فئة المثاليات في حلقة R
Other Title(s)
Category of ideals in a ring R
Joint Authors
Source
مجلة جامعة دمشق للعلوم الأساسية
Issue
Vol. 28, Issue 1 (30 Jun. 2012), pp.225-240, 16 p.
Publisher
Publication Date
2012-06-30
Country of Publication
Syria
No. of Pages
16
Main Subjects
Abstract EN
In this scientific paper we dealt with three different types of homomorphisms between two given ideals in a ring with unity shown as follows: ring homomorphism, R- module homomorphism and ideal homomorphism, which were supported by several examples.
Furthermore, we prove that the family of ideals in a ring R with ring, R - module and ideal homomorphisms forms the category of ideals of the first, second and third type, respectively.
The next step was dedicated to support all previous ideals by examples and functor between such categories.
Finally, using the properties of ideals we prove that for two isomorphic rings R = S then I3R, the category of ideals in /?of the third type is isomorphic with I3R , moreover I3R*5 = I3R* I3S
American Psychological Association (APA)
شحادة، حورية وفرحان إسماعيل. 2012. فئة المثاليات في حلقة R. مجلة جامعة دمشق للعلوم الأساسية،مج. 28، ع. 1، ص ص. 225-240.
https://search.emarefa.net/detail/BIM-750301
Modern Language Association (MLA)
شحادة، حورية وفرحان إسماعيل. فئة المثاليات في حلقة R. مجلة جامعة دمشق للعلوم الأساسية مج. 28، ع. 1 (2012)، ص ص. 225-240.
https://search.emarefa.net/detail/BIM-750301
American Medical Association (AMA)
شحادة، حورية وفرحان إسماعيل. فئة المثاليات في حلقة R. مجلة جامعة دمشق للعلوم الأساسية. 2012. مج. 28، ع. 1، ص ص. 225-240.
https://search.emarefa.net/detail/BIM-750301
Data Type
Journal Articles
Language
Arabic
Notes
يتضمن مراجع ببليوجرافية : ص. 240
Record ID
BIM-750301