Results 11 to 20 of about 713,237 (306)
New Operated Polynomial Identities and Gröbner-Shirshov Bases
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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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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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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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, Vesselin Drensky
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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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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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Factorial Characters and Tokuyama's Identity for Classical Groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 In this paper we introduce factorial characters for the classical groups and derive a number of central results. Classically, the factorial Schur function plays a fundamental role in traditional symmetric function theory and also in Schubert polynomial ...
Angèle M. Hamel, Ronald C. King
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Tensor polynomial identities [PDF]
, 2020 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 +3 more
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