Results 11 to 20 of about 693,995 (304)
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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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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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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, 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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Some symmetric polynomial and related identities [PDF]
ریاضی و جامعهIn this paper, we study some symmetric polynomials and their properties. In addition to the elementary and complete symmetric polynomials, we consider the accumulative versions of these polynomials and using common combinatorial tools, particularly ...
Narges Ghareghani +1 more
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CC-circuits and the expressive power of nilpotent algebras [PDF]
Logical Methods in Computer Science, 2022 We show that CC-circuits of bounded depth have the same expressive power as circuits over finite nilpotent algebras from congruence modular varieties. We use this result to phrase and discuss a new algebraic version of Barrington, Straubing and Th\'erien'
Michael Kompatscher
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Identity-Type Functions and Polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 For a noncommuting product of functions, similar to convolutions, an “identity-type function” leaving a specific function invariant is defined. It is evaluated for any choice of function on which it acts by solving a functional equation. A closed-form representation for the identity-type function of(1+t)−b(b>0)is obtained, which is a solution of a ...
M. Aslam Chaudhry, Asghar Qadir
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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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