Some generalizations of semisimple gamma rings
Other Title(s)
بعض التعميمات للمقاسات شبه البسيطة من نمط كاما
Joint Authors
al-Saidi, Sad Abd al-Kazim
Abbas, Mahdi Sadiq
Shallal, Imad Allawi
Source
Issue
Vol. 58, Issue 3C (30 Sep. 2017), pp.1720-1728, 9 p.
Publisher
University of Baghdad College of Science
Publication Date
2017-09-30
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Engineering & Technology Sciences (Multidisciplinary)
Abstract EN
In this paper we introduce and study the concepts of semisimple gamma modules , regular gamma modules and fully idempotent gamma modules as a generalization of semisimple Γ-ring.
An R_Γ-module M is called fully R_Γ-idempotent (semisimple , regular) if N=(N:_(R_Γ ) M)ΓN for all R_Γ-submodule N of M (every R_Γ-submodule is a direct summand, for each m∈M, there exists fHom_(R_Γ ) (M,R) and γΓ such that m=f(m)γm.
We study some properties and relationships between them.
American Psychological Association (APA)
Abbas, Mahdi Sadiq& al-Saidi, Sad Abd al-Kazim& Shallal, Imad Allawi. 2017. Some generalizations of semisimple gamma rings. Iraqi Journal of Science،Vol. 58, no. 3C, pp.1720-1728.
https://search.emarefa.net/detail/BIM-793835
Modern Language Association (MLA)
Abbas, Mahdi Sadiq…[et al.]. Some generalizations of semisimple gamma rings. Iraqi Journal of Science Vol. 58, no. 3C (2017), pp.1720-1728.
https://search.emarefa.net/detail/BIM-793835
American Medical Association (AMA)
Abbas, Mahdi Sadiq& al-Saidi, Sad Abd al-Kazim& Shallal, Imad Allawi. Some generalizations of semisimple gamma rings. Iraqi Journal of Science. 2017. Vol. 58, no. 3C, pp.1720-1728.
https://search.emarefa.net/detail/BIM-793835
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 1728
Record ID
BIM-793835