Let A be a unital associative ring and M be a 2-torsion free Abimodule. Using an elementary and constructive method we show that every Jordan derivation from M n (A) into M n (M) is a derivation.
Derivations for a class of matrix function algebras
โ Scribed by Benton L. Duncan
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 151 KB
- Volume
- 422
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Necessary and sufficient conditions for all the derivations of a finite dimensional simple nonassociative algebra, over a field of characteristic zero, to be inner are given in terms of the Lie multiplication algebra and the trace of the derivations. 1994 Academic Press, Inc.
We introduce a new category of Banach algebras, l 1 -Munn algebras which we use as a tool in the study of semigroup algebras. Then we characterize amenable l 1 -Munn algebras and also semisimple ones in this category. Applying these results to the semigroup algebras provides some characterizations o