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Group Homomorphism and Isomorphism
We introduce the notion of homomorphism of groups as a map between two groups which respects the group structure so that we may establish...
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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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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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Hom–Jordan–Malcev–Poisson Algebras
We provide and study a Hom-type generalization of Jordan–Malcev–Poisson algebras called Hom–Jordan–Malcev–Poisson algebras. We show that they are...
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Growth Functions of Jordan Algebras
We discuss growth functions of finitely generated Jordan algebras and the related systems: Jordan pairs and Tits-Kantor-Koecher Lie algebras. In...
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A Jordan Algebra of a Mal’tsev Algebra
This paper is devoted to the generalization of the construction of a Jordan algebra of a Lie algebra and the known theorems on the local...
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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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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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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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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...
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Jordan Automorphism of Morita Context Algebras
The aim of this article is to determine entirely the Jordan automorphisms of generalized matrix rings of Morita contexts. Necessary and sufficient...
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A note on inverse semirings with bi-derivations
We introduce the notions of Jordan bi-homomorphism, Jordan bi-derivation, Jordan left bi-derivation on inverse semirings. Some results on rings are...