Additive mappings on prime and semi prime rings with involution

العناوين الأخرى

الدول الجمعية في الحلقات الأولية و شبه الأولية مع دالة الالتفاف

مقدم أطروحة جامعية

Ubayd, Ali Abd

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

2009

الملخص الإنجليزي

Let R be an associative *-ring.

In this work, new additive mappings are presented, such as Jordan *-centralizers, reverse *-centralizers and *- derivation pairs.

Also some new concepts, which concerning these new mappings, and also we will give some necessary remarks and examples that illustrate these concepts. It is known that, one of the most important problems in the studying of ring theory is, whether the ring which we consider is commutative or not, so a part of our aim here in this work is to study these algebraic structures by classifying their properties and looking for these conditions under which R become commutative *-rings or normal *-rings. Also we have studied the relations of these new structures on semiprime *-rings and prime *-rings, several theorems, lemmas and corollaries are proved and many conditions are given each of which makes the *-ring R commutative or normal.

التخصصات الرئيسية

الرياضيات

الموضوعات

• الرياضيات
• الحقول الجبرية

عدد الصفحات

104

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-602081