Results 121 to 130 of about 75,885 (248)
Higher Polynomial Identities for Mutations of Associative Algebras. [PDF]
Results Math, 2023 Bremner MR, Brox J, Sánchez-Ortega J.
europepmc +1 more source
Additivity of Jordan maps on Jordan algebras
Linear Algebra and its Applications, 2009 AbstractLet A and B be two Jordan algebras. In this paper, we investigate the additivity of maps ϕ from A onto B that are bijective and satisfyϕ(a∘b)=ϕ(a)∘ϕ(b),for all a,b∈A. If A contains an idempotent which satisfies some conditions, then ϕ is additive. This result generalizes all results about additivity of Jordan maps in [1,3–9,11].
openaire +2 more sources
Algebras of quotients of nonsingular Jordan algebras
Journal of Algebra, 2007 AbstractWe define a Jordan analogue of Johnson's associative algebra of quotients and study it under a suitable condition of nonsingularity of the Jordan algebra, which we call strong nonsingularity. In particular, we prove the existence and describe the maximal algebras of quotients of prime strongly nonsingular Jordan algebras.
Irene Paniello, Fernando Montaner
openaire +2 more sources
Invertibility-preserving maps of C∗-algebras with real rank zero
Abstract and Applied Analysis, 2005 In 1996, Harris and Kadison posed the following problem: show that a linear bijection between C∗-algebras that preserves the identity and the set of invertible elements is a Jordan isomorphism. In this paper, we show that if A and B are semisimple Banach
Istvan Kovacs
doaj +1 more source
Some conditions under which Jordan derivations are zero
Journal of Taibah University for Science, 2017 In the current article, we obtain the following results: Let A be an algebra and P be a semi-prime ideal of A. Suppose that d:Aâ(A/P) is a Jordan derivation such that dim{d(a)|aâA}â¤1. If d(P)={0}, then d is zero.
Z. Jokar, A. Hosseini, A. Niknam
doaj
Simple Algebras that Generalize the Jordan Algebra M38 [PDF]
, 1966 Arthur A. Sagle
openalex +1 more source