Results 11 to 20 of about 5,402 (301)
On the Associative Algebra Kernels and Obstruction
, 2018 The theory of abstract kernels in non-trivial extensions for many kinds of algebraical objects, such as groups, rings and graded rings, associative algebras, Lie algebras, restricted Lie algebras, DG-algebras and DG-Lie algebras, has been widely studied since 1940's. Gerhard Hochschild firstly treats associative algebra as an generic type in the series
Zelong Li
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A Study on Neutrosophic Algebra [PDF]
Neutrosophic Sets and Systems, 2022 The notion of neutrosophic algebra, ideal of neutrosophic algebra, kernel and neutrosophic quotient algebra have been proposed in this paper. We characterize some properties of neutrosophic algebra and proved that every quotient neutrosophic algebra is ...
T. Nagaiah +3 more
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Some monounary algebras with EKP [PDF]
Mathematica Bohemica, 2020 An algebra $\cal A$ is said to have the endomorphism kernel property (EKP) if every congruence on $\cal A$ is the kernel of some endomorphism of $\cal A$. Three classes of monounary algebras are dealt with.
Emilia Halušková
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Block-encoding dense and full-rank kernels using hierarchical matrices: applications in quantum numerical linear algebra [PDF]
Quantum, 2022 Many quantum algorithms for numerical linear algebra assume black-box access to a block-encoding of the matrix of interest, which is a strong assumption when the matrix is not sparse.
Quynh T. Nguyen +2 more
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Kernel Approximation on Algebraic Varieties
SIAM Journal on Applied Algebra and Geometry, 2023 Low-rank approximation of kernels is a fundamental mathematical problem with widespread algorithmic applications. Often the kernel is restricted to an algebraic variety, e.g., in problems involving sparse or low-rank data. We show that significantly better approximations are obtainable in this setting: the rank required to achieve a given error depends
Jason M. Altschuler, Pablo A. Parrilo
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L-Fuzzy Congruences and L-Fuzzy Kernel Ideals in Ockham Algebras
Journal of Mathematics, 2021 In this paper, we study fuzzy congruence relations and kernel fuzzy ideals of an Ockham algebra A,f, whose truth values are in a complete lattice satisfying the infinite meet distributive law.
Teferi Getachew Alemayehu +2 more
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Forum of Mathematics, Pi, 2023 We prove two theorems about the Malcev Lie algebra associated to the Torelli group of a surface of genus g: Stably, it is Koszul and the kernel of the Johnson homomorphism consists only of trivial $\mathrm {Sp}_{2g}(\mathbb {Z})$ -representations ...
Alexander Kupers, Oscar Randal-Williams
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Neutrosophic Vague Binary G-subalgebra of G-algebra [PDF]
Neutrosophic Sets and Systems, 2020 Nowadays, human society is using artificial intelligence in a large manner so as to upgrade the present existing applicational criteria’s and tools. Logic is the underlying principle to these works. Algebra is inevitably inter-connected with logic. Hence
P. B. Remya, A. Francina Shalini
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The Poisson Kernel for Hardy Algebras [PDF]
Complex Analysis and Operator Theory, 2008 This note contributes to a circle of ideas that we have been developing recently in which we view certain abstract operator algebras $H^{\infty}(E)$, which we call Hardy algebras, and which are noncommutative generalizations of classical $H^{\infty}$, as spaces of functions defined on their spaces of representations.
Paul S. Muhly, Baruch Solel
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