Results 1 to 10 of about 600,006 (325)
Pentagon Relations in Direct Sums and Grassmann Algebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We construct vast families of orthogonal operators obeying pentagon relation in a direct sum of three n-dimensional vector spaces. As a consequence, we obtain pentagon relations in Grassmann algebras, making a far reaching generalization of exotic ...
Igor G. Korepanov, Nurlan M. Sadykov
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Direct sums of J-rings and radical rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 Let R be a ring, J(R) the Jacobson radical of R and P the set of potent elements of R. We prove that if R satisfies (∗) given x, y in R there exist integers m=m(x,y)>1 and n=n(x,y)>1 such that xmy=xyn and if each x∈R is the sum of a potent element and a ...
Xiuzhan Guo
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Systematics of U-spin sum rules for systems with direct sums [PDF]
Journal of High Energy PhysicsA rich mathematical structure underlying flavor sum rules has been discovered recently. In this work, we extend these findings to systems with a direct sum of representations. We prove several results for the general case.
Margarita Gavrilova, Stefan Schacht
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Preventing outbreaks in burn units: the role of hygiene compliance and early warning systems [PDF]
Antimicrobial Resistance and Infection ControlBackground and objectives To analyse observations of staff’s hand hygiene, usage of gloves and plastic aprons, and dress code compliance at the Burn Centre, Uppsala University Hospital in Sweden, and to evaluate the association between hygiene non ...
Marie Lindblad +4 more
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A function $f:[n]^{d} \to \mathbb{F}_2$ is a \defn{direct sum} if there are functions $L_i:[n]\to \mathbb{F}_2$ such that ${f(x) = \sum_{i}L_i(x_i)}$. In this work we give multiple results related to the property testing of direct sums. Our first result concerns a test proposed by Dinur and Golubev in 2019. We call their test the Diamond test and show
Alek Westover, Enda Yu, Kai Zheng
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Intuitionistic fuzzy G-modules with respect to norms (T and S) [PDF]
Notes on IFS, 2023 In this paper, we introduced intuitionistic fuzzy G-modules on M under norms (t-norm T and s-conorm S) and some related results like intersection, sum and direct sum of them has also been discussed.
Rasul Rasuli
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Order Ideals on Lexicographic Direct Sum of Three Totally Ordered Abelian Groups [PDF]
Cauchy: Jurnal Matematika Murni dan AplikasiOrder ideals play an important role in the study of abstract algebra, especially in the study of ordered groups. In this paper, we focus on the study of order ideals in lexicographic direct sums of totally ordered Abelian groups.
Dian Latifah +3 more
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Partially Coherent Direct Sum Channels [PDF]
Quantum, 2021 We introduce Partially Coherent Direct Sum (PCDS) quantum channels, as a generalization of the already known Direct Sum quantum channels. We derive necessary and sufficient conditions to identify the subset of those maps which are degradable, and provide a simplified expression for their quantum capacities.
Stefano Chessa, Vittorio Giovannetti
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On the joint continuity of module multiplication [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 Let A be any topological algebra over R or C. We show that the property of a topological left (right or two-sided) A-module to have a jointly continuous action of A is inherited by submodules, quotient modules, completion, direct products, direct sums ...
Mart Abel
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Sums of slices in direct sums of Banach spaces; pp. 8–10 [PDF]
Proceedings of the Estonian Academy of Sciences, 2014 Motivated by recent studies on the strong diameter 2 property, we exhibit a simple reason why, in many direct sums of Banach spaces, the arithmetic mean of two slices may have diameter less than 2.
Eve Oja
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