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On Leibniz-Poisson special polynomial identities
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 In this paper we study Leibniz-Poisson algebras satisfying polynomial identities. We study Leibniz-Poisson special and Leibniz-Poisson extended special polynomials.
Sergey M Ratseev, Olga I Cherevatenko
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Polynomial identities of incidence algebras [PDF]
Proceedings of the American Mathematical Society, 1976 In this paper we determine the polynomial identities satisfied by incidence algebras. One of our results is logically equivalent to the Amitsur-Levitzki Theorem on the polynomial identities satisfied by
Robert B. Feinberg
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The polynomial identities of the Grassmann algebra [PDF]
Transactions of the American Mathematical Society, 1973 By using the theory of codimensions the T T -ideal of polynomial identities of the Grassmann (exterior) algebra is computed.
Krakowski, D., Regev, A.
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Identities arising from higher-order Daehee polynomial bases
Open Mathematics, 2015 Here we will derive formulas for expressing any polynomial as linear combinations of two kinds of higherorder Daehee polynomial basis. Then we will apply these formulas to certain polynomials in order to get new and interesting identities involving ...
Kim Dae San, Kim Taekyun
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Algebras, dialgebras, and polynomial identities [PDF]
, 2012 This is a survey of some recent developments in the theory of associative and nonassociative dialgebras, with an emphasis on polynomial identities and multilinear operations. We discuss associative, Lie, Jordan, and alternative algebras, and the corresponding dialgebras; the KP algorithm for converting identities for algebras into identities for ...
Murray R. Bremner, R. Bremner, Murray
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Weak polynomial identities and their applications [PDF]
, 2021 summary:Let $R$ be an associative algebra over a field $K$ generated by a vector subspace $V$. The polynomial $f(x_1,\ldots ,x_n)$ of the free associative algebra $K\langle x_1,x_2,\ldots \rangle $ is a weak polynomial identity for the pair $(R,V)$ if it
Drensky, Vesselin
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, 2022 Tensor polynomial identities generalize the concept of polynomial identities on d × d matrices to identities on tensor product spaces. Here we completely characterize a certain class of tensor polynomial identities in terms of their associated Young ...
Huber, Felix, Procesi, Claudio
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The Abel-Type Polynomial Identities [PDF]
The Electronic Journal of Combinatorics, 2010 The Abel identity is $(x+y)^{n}=\sum\limits_{i=0}^{n}{n\choose i}x (x-iz)^{i-1}(y+iz)^{n-i}$, where $x,y$ and $z$ are real numbers. In this paper we deduce several polynomials expansions, referred to as Abel-type identities, by using Foata's method, and also show some of their applications.
Fengying Huang, Bolian Liu
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Identities on factorial Grothendieck polynomials [PDF]
Advances in Applied Mathematics, 2019 Gustafson and Milne proved an identity on the Schur function indexed by a partition of the form $(λ_1-n+k,λ_2-n+k,\ldots,λ_k-n+k)$. On the other hand, Fehér, Némethi and Rimányi found an identity on the Schur function indexed by a partition of the form $(m-k,\ldots,m-k, λ_1,\ldots,λ_k)$.
Peter L. Guo, Sophie C. C. Sun
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The dual of number sequences, Riordan polynomials, and Sheffer polynomials
Special Matrices, 2021 In this paper we introduce different families of numerical and polynomial sequences by using Riordan pseudo involutions and Sheffer polynomial sequences.
He Tian-Xiao, Ramírez José L.
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