Results 11 to 20 of about 94,022 (252)

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

open access: yesF1000Research
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

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

open access: yesSymmetry, 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

Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras

open access: goldJournal of Inequalities and Applications, 2005
We prove that a Jordan homomorphism from a Banach algebra into a semisimple commutative Banach algebra is a ring homomorphism. Using a signum effectively, we can give a simple proof of the Hyers-Ulam-Rassias stability of a Jordan homomorphism between ...
Hirasawa Go   +2 more
doaj   +2 more sources

On the Structure of Algebras and Homomorphisms [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1956
Introduction. The subject matter of this paper belongs to the general theory of sets. The objectives here are the examinations of the structure of classes of sets which are closed under various finite and transfinite set operations and those transformations which preserve these operations.
C. B. Bell
openalex   +4 more sources

Higher Homomorphisms and ‎Their Approximations [PDF]

open access: yesJournal 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]

open access: yesSahand 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

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