Convolutional kernel function algebra [PDF]
Frontiers in Computer Science, 2022 Many systems for image manipulation, signal analysis, machine learning, and scientific computing make use of discrete convolutional filters that are known before computation begins.
Edward Stow, Paul H. J. Kelly
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Kernel L-Ideals and L-Congruence on a Subclass of Ockham Algebras [PDF]
Journal of Mathematics, 2022 In this paper, we study L-congruences and their kernel in a subclass Kn,0 of the variety of Ockham algebras A. We prove that the class of kernel L-ideals of an Ockham algebra forms a complete Heyting algebra.
Teferi Getachew Alemayehu +2 more
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Congruency, Homomorphism and Isomorphism on Autometrized Algebras [version 2; peer review: 2 approved, 1 approved with reservations] [PDF]
F1000ResearchThis paper presents a study of congruence relations on autometrized algebras. We demonstrate that in a normal autometrized algebra, which satisfies certain conditions, the set of all congruence relations forms a complete sublattice within the set of all ...
Gebrie Yeshiwas Tilahun
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The group of bi-Galois objects over the coordinate algebra of the Frobenius-Lusztig kernel of SL(2) [PDF]
, 2014 We construct, for q a root of unity of odd order, an embedding of the projective special linear group PSL(n) into the group of bi-Galois objects over u_q(sl(n))*, the coordinate algebra of the Frobenius-Lusztig kernel of SL(n), which is shown to be an ...
Julien Bichon
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Performance Portability Study of Linear Algebra Kernels in OpenCL [PDF]
, 2014 The performance portability of OpenCL kernel implementations for common memory bandwidth limited linear algebra operations across different hardware generations of the same vendor as well as across vendors is studied.
Karl Rupp +5 more
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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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Structures of Pseudo - BG Algebra and Sime pseudo – BG - Algebra
Tikrit Journal of Pure Science, 2022 In this paper, we introduced the notion new types of algebras pseudo BG- algebra, pseudo sub BG –algebra, Pseudo Ideal and pseudo strong Ideal of Pseudo-BG-Algebras.
Shwan Adnan Bajalan +2 more
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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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