Results 11 to 20 of about 11,887 (154)
Jordan homomorphisms and T-ideals
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Let $A$ and $B$ be associative algebras over a field $F$ with {\rm char}$(F)\ne 2$. Our first main result states that if $A$ is unital and equal to its commutator ideal, then every Jordan epimorphism $φ:A\to B$ is the sum of a homomorphism and an antihomomorphism. Our second main result concerns (not necessarily surjective) Jordan homomorphisms from $H(
Brešar, Matej, Zelmanov, Efim
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Gleason–Kahane–Żelazko Theorem for Bilinear Maps
Annales Mathematicae Silesianae, 2022 Let A and B be two unital Banach algebras and 𝔘 = A × B. We prove that the bilinear mapping φ: 𝔘 → ℂ is a bi-Jordan homomorphism if and only if φ is unital, invertibility preserving and jointly continuous.
Zivari-Kazempour Abbas
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Jordan Homomorphisms of Rings [PDF]
Transactions of the American Mathematical Society, 1950 The primary aim of this paper is to study mappings J of rings that are additive and that satisfy the conditions $$ {\left( {{a^2}} \right)^J} = {\left( {{a^J}} \right)^2},\;{\left( {aba} \right)^J} = {a^J}{b^J}{a^J} $$ (1) Such mappings will be called Jordan homomorphisms. If the additive groups admit the operator 1/2 in the sense that 2x = a
Jacobson, Nathan, Rickart, C. E.
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Characterization of mixed n-Jordan homomorphisms and pseudo n-Jordan homomorphisms
Tamkang Journal of Mathematics, 2019 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 ...
Neghabi, Masoumeh +2 more
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Von Staudt's theorem revisited [PDF]
, 2013 We establish a version of von Staudt's theorem on mappings which preserve harmonic quadruples for projective lines over (not necessarily commutative) rings with "sufficiently many" units, in particular 2 has to be a unit.Comment: More typos ...
Havlicek, Hans
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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.
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Continuity of homomorphisms on pro-nilpotent algebras [PDF]
, 2010 Let V be a variety of not necessarily associative algebras, and A an inverse limit of nilpotent algebras A_i\in V, such that some finitely generated subalgebra S \subseteq A is dense in A under the inverse limit of the discrete topologies on the A_i. A
Bergman, George M.
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Weyl images of Kantor pairs [PDF]
, 2016 Kantor pairs arise naturally in the study of 5-graded Lie algebras. In this article, we begin the study of simple Kantor pairs of arbitrary dimension. We introduce Weyl images of Kantor pairs and use them to construct examples of Kantor pairs including a
Allison, Bruce +2 more
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Extending a Jordan Ring Homomorphism [PDF]
Proceedings of the American Mathematical Society, 1973 In this paper a homomorphism from an ideal B \mathcal {B} of a quadratic Jordan algebra J \mathcal {J} without 2 2 -torsion over a ring Φ \Phi onto a unital quadratic Jordan algebra J ′ \mathcal {J}’ without
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Stability of -Jordan Homomorphisms from a Normed Algebra to a Banach Algebra
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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