On Skew-Supercommuting Maps in Superalgebras

Abstract

Let A be a semiprime superalgebra over a commutative ring F with 1 2 and f : A → A a skewsupercommuting map on A. We show that f = 0. This gives a version of Brešar's theorem for superalgebras.2000 Mathematics subject classification: primary 17A70; secondary 16N60.