Results 31 to 40 of about 4,716 (302)

Trace identities and almost polynomial growth [PDF]

, 2021
In this paper we study algebras with trace and their trace polynomial identities over a field of characteristic 0. We consider two commutative matrix algebras: D2, the algebra of 2×2 diagonal matrices and C2, the algebra of 2×2 matrices generated by e11 ...
Ioppolo A., Koshlukov P., La Mattina D.
core   +1 more source

On a generalization of the Hosoya triangle [PDF]

Notes on Number Theory and Discrete Mathematics
This paper introduces the Fibonacci polynomial triangle, inspired by the structure of the Hosoya triangle and constructed using Fibonacci polynomials.
Turhan Çifçi, Hamza Menken, Orhan Dişkaya   +2 more
doaj   +1 more source

Applications of q-difference equation and homogeneous q-shift operator rΦs(Dxy) in q-polynomials

Partial Differential Equations in Applied Mathematics, 2023
In this paper, the generalized homogeneous q-shift operator is constructed. The q-difference equation is then utilized to construct numerous polynomial q-identities, such as the generating function and its extension, Rogers’ formula and its extension ...
Samaher A. Abdul-Ghani, Husam L. Saad
doaj   +1 more source

Multialternating graded polynomials and growth of polynomial identities [PDF]

Proceedings of the American Mathematical Society, 2013
Let G G be a finite group and
Aljadeff, E, GIAMBRUNO, Antonino
openaire   +3 more sources

Superalgebras: Polynomial identities and asymptotics

Journal of Algebra, 2022
Let \(A\) be an associative superalgebra, one attaches to it the \textit{sequence of supercodimensions} \(c_n^{\sup}(A)\), \(n \ge1\). In case of characteristic zero, it is well known that for a PI-superalgebra such a sequence is exponentially bounded, and the limit \(\exp^{\sup}(A) = \lim_{n\to\infty}\sqrt[n]{c_n^{\sup}(A)}\) exists and is an integer ...
Giambruno A., La Mattina D.
openaire   +3 more sources

Identities for the Generalized Fibonacci Polynomial

Integers, 2017
See the abstract in the attached pdf.
Rigoberto Flórez, Nathan McAnally, Antara Mukherjee   +2 more
openaire   +5 more sources

Commutativity of one sided s-unital rings through a Streb's result

International Journal of Mathematics and Mathematical Sciences, 1997
The main theorem proved in the present paper states as follows “Let m, k, n and s be fixed non-negative integers such that k and n are not simultaneously equal to 1 and R be a left (resp right) s-unital ring satisfying [(xmyk)n−xsy,x]=0 (resp [(xmyk)n ...
Murtaza A. Quadri, V. W. Jacob, M. Ashraf   +2 more
doaj   +1 more source

Some Polynomial Sequence Relations

Mathematics, 2019
We give some polynomial sequence relations that are generalizations of the Sury-type identities. We provide two proofs, one based on an elementary identity and the other using the method of generating functions.
Chan-Liang Chung
doaj   +1 more source

Polynomial identities related to special Schubert varieties

, 2023
Let S be a single condition Schubert variety with an arbitrary number of strata. Recently, an explicit description of the summands involved in the decomposition theorem applied to such a variety has been obtained in a paper of the second author. Starting
Franco D., Sessa C., Cioffi F.
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New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m

Математичні Студії, 2021
We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level-$m$. We give some algebraic properties, as well as some other identities which connect these polynomial class with the generalized $\lambda$-Stirling type numbers of ...
D. Bedoya, M. Ortega, W. Ramírez, A. Urieles   +3 more
doaj   +1 more source