R-annihilator-small submodules
Other Title(s)
المقاسات الجزئية الصغيرة من النمط تالف R
Joint Authors
al-Bahrani, Bahar Hamad Ahmad
al-Hurmuzi, Halah Qahtan Hamdi
Source
Issue
Vol. 57, Issue (sA) (31 Dec. 2016), pp.129-133, 5 p.
Publisher
University of Baghdad College of Science
Publication Date
2016-12-31
Country of Publication
Iraq
No. of Pages
5
Main Subjects
Topics
Abstract EN
Let R be an associative ring with identity and let M be a unitary left R- module .We call a submodule K of M , R-annihilator-small if K+T=M ,where T is a submodule of M , implies that ann(T)=0, where ann(T) indicates annihilator of T in R .The sum AM of all such submodules of M contains the Jacobson radical J(M) and the singular submodule Z(M).When M is finitly generated and faithful, we study AM and KM in this paper .Conditions when AM is R-annihilator-small and KM=AM, J(M) £ AM and Z(M) £ AM are given.
American Psychological Association (APA)
al-Hurmuzi, Halah Qahtan Hamdi& al-Bahrani, Bahar Hamad Ahmad. 2016. R-annihilator-small submodules. Iraqi Journal of Science،Vol. 57, no. (sA), pp.129-133.
https://search.emarefa.net/detail/BIM-759756
Modern Language Association (MLA)
al-Hurmuzi, Halah Qahtan Hamdi& al-Bahrani, Bahar Hamad Ahmad. R-annihilator-small submodules. Iraqi Journal of Science Vol. 57, no. (sA) (2016), pp.129-133.
https://search.emarefa.net/detail/BIM-759756
American Medical Association (AMA)
al-Hurmuzi, Halah Qahtan Hamdi& al-Bahrani, Bahar Hamad Ahmad. R-annihilator-small submodules. Iraqi Journal of Science. 2016. Vol. 57, no. (sA), pp.129-133.
https://search.emarefa.net/detail/BIM-759756
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 133
Record ID
BIM-759756