Results 21 to 30 of about 198,198 (194)

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

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

Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]

, 2012
It is shown that Golod–Shafarevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth.
Agata Smoktunowicz, Smoktunowicz, Agata
core   +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

Some combinatorial identities related to commuting varieties and Hilbert schemes [PDF]

, 2011
In this article we explore some of the combinatorial consequences of recent results relating the isospectral commuting variety and the Hilbert scheme of points in the ...
Ginzburg, V., Bellamy, G., Ginzburg, Victor, Bellamy, Gwyn   +3 more
core   +1 more source

Derivations of Hilbert Algebras

International Journal of Analysis and Applications, 2023
In this paper, we introduce the notions of (l, r)-derivations, (r, l)-derivations, and derivations of Hilbert algebras and investigate some related properties. In addition, we define two subsets for a derivation d of a Hilbert algebra X, Ker d(X) and Fix
Aiyared Iampan, R. Alayakkaniamuthu, P. Gomathi Sundari, N. Rajesh   +3 more
doaj   +1 more source

Heisenberg-Lie commutation relations in Banach algebras. [PDF]

, 2009
Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific ...
Laustsen, Niels Jakob, Silvestrov, Sergei D.   +1 more
core   +4 more sources

Decomposable approximations of nuclear C^*-algebras [PDF]

, 2012
We show that nuclear <i>C</i>^*-algebras have a refined version of the completely positive approximation property, in which the maps that approximately factorize through finite dimensional algebras are convex ...
Kirchberg, Eberhard, White, Stuart, Kirchberg, E., White, S., Hirshberg, I., Hirshberg, Ilan   +5 more
core   +1 more source

Sheffer Stroke Hilbert Algebras Stabilizing by Ideals

Axioms
This manuscript aims to provide a new characterization of Sheffer stroke Hilbert algebras due to their ideals and proposes stabilizers. In the setup of the main results, we construct particular subsets of Sheffer stroke Hilbert algebras and we propose ...
Tugce Katican, Hashem Bordbar
doaj   +1 more source