On essential (complement) submodules with respect to an arbitrary submodule
Other Title(s)
حول المقاسات الجزئية الجوهرية (المكملة) نسبة إلى مقاس جزئي عشوائي
Joint Authors
al-Zahiri, Intisar Ahmad
al-Bahrani, Bahar Hamad Ahmad
Source
Issue
Vol. 59, Issue 2B (30 Jun. 2018), pp.904-908, 5 p.
Publisher
University of Baghdad College of Science
Publication Date
2018-06-30
Country of Publication
Iraq
No. of Pages
5
Main Subjects
Abstract EN
In this paper we Proved other properties of essential and complement submodules to an arbitrary submodule of an R-module M .We prove that for a family {Mα}α εʌ of modules .
If Tα and Nα are submodules of Mα with N α +T α ≤ T α-e M α ,∀ α, then ⨁αεʌ (Nα + Tα) ≤ ⨁ α εʌ Tα –e ⨁α εʌ Mα.
Also we show that for submodules T, A, B and C of a module M such that T ≤ A ≤ C.
If B is T- c for A in M and C is T- c for B in M , then C is maximal T- essential extension of A in M .
American Psychological Association (APA)
al-Zahiri, Intisar Ahmad& al-Bahrani, Bahar Hamad Ahmad. 2018. On essential (complement) submodules with respect to an arbitrary submodule. Iraqi Journal of Science،Vol. 59, no. 2B, pp.904-908.
https://search.emarefa.net/detail/BIM-838060
Modern Language Association (MLA)
al-Zahiri, Intisar Ahmad& al-Bahrani, Bahar Hamad Ahmad. On essential (complement) submodules with respect to an arbitrary submodule. Iraqi Journal of Science Vol. 59, no. 2B (2018), pp.904-908.
https://search.emarefa.net/detail/BIM-838060
American Medical Association (AMA)
al-Zahiri, Intisar Ahmad& al-Bahrani, Bahar Hamad Ahmad. On essential (complement) submodules with respect to an arbitrary submodule. Iraqi Journal of Science. 2018. Vol. 59, no. 2B, pp.904-908.
https://search.emarefa.net/detail/BIM-838060
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 908
Record ID
BIM-838060