THE STRUCTURE OF DERIVATIONS FROM A FULL MATRIX ALGEBRA INTO ITS DUAL

Document Type: Regular Paper

Authors

1 Department of Mathematics, Shahed University, P. O. Box 18151-159, Tehran, I. R. of Iran

2 Department of Mathematics, Shiraz University, Shiraz 71454, I. R. of Iran

Abstract

Let A be a unital algebra over a field of characteristic zero. We show that every derivation from
( ) n M A into its dual ( ) n M A ∗ is the sum of an inner derivation and a derivation induced by a derivation
from A into A∗

Keywords