Results 1 to 10 of about 94,465 (164)

Double Affine Hecke Algebras of Rank 1 and the Z_3-Symmetric Askey-Wilson Relations [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2010
We consider the double affine Hecke algebra H=H(k_0,k_1,k_0^v,k_1^v;q) associated with the root system (C_1^v,C_1). We display three elements x, y, z in H that satisfy essentially the Z_3-symmetric Askey-Wilson relations.
Paul Terwilliger, Tatsuro Ito
doaj   +3 more sources

Congruency, Homomorphism  and Isomorphism on Autometrized Algebras [version 2; peer review: 2 approved, 1 approved with reservations] [PDF]

F1000Research
This paper presents a study of congruence relations on autometrized algebras. We demonstrate that in a normal autometrized algebra, which satisfies certain conditions, the set of all congruence relations forms a complete sublattice within the set of all ...
Gebrie Yeshiwas Tilahun
doaj   +2 more sources

Words and polynomial invariants of finite groups in non-commutative variables [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
Let $V$ be a complex vector space with basis $\{x_1,x_2,\ldots,x_n\}$ and $G$ be a finite subgroup of $GL(V)$. The tensor algebra $T(V)$ over the complex is isomorphic to the polynomials in the non-commutative variables $x_1, x_2, \ldots, x_n$ with ...
Anouk Bergeron-Brlek, Christophe Hohlweg, Mike Zabrocki   +2 more
doaj   +7 more sources

Higher Homomorphisms and ‎Their Approximations [PDF]

Journal of Mahani Mathematical Research, 2023
‎In this paper‎, ‎we introduce a class of higher homomorphisms on an algebra $ \mathcal{A} $ and we characterize the structure of them as a linear combination of some ‎sequences‎ of homomorphisms‎.‎ ‎Also ‎‎we prove that for any approximate higher ring ...
Sayed khalil Ekrami
doaj   +1 more source

Automatic Continuity of Almost $n$-Multiplicative Linear Functionals [PDF]

Sahand Communications in Mathematical Analysis, 2022
We generalize a theorem due to Jarosz, by proving that every almost $n$-multiplicative linear functional on Banach algebra $A$ is automatically continuous.
Abbas Zivari-Kazempour
doaj   +1 more source

Tense like equality algebras [PDF]

Categories and General Algebraic Structures with Applications, 2020
In this paper, first we define the notion of involutive operator on bounded involutive equality algebras and by using it, we introduce a new class of equality algebras that we called it a tense like equality algebra.
Mohammad Ali Hashemi, Rajabali Borzooei
doaj   +1 more source

Jordan Higher Bi- Homomorphism and Co- Jordan Higher Bi- Homomorphism on Banach Algebra

مجلة بغداد للعلوم, 2021
The concepts of higher Bi- homomorphism and Jordan higher Bi- homomorphism have been introduced and studied the relation between Jordan and ordinary higher Bi- homomorphism also the concepts of Co- higher Bi- homomorphism and  Co- Jordan higher Bi ...
Rajaa Chaffat Shaheen
doaj   +1 more source

A New Framework of Interval-valued Neutrosophic in Ẑ -algebra [PDF]

Neutrosophic Sets and Systems, 2023
This article deals about an interval-valued neutrosophic Ẑ-algebra is a mathematical framework which incorporates the concepts of interval-valued neutrosophic sets, Ẑ-algebra and algebraic operations.
K. P. Shanmugapriya, P. Hemavathi
doaj   +1 more source

Jordan *-homomorphisms on C^*-algebras [PDF]

Operators and Matrices, 2011
In this paper, we investigate Jordan *-homomorphisms on $C^*$-algebras associated with the following functional inequality $\|f(\frac{b-a}{3})+f(\frac{a-3c}{3})+f(\frac{3a+3c-b}{3})\| \leq \|f(a)\|.$ We moreover prove the superstability and the generalized Hyers-Ulam stability of Jordan *-homomorphisms on $C^*$-algebras associated with the following ...
Gordji, M. Eshaghi, Ghobadipour, N., Park, C.   +2 more
openaire   +2 more sources

On an Approximate Solution to Rodriguez Conjecture [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2006
Rickart Theorem ensures the automatic continuity of a dense range homomorphism from a Banach algebra into a strongly Semisimple Banach algebra. Rodriguez conjecture is an extension of Rickart theorem in order to include the nonassociative algebras as ...
Amir Mohammed, Ruqiya Balu
doaj   +1 more source