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Document Details
Document Type
:
Article In Journal
Document Title
:
Structure of periodic rings and certain nearrings
هيكل من حلقات دورية وقرب الخواتم معينة
Subject
:
Algebra-Near ring
Document Language
:
English
Abstract
:
In the present paper, we first establish, in Section 2, some de- composition theorems for rings and its subsets (see Theorem 2.1 and Theorem 2.2, for details). Secondly, in Section 3, certain near rings satisfying one of the defined properties (C) to (C5), under appropriate conditions such near rings are in fact shown to be commutative. Thirdly, in Section 4, it is proved that any near ring is decomposable into a direct sum of special sub near rings and the Pierce-decomposition for rings is generalized. Finally, in Section 5, we provide some counterexamples which show that hypotheses of our theorems are not altogether superfluous.
ISSN
:
1319-0989
Journal Name
:
Arts and Humanities Journal
Volume
:
25
Issue Number
:
3
Publishing Year
:
1426 AH
2005 AD
Article Type
:
Article
Added Date
:
Saturday, January 8, 2011
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
محرم علي خان
Khan, Moharram Ali
Researcher
Doctorate
mkhan91@gmail.com
Files
File Name
Type
Description
28568.pdf
pdf
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