Reverse derivations with invertible values
Other Title(s)
الاشتقاقات العكسية مع القيم العكسية
Joint Authors
Hamil, Shahd Ali
Majid, Abd al-Rahman Hamid
Source
Issue
Vol. 55, Issue 4B (31 Dec. 2014), pp.1953-1961, 9 p.
Publisher
University of Baghdad College of Science
Publication Date
2014-12-31
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Abstract EN
In this paper, we will prove the following theorem, Let R be a ring with 1 having a reverse derivation d ≠ 0 such that, for each x R, either d(x) = 0 or d(x) is invertible in R, then R must be one of the following: (i) a division ring D, (ii) D , the ring of 2×2 matrices over D, (iii) D[x]/(x where char D = 2, d (D) = 0 and d(x) = 1 + ax for some a in the center Z of D.
Furthermore, if 2R ≠ 0 then R = D is possible if and only if D does not contain all quadratic extensions of Z, the center of D.
American Psychological Association (APA)
Hamil, Shahd Ali& Majid, Abd al-Rahman Hamid. 2014. Reverse derivations with invertible values. Iraqi Journal of Science،Vol. 55, no. 4B, pp.1953-1961.
https://search.emarefa.net/detail/BIM-955576
Modern Language Association (MLA)
Hamil, Shahd Ali& Majid, Abd al-Rahman Hamid. Reverse derivations with invertible values. Iraqi Journal of Science Vol. 55, no. 4B (2014), pp.1953-1961.
https://search.emarefa.net/detail/BIM-955576
American Medical Association (AMA)
Hamil, Shahd Ali& Majid, Abd al-Rahman Hamid. Reverse derivations with invertible values. Iraqi Journal of Science. 2014. Vol. 55, no. 4B, pp.1953-1961.
https://search.emarefa.net/detail/BIM-955576
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 1961
Record ID
BIM-955576