On cofinitely weak supplemented modules
Author
Source
The Arabian Journal for Science and Engineering. Section A, Science
Issue
Vol. 34, Issue 1A (31 Jan. 2009), pp.159-164, 6 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2009-01-31
Country of Publication
Saudi Arabia
No. of Pages
6
Main Subjects
Topics
Abstract AR
سوف نثبت - في هذا البحث - أن لمعايير noetherian المحلية شرطاً مكافئا لكونها مصاحبة محدودة ضعيفة الاكتمال, و يكون كل معيار نصف محلي مصاحبا محدودا ضعيف الاحتمال, و لمعيار M ذات الأساس الصغير, و سنثبت أن M ضعيف الاكتمال إذا كان كل معيار دائريا جزئيا ضعيف الاكتمال.
و يكون النطاق التبادلي R نصف محلي h - إذا كان كل معيار R - ملتويا مصاحبا ضعيف الاكتمال.
Abstract EN
-For a locally noetherian module, we prove some conditions equivalent to being cofinitely weak supplemented.
Every semilocal module is cofinitely weak supplemented.
For a module M with small radical, it is shown that M is weakly supplemented if and only if every cyclic submodule has a weak supplement.
A commutative domain R is hsemilocal if and only if every torsion R-module is cofinitely weak supplemented.
AMS 2000 Subject Classification: 13C05, 13C99, 16D10, 16P40
American Psychological Association (APA)
Buyukasık, Engin. 2009. On cofinitely weak supplemented modules. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 34, no. 1A, pp.159-164.
https://search.emarefa.net/detail/BIM-359052
Modern Language Association (MLA)
Buyukasık, Engin. On cofinitely weak supplemented modules. The Arabian Journal for Science and Engineering. Section A, Science Vol. 34, no. 1A (Jan. 2009), pp.159-164.
https://search.emarefa.net/detail/BIM-359052
American Medical Association (AMA)
Buyukasık, Engin. On cofinitely weak supplemented modules. The Arabian Journal for Science and Engineering. Section A, Science. 2009. Vol. 34, no. 1A, pp.159-164.
https://search.emarefa.net/detail/BIM-359052
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 164
Record ID
BIM-359052
