Results 41 to 50 of about 47,300 (274)
Non-associative algebras associated to Poisson algebras
, 2006 23 ...
Goze, Michel, Remm, Elisabeth
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Rota-Baxter Leibniz Algebras and Their Constructions
Advances in Mathematical Physics, 2018 In this paper, we introduce the concept of Rota-Baxter Leibniz algebras and explore two characterizations of Rota-Baxter Leibniz algebras. And we construct a number of Rota-Baxter Leibniz algebras from Leibniz algebras and associative algebras and ...
Liangyun Zhang, Linhan Li, Huihui Zheng
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Differential Gerstenhaber Algebras Associated to Nilpotent Algebras [PDF]
Asian Journal of Mathematics, 2008 30 Pages. 3 Tables. Proof of Theorem 29 is revised.
Cleyton, Richard, Poon, Yat-Sun
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Hom-algebras and homology [PDF]
, 2009 Classes of $G$-Hom-associative algebras are constructed as deformations of $G$-associative algebras along algebra endomorphisms. As special cases, we obtain Hom-associative and Hom-Lie algebras as deformations of associative and Lie algebras ...
Yau, Donald
core
Taft algebras acting on associative algebras
Journal of Algebra, 2015 Let \(H\) be the Taft Hopf algebra generated by a group-like element \(y\) and a \(y\)-skew-primitive element \(x\) with \(y^n=1\), \(x^n=0\) and \(xy=qyx\), \(q\) a primitive \(n\)-th root of unity. The author considers actions of \(H\) on an algebra \(R\), i.e., \(y\) acts as an automorphism of \(R\) and \(x\) acts as a \(y\)-skew derivation of \(R\).
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Advanced Engineering Materials, EarlyView.A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer +3 more
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Homotopes of Quasi-Jordan Algebras
Axioms, 2023 The notion of quasi-Jordan algebras was originally proposed by R. Velasquez and R. Fellipe. Later, M. R. Bremner provided a modification called K-B quasi-Jordan algebras; these include all Jordan algebras and all dialgebras, and hence all associative ...
Reem K. Alhefthi +2 more
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ALGEBRAS ASSOCIATED WITH POSETS
Demonstratio Mathematica, 2001 The paper studies algebraic structures which are associated with posets. A groupoid \(S(\cdot)\) is called a pogroupoid, if \(x\cdot y\in \{x,y\}\), \(x\cdot(y\cdot z)= y\cdot x\) and \((x\cdot y)\cdot (y\cdot z)= (x\cdot y)\cdot z\) for any three elements \(x\), \(y\), \(z\) of \(S\). A pogroupoid \(S(\cdot)\) is associated with a poset \(S(\leq)\) in
Neggers, J., Kim, Hee Sik
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Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules
Advanced Functional Materials, EarlyView.A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang +7 more
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Semiheaps and Ternary Algebras in Quantum Mechanics Revisited
Universe, 2022 We re-examine the appearance of semiheaps and (para-associative) ternary algebras in quantum mechanics. In particular, we review the construction of a semiheap on a Hilbert space and the set of bounded operators on a Hilbert space. The new aspect of this
Andrew James Bruce
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