Commuting maps on alternative rings

Autor(es)

Ferreira, Bruno Leonardo Macedo ; Kaygorodov, Ivan

• Tipo de documento: Artigo Científico
• Fonte: RICERCHE DI MATEMATICA; v. 71, n. 1, p. 12-pg., 2020-11-20.

Resumo

Suppose R is a 2,3-torsion free unital alternative ring having an idempotent element e(1) (e(2) = 1 - e(1)) which satisfies xR . e(i) = {0} double right arrow x = 0 (i = 1, 2). In this paper, we aim to characterize the commuting maps. Let phi be a commuting map of R so it is shown that phi(x) = zx + Xi(x) for all x is an element of R, where z is an element of Z(R) and Xi is an additive map from R into Z(R). As a consequence a characterization of anti-commutingmaps is obtained and we provide as an application, a characterization of commuting maps on von Neumann algebras relative alternative C*-algebra with no central summands of type I-1. (AU)

• Processo FAPESP: 19/03655-4 - Estruturas graduadas
• Beneficiário: Ivan Kaygorodov
• Modalidade de apoio: Bolsas no Exterior - Pesquisa