On ECG-extending and ECG-quasi-continuous modules

Joint Authors

Zhongkui, Liu
Yanjun, Du

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

Mathematics

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