Kupsch, Joachim, Smolyanov, Oleg G.
openaire   +4 more sources