TY - JOUR
ID - 1991
TI - On the range of a derivation
JO - Iranian Journal of Science and Technology (Sciences)
JA - IJSTS
LA - en
SN - 1028-6276
AU - Hosseini, A.
AU - Hassani, M.
AU - Niknam, A.
AD - Kashmar Higher Education Institute, Kashmar, Iran
AD - Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Y1 - 2014
PY - 2014
VL - 38
IS - 2
SP - 111
EP - 115
KW - derivation
KW - derivation generator
KW - pre-prime ideal
KW - zero prime
KW - property (B)
DO - 10.22099/ijsts.2014.1991
N2 - Let be a Banach algebra and a derivation. In this paper, it is proved, under certain conditions, that , where is the Jacobson radical of . Moreover, we prove that if is unital and is a continuous derivation, then , where denotes the set of all primitive ideals such that is commutative, denotes the set of all maximal (modular) ideals such that is commutative, and is the set of all non-zero multiplicative linear functionals from into . In addition, we present several results about the range of a derivation on algebras having the property ( ).
UR - http://ijsts.shirazu.ac.ir/article_1991.html
L1 - http://ijsts.shirazu.ac.ir/article_1991_2ee537de808431839effb9ccde9e2395.pdf
ER -