Results 21 to 30 of about 64,148 (170)

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

Rationality of Hilbert series in noncommutative invariant theory [PDF]

, 2017
It is a fundamental result in commutative algebra and invariant theory that a finitely generated graded module over a commutative finitely generated graded algebra has rational Hilbert series, and consequently the Hilbert series of the algebra of ...
Domokos, M., Drensky, V.
core   +2 more sources

Hilbert-Samuel sequences of homogeneous finite type [PDF]

, 2016
This paper deals with the problem of the classification of the local graded Artinian quotients $\mathbb{K}[x,y]/I$ where $\mathbb{K}$ is an algebraically closed field of characteristic $0$. They have a natural invariant called Hilbert-Samuel sequence. We
Loginov, Konstantin
core   +1 more source

A Note on Values of Noncommutative Polynomials [PDF]

, 2009
We find a class of algebras A satisfying the following property: for every nontrivial noncommutative polynomial, the linear span of all its values in A equals A.
Bresar, Matej, Klep, Igor
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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
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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

Multigraded Hilbert Series of noncommutative modules

, 2018
In this paper, we propose methods for computing the Hilbert series of multigraded right modules over the free associative algebra. In particular, we compute such series for noncommutative multigraded algebras.
La Scala, Roberto, Tiwari, Sharwan K.
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Problems of the theory of invariants and Lie algebras applied in the qualitative theory of differential systems

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023
In this work there were formulated 18 problems from the theory of invariant processes, Lie algebras, commutative graded algebras, generating functions and Hilbert series, orbit theory and Lyapunov stability theory that are important to be solved.
Mihail Popa
doaj   +1 more source

A noncommutative convexity in C*-bimodules [PDF]

Surveys in Mathematics and its Applications, 2017
Let A and B be C*-algebras. We consider a noncommutative convexity in Hilbert A-B-bimodules, called A-B-convexity, as a generalization of C*-convexity in C*-algebras.
Mohsen Kian, Mahdi Dehghani
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