Strongly derivation pairs on prime and semi prime rings

العناوين الأخرى

الاشتقاقات المزدوجة القوية في الحلقات الأولية وشبه الأولية

مقدم أطروحة جامعية

Yass, Shayma Badr

مشرف أطروحة جامعية

Majid, Abd al-Rahman Hamid

الجامعة

جامعة بغداد

الكلية

كلية العلوم

القسم الأكاديمي

قسم الرياضيات

دولة الجامعة

العراق

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2010

الملخص الإنجليزي

Let R be an associative ring.

The main purpose of this work: Firstly; studying the commutativity of prime rings under certain conditions, it comes through (i) Studying generalized derivations and giving a result similar to Ashraf et al., but in different conditions, (ii) Extending the notation of the generalized derivation, to, two generalized derivations associated with the same derivation, as a new idea.

Secondly; studying the commutativity of semiprime rings under certain conditions, it comes through (i) Introducing the definition of generalized left derivation (generalized Jordan left derivation) associated with left derivation, as a special case, of the definition that introduced by Ashraf and Ali, (ii) Introducing and studying the concept of generalized reverse derivation, through this study, we generalize Samman's and Al- Yamani's theorem and, Daif's and Bell's theorem, for a generalized reverse derivation.

Thirdly; presenting the definition of strongly derivation pair and Jordan strongly derivation pair on a ring R, and studying the relation between them.

Also, we study prime rings, semiprime rings, and rings that have commutator left nonzero divisors with strongly derivation pairs, to obtain the notation of derivations.

التخصصات الرئيسية

الرياضيات

الموضوعات

• الرياضيات
• التحليل الرياضي
• الجبر
• الحقول الجبرية

عدد الصفحات

96

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-602250