On ECG-extending and ECG-quasi-continuous modules
Joint Authors
Source
The Arabian Journal for Science and Engineering. Section A, Science
Issue
Vol. 27, Issue 1A (31 Jan. 2002), pp.115-120, 6 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2002-01-31
Country of Publication
Saudi Arabia
No. of Pages
6
Main Subjects
Abstract AR
نبرهن على أن نظام - R في M الشمالي و الذي لا يحتوي على نقاط شاذة يكون (نيوثريان) فقط و إذا فقط كان ل M أبعاد منتظمة محدة, و أن المجموع المباشر لكل تجمع معدود من مدخل - M من نظام - R في [M] يكون مادا ل ecg.
كما بينا أن نظام R - في M الشمالي من ecg - شبه الممتد يكون له تراكبات غير قابلة للتحلل فقط إذا كان اتحاد أي سلسلة من المجاميع المباشرة المحلية ل M جمعا مباشرا لمعدود ناتج عن أنظمة فرعية.
Abstract EN
It is shown that a finitely generated non-M-singular left R-module M is noetherian if and only if M has finite uniform dimension and the direct sum of every countable collection of M-injective left R-modules in σ [M] is ecg-extending.
It is also shown that an ecgquasi- continuous left R-module M has indecomposable decomposition if the union of any chain of local direct summands of M is a direct sum of countably generated submodules.
American Psychological Association (APA)
Zhongkui, Liu& Yanjun, Du. 2002. On ECG-extending and ECG-quasi-continuous modules. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 27, no. 1A, pp.115-120.
https://search.emarefa.net/detail/BIM-360238
Modern Language Association (MLA)
Zhongkui, Liu& Yanjun, Du. On ECG-extending and ECG-quasi-continuous modules. The Arabian Journal for Science and Engineering. Section A, Science Vol. 27, no. 1A (Jan. 2002), pp.115-120.
https://search.emarefa.net/detail/BIM-360238
American Medical Association (AMA)
Zhongkui, Liu& Yanjun, Du. On ECG-extending and ECG-quasi-continuous modules. The Arabian Journal for Science and Engineering. Section A, Science. 2002. Vol. 27, no. 1A, pp.115-120.
https://search.emarefa.net/detail/BIM-360238
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 120
Record ID
BIM-360238
