Results 11 to 20 of about 4,735 (303)
Representing the Stirling polynomials σn(x) in dependence of n and an application to polynomial zero identities [PDF]
Special Matrices, 2023 Denote by σn{\sigma }_{n} the n-th Stirling polynomial in the sense of the well-known book Concrete Mathematics by Graham, Knuth and Patashnik. We show that there exist developments xσn(x)=∑j=0n(2jj!)−1qn−j(j)xjx{\sigma }_{n}\left(x)={\sum }_{j=0}^{n ...
Kovačec Alexander +1 more
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On Leibniz-Poisson special polynomial identities [PDF]
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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New Operated Polynomial Identities and Gröbner-Shirshov Bases [PDF]
Mathematics, 2022 Twenty years ago, Rota posed the problem of finding all possible algebraic identities that can be satisfied by a linear operator on an algebra, named Rota’s Classification Problem later. Rota’s Classification Problem has proceeded two steps to understand
Jinwei Wang, Zhicheng Zhu, Xing Gao
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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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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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Identities arising from higher-order Daehee polynomial bases [PDF]
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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Higher Polynomial Identities for Mutations of Associative Algebras [PDF]
Results in Mathematics, 2023 JOSÉ Brox +2 more
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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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Tensor polynomial identities [PDF]
, 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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A Class of Laguerre-Based Generalized Humbert Polynomials
International Journal of Differential Equations, 2021 Several mathematicians have extensively investigated polynomials, their extensions, and their applications in various other research areas for a decade.
Saniya Batra, Prakriti Rai
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