On (σ, τ)-derivations and commutativity of prime and semi prime Γ-rings
Other Title(s)
حول الاشتقاقات-(σ, τ) و الإبدالية على الحلقات الأولية و شبه الأولية من النمط
Author
Source
Issue
Vol. 13, Issue 1 (31 Mar. 2016), pp.198-203, 6 p.
Publisher
University of Baghdad College of Science for Women
Publication Date
2016-03-31
Country of Publication
Iraq
No. of Pages
6
Main Subjects
Topics
Abstract EN
Let R be a Г-ring, and σ, τ be two automorphisms of R.
An additive mapping d from a Γ-ring R into itself is called a (σ,τ)-derivation on R if d(aαb) = d(a)α σ(b) + τ(a)αd(b), holds for all a,b ∈R and α∈Γ.
d is called strong commutativity preserving (SCP) on R if [d(a), d(b)]α = [ ] ( ) holds for all a,b∈R and α∈Γ.
In this paper, we investigate the commutativity of R by the strong commutativity preserving (σ,τ)-derivation d satisfied some properties, when R is prime and semi prime Г-ring.
American Psychological Association (APA)
Ibrahim, Afrah Muhammad. 2016. On (σ, τ)-derivations and commutativity of prime and semi prime Γ-rings. Baghdad Science Journal،Vol. 13, no. 1, pp.198-203.
https://search.emarefa.net/detail/BIM-688247
Modern Language Association (MLA)
Ibrahim, Afrah Muhammad. On (σ, τ)-derivations and commutativity of prime and semi prime Γ-rings. Baghdad Science Journal Vol. 13, no. 1 (2016), pp.198-203.
https://search.emarefa.net/detail/BIM-688247
American Medical Association (AMA)
Ibrahim, Afrah Muhammad. On (σ, τ)-derivations and commutativity of prime and semi prime Γ-rings. Baghdad Science Journal. 2016. Vol. 13, no. 1, pp.198-203.
https://search.emarefa.net/detail/BIM-688247
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 202-203
Record ID
BIM-688247