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Congruence kernels in Ockham algebras
Algebra universalis, 2017For an Ockham algebra \((\mathcal{L}; f)\), the authors consider the ideals \(I\) such that \(I=0/\upsilon\) for some congruence \(\upsilon\) on \((\mathcal{L}; f)\). These ideals are called \textit{congruence kernels} and the congruence \(\upsilon\) for which \(I=0/\upsilon\) is said to have kernel \(I\).
Blyth, T. S., Silva, H. J.
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Lie Algebra Kernels and Cohomology
American Journal of Mathematics, 1954The author continues his study of the interpretation of restricted cohomology groups of restricted Lie algebras (cf. preceding review Zbl 0055.26505). Here the 3-dimensional cohomology group is interpreted in terms of ``restricted'' kernels, which are analogous to the kernels of group extension theory.
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Stonean kernels of MS-algebras
Wuhan University Journal of Natural Sciences, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Kernels over Relational Algebra Structures
2005In this paper we present a novel and general framework based on concepts of relational algebra for kernel-based learning over relational schema. We exploit the notion of foreign keys to define a new attribute that we call instance-set and we use this type of attribute to define a tree like structured representation of the learning instances.
Adam Woźnica +2 more
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STRONG ENDOMORPHISM KERNEL PROPERTY FOR BROUWERIAN ALGEBRAS
JP Journal of Algebra, Number Theory and Applications, 2015An algebra \(A\) has the endomorphism kernel property (EKP for short) if every congruence relation on \(A\) different from the greatest one is the kernel of an endomorphism on \(A\). Let \(\Theta\) be congruence on \(A\) and \(f\) be an endomorphism of \(A\). Then \(f\) is said to be compatible with \(\Theta\) if \((a,b)\in\Theta\) implies \((f(a),f(b))
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Build to order linear algebra kernels
2008 IEEE International Symposium on Parallel and Distributed Processing, 2008The performance bottleneck for many scientific applications is the cost of memory access inside linear algebra kernels. Tuning such kernels for memory efficiency is a complex task that reduces the productivity of computational scientists. Software libraries such as the Basic Linear Algebra Subprograms (BLAS) ameliorate this problem by providing a ...
Jeremy G. Siek, Ian Karlin, E. R. Jessup
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MS-Algebras Whose e-Ideals are Kernel Ideals
Studia Logica, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Congwen Luo, Yanlu Zheng
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An Extended Ockham Algebra with Endomorphism Kernel Property
Acta Mathematica Sinica, English Series, 2007An algebraic structure is said to have the endomorphism kernel property if every congruence, other than the universal congruence, is the kernel of an endomorphism. Here the author considers this property in the class of extended Ockham algebras. In particular, there is obtained a description of the finite extended de Morgan algebras with this property.
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Algebraic structure and kernel of the Schrodinger equation
Journal of Physics A: Mathematical and General, 1987The author derives the kernel of the Schrödinger equation in the following special cases: free particle, harmonic oscillator, harmonic oscillator and gravitational field, uniform field. His result are deduced from the consideration of the commutation relations of the Lie algebra. It is remarked that the same results can be obtained by using the Feynman'
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