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JORDAN MAPS ON ALTERNATIVE ALGEBRAS

Author(s):
Ferreira, B. L. M. ; Ferreira, J. C. M. ; Guzzo, H., Jr.
Total Authors: 3
Document type: Journal article
Source: JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS; v. 31, n. 2, p. 14-pg., 2013-12-01.
Abstract

Let A and B be alternative algebras over a field F of characteristic not equal 2. Let k is an element of F be a nonzero element. In this paper, we prove that if a bijection phi : A -> B satisfies phi(k(ab + ba)) = k(phi(a)phi(b) + phi(b)phi(a)) for all a, b is an element of A, then phi is additive. (AU)

FAPESP's process: 10/50347-9 - Algebras, representations e applications
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants