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n-Jordan Homomorphisms into Fields and Integral Domains
We investigate under what conditions an n -Jordan homomorphism between rings or algebras is an n -homomorphism. More specifically, if R and S are rings...
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Generalized Derivations Acting on Multilinear Polynomials as Jordan Homomorphisms
Let R be a prime ring whose characteristic is not equal to 2 , let U be the Utumi quotient ring of R, and let C be the extended centroid of R. Also...
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Automatic continuity of dense range n-homomorphisms
In this paper, we investigate the automatic continuity of n -homomorphisms and n -Jordan homomorphisms between Banach algebras, and generalize some...
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Ring Homomorphisms and Isomorphisms
It is time to further enhance our understanding of rings by introducing a pair of new concepts: homomorphisms and isomorphisms of rings. Once again,...
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Characterizing Jordan homomorphisms
It is shown that every bounded, unital linear map** that preserves elements of square zero from a C *-algebra of real rank zero and without tracial...
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Asymptotic Behavior of n-Jordan Homomorphisms
The purpose of the present work is to obtain some results concerning approximate n -Jordan homomorphisms on Banach algebras. The results of this paper...
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Preservation of Order and Orthogonality on Preduals of Jordan Algebras
We study linear maps between preduals of JBW-algebras that preserve orthogonal decompositions of functionals. We generalize and strengthen results of...
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Additivity of multiplicative Jordan semi-derivations on rings and standard operator algebras
In this paper we study the additivity of multiplicative Jordan semi-derivations on rings and standard operator algebras.
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Aggregate special functions to approximate permuting tri-homomorphisms and permuting tri-derivations associated with a tri-additive ψ-functional inequality in Banach algebras
In this paper, we define a new class of control functions through aggregate special functions. These class of control functions help us to stabilize...
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Jordan Homoderivation Behavior of Generalized Derivations in Prime Rings
Suppose that R is a prime ring with char( R ) ≠ 2 and f (ξ 1 , . . . , ξ n ) is a noncentral multilinear polynomial over C (= Z ( U )) , where U is the Utumi...
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Homomorphisms and Related Maps
It is fairly obvious that the zpd condition can be useful in the consideration of linear maps between associative algebras that preserve either zero...
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Uniformization of compact complex manifolds by Anosov homomorphisms
We study uniformization problems for compact manifolds that arise as quotients of domains in complex flag varieties by images of Anosov...
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Symmetries of C ∗-algebras and Jordan Morphisms
They are many faces of C ∗-algebras whose symmetries encode important aspects of their structures. We show that in surprisingly different situations...