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Congruency, Homomorphism and Isomorphism on Autometrized Algebras [version 2; peer review: 2 approved, 1 approved with reservations] [PDF]
F1000ResearchThis 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
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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
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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
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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
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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
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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
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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
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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 +2 more
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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
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Axioms, 2023 The objective of this paper is to study the hybrid near algebra. It has been summarized with the proper definitions and theorems of hybrid near algebra, hybrid near algebra homomorphism and direct product of hybrid near algebra. It has been proved that a
Harika Bhurgula +3 more
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