Results 11 to 20 of about 5,469 (233)
Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
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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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Semi-algebraic Approximation Using Christoffel–Darboux Kernel [PDF]
Constructive Approximation, 2021 We provide a new method to approximate a (possibly discontinuous) function using Christoffel-Darboux kernels. Our knowledge about the unknown multivariate function is in terms of finitely many moments of the Young measure supported on the graph of the function.
Marx, Swann +4 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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Alpha Ideals and the Space of Prime Alpha Ideals in Universal Algebras
Journal of Mathematics, 2021 The purpose of this paper is to study α-ideals in a more general context, in universal algebras having a constant 0. Several characterizations are obtained for an ideal I of an algebra A to be an α-ideal.
Gezahagne Mulat Addis
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Decomposition of Finitely Additive Markov Chains in Discrete Space
Mathematics, 2022 In this study, we consider general Markov chains (MC) defined by a transition probability (kernel) that is finitely additive. These Markov chains were constructed by S. Ramakrishnan within the concepts and symbolism of game theory.
Alexander Zhdanok, Anna Khuruma
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The kh-socle of a commutative semisimple Banach algebra [PDF]
Mathematica Bohemica, 2020 Let $\mathcal{A}$ be a commutative complex semisimple Banach algebra. Denote by ${\rm kh}({\rm soc}(\mathcal{A}))$ the kernel of the hull of the socle of $\mathcal{A}$.
Youness Hadder
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On a chain of reproducing kernel Cartan subalgebras
Moroccan Journal of Pure and Applied Analysis, 2021 Let 𝔤 be a semisimple Lie algebra, j a Cartan subalgebra of 𝔤, j*, the dual of j, jv the bidual of j and B(., .) the restriction to j of the Killing form of 𝔤.
Kraidi Anoh Yannick, Kangni Kinvi
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Wasit Journal of Computer and Mathematics Science, 2023 algebra is one of the influential branches in the field of pure Mathematics. This field concentrate on the study of the algebraic structures and discussed the relationships among them.
mohd Shahoodh
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