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A note on n-Jordan homomorphisms
Математичні Студії{Let $ A, B $ be two rings and $ n\geqslant 2 $ be an integer. An additive map $ h\colon A\rightarrow B $ is called an $n$-Jordan homomorphism if $ h(x^{n})=h(x)^{n} $ for all $ x\in A;$ $h$ is called an n-homomorphism or an anti-$n$-homomorphism if $ h(\
M. El Azhari
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Jordan Homomorphism on ΓM- Modules [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2016 The aim object of this paper is present and study the concepts of homomorphism and Jordan homomorphism on -module and prove that every Jordan homomorphism from -ring M Into prime -module X is either a homomorphism from M into X or anti-homomorphism from ...
Sind K. Ibrahim
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Characterization of Pseudo n-Jordan Homomorphisms Between Unital Algebras [PDF]
پژوهشهای ریاضی, 2020 Let A and B be Banach algebras and B be a right A-module. In this paper, under special hypotheses we prove that every pseudo (n+1)-Jordan homomorphism f:A----> B is a pseudo n-Jordan homomorphism and every pseudo n-Jordan homomorphism is an n-Jordan ...
Abbas Zivari-Kazempour, Abasalt Bodaghi
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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 ...
M. Eshaghi Gordji +2 more
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Bulletin of the Australian Mathematical Society, 2009 AbstractLetn∈ℕ and letAandBbe rings. An additive maph:A→Bis called ann-Jordan homomorphism ifh(an)=(h(a))nfor alla∈A. Every Jordan homomorphism is ann-Jordan homomorphism, for alln≥2, but the converse is false in general. In this paper we investigate then-Jordan homomorphisms on Banach algebras. Some results related to continuity are given as well.
M. Eshaghi Gordji
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Weighted Jordan homomorphisms [PDF]
Linear and Multilinear Algebra, 2021 14 ...
Matej Brešar, M. L. C. Godoy
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A remark on $n-$Jordan homomorphisms [PDF]
, 2020 Let $A$ and $B$ be commutative algebras and $n\geqslant 2$ an integer. Then each $n-$ Jordan homomorphism $h:A\rightarrow B$ is an $n-$homomorphism.
Mohammed El Azhari
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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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$N$-JORDAN $*$-HOMOMORPHISMS IN $C^{*}$-ALGEBRAS [PDF]
Tamkang Journal of Mathematics, 2012 In this article, a new notion of $n$-Jordan homomorphism namely the mixed $n$-Jordan homomorphism is introduced. It is proved that how a mixed $(n+1)$-Jordan homomorphism can be a mixed $n$-Jordan homomorphism and vice versa. By means of some examples, it is shown that the mixed $n$-Jordan homomorphisma are different from the $n$-Jordan homomorphisms ...
Choonkil Park +2 more
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Stability of -Jordan Homomorphisms from a Normed Algebra to a Banach Algebra [PDF]
Abstract and Applied Analysis, 2013 We establish the hyperstability of -Jordan homomorphisms from a normed algebra to a Banach algebra, and also we show that an -Jordan homomorphism between two commutative Banach algebras is an -ring homomorphism.
Yang-Hi Lee
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