Commutativity of Rings with Derivations

Mohammad Nagy Daif

ISBN 10: 3659543942 / ISBN 13: 9783659543944

Published by LAP LAMBERT Academic Publishing, 2014

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - The scope of this research algebra book is intended for a highly completed knowledge in the topic of commutativity of associative rings with ordinary derivations. The study of this theme has been begun in 1957 by Posner and has been followed by many authors through studying different algebraic conditions. This book contains six chapters. Chapter one is devoted to review briefly the terminology and the technical language that are basic to the understanding of the book. Chapter two deals with second classical theorem of Posner on prime rings with derivations and its diverse generalizations. Chapter three concerns with the commutativity of prime and semiprime rings endowed with derivations, begining with a classical result due to Herstein on derivations in prime rings. Chapter four focuses on the study of the commutativity of prime rings with involution. Chapter five concerns with commutativity in semiprime rings admitting derivations, starting with classical theorems of Daif and Bell. Chapter six presents new results that have been obtained during the preparation of the book.

Seller Inventory # 9783659543944

Bibliographic Details

• Title: Commutativity of Rings with Derivations
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2014
• Language: English
• ISBN 10: 3659543942
• ISBN 13: 9783659543944
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 11D millimeters 220 millimeters width by 150 millimeters height by 11 millimeters depth
• Weight: 274 grams

About this title

Synopsis

The scope of this research algebra book is intended for a highly completed knowledge in the topic of commutativity of associative rings with ordinary derivations. The study of this theme has been begun in 1957 by Posner and has been followed by many authors through studying different algebraic conditions. This book contains six chapters. Chapter one is devoted to review briefly the terminology and the technical language that are basic to the understanding of the book. Chapter two deals with second classical theorem of Posner on prime rings with derivations and its diverse generalizations. Chapter three concerns with the commutativity of prime and semiprime rings endowed with derivations, begining with a classical result due to Herstein on derivations in prime rings. Chapter four focuses on the study of the commutativity of prime rings with involution. Chapter five concerns with commutativity in semiprime rings admitting derivations, starting with classical theorems of Daif and Bell. Chapter six presents new results that have been obtained during the preparation of the book.

About the Author

Mohammad Nagy Daif, Professor of Pure Mathematics,AL-Azhar University, Egypt. Badriah saleh Al-Juaid, Lecturer of pure Mathematics, branch Taif University in Raniah, Kingdom of Saudi Arabia.