Generalized skew derivations characterized by acting on zero product
Journal
Pacific Journal of Mathematics
Journal Volume
216
Journal Issue
2
Pages
293-301
Date Issued
2004
Author(s)
Abstract
Let A be a prime ring whose symmetric Martindale quotient ring contains a nontrivial idempotent. Generalized skew derivations of A are characterized by acting on zero products. Precisely, if g, : A A are additive maps such that (x)g(y) + (x)y = 0 for all x, y A with xy = 0, where is an automorphism of A, then both g and are characterized as specific generalized -derivations on a nonzero ideal of A.
Type
journal article