Title of article
On the range of a derivation
Author/Authors
Hosseini، A نويسنده Kashmar Higher Education Institute, Kashmar, Iran Hosseini, A , Hassani، M نويسنده Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran Hassani, M , Niknam، A نويسنده Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran Niknam, A
Issue Information
دوفصلنامه با شماره پیاپی 0 سال 2014
Pages
5
From page
111
To page
115
Abstract
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 (??).
Journal title
Iranian Journal of Science and Technology Transaction A: Science
Serial Year
2014
Journal title
Iranian Journal of Science and Technology Transaction A: Science
Record number
1502643
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