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Functional Identities on Matrix Algebras [PDF]
Algebras and Representation Theory, 2015 20 pages, comments welcome, version 2- applications have been ...
Matej Brešar
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Functional identities in superalgebras
Journal of Algebra, 2013 In this paper, functional identities are studied in the setting of (associative) superalgebras, assuming \(2\) is invertible in the ground ring of scalars \(\Phi\). The key concepts used are those of \textit{\(d\)-superfree sets} and \textit{superquasi-polynomials}. (See the monograph ``Functional identities''. Frontiers in Mathematics.
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Functional identities and their applications
Bulletin of Mathematical Sciences, 2023 This paper surveys the theory of functional identities and its applications. No prior knowledge of the theory is required to follow the paper.
Matej Brešar
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Symmetric functions: a bijective identity [PDF]
Proceedings of the American Mathematical Society, 1988 We give a bijective proof of a classical identity which we have named the cyclotomic identity.
Metropolis, N., Rota, Gian-Carlo
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Functional identities on upper triangular matrix rings
Open Mathematics, 2020 Let R be a subset of a unital ring Q such that 0 ∈ R. Let us fix an element t ∈ Q. If R is a (t; d)-free subset of Q, then Tn(R) is a (t′; d)-free subset of Tn(Q), where t′ ∈ Tn(Q), tll′$\begin{array}{} t_{ll}' \end{array} $ = t, l = 1, 2, …, n, for any ...
Yuan He, Chen Liangyun
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Generalizations of Ostrowski type inequalities via Hermite polynomials
Journal of Inequalities and Applications, 2020 We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable ...
Ljiljanka Kvesić +2 more
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Specificity and function of T cell subset identities using single‐cell sequencing
Clinical and Translational Discovery, 2023 T cells, with numerous classifications, are vital components of the adaptive immune system, which function to maintain homeostasis to protect against pathogens.
Xuanqi Liu, Zhenhua Zhu, Xiangdong Wang
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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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Generalized derivations acting on Lie ideals in prime rings and Banach algebras
Математичні Студії, 2023 Let $R$ be a prime ring and $L$ a non-central Lie ideal of $R.$ The purpose of this paper is to describe generalized derivations of $R$ satisfying some algebraic identities locally on $L.$ More precisely, we consider two generalized derivations $F_1$ and
A. Hermas, L. Oukhtite, L. Taoufiq
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Reflection Identities of Harmonic Sums of Weight Four
Universe, 2019 In attempt to find a proper space of function expressing the eigenvalue of the color-singlet BFKL equation in N = 4 SYM, we consider an analytic continuation of harmonic sums from positive even integer values of the argument to the complex plane.
Alexander Prygarin
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