Identities with Kinds of Derivations in Rings: Center-Like Subsets, Generalized Derivations With Hochschild 2-Cocycles, Centrally-Extended Generalized *-Derivations

Nagy Daif, Mohammad/ Hamed Ezzat, Osama/ Nabiel, Hesham

ISBN 10: 6200095337 / ISBN 13: 9786200095336

Published by LAP LAMBERT Academic Publishing, 2019

About this Item

116 pages. 8.66x5.91x0.27 inches. In Stock.

Seller Inventory # zk6200095337

Bibliographic Details

• Title: Identities with Kinds of Derivations in Rings: Center-Like Subsets, Generalized Derivations With Hochschild 2-Cocycles, Centrally-Extended Generalized *-Derivations
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2019
• Language: English
• ISBN 10: 6200095337
• ISBN 13: 9786200095336
• Binding: Paperback
• Condition: Brand New
• Weight: 0.22 kilograms

About this title

Synopsis

The main object of the book is to study specific classes of rings satisfying certain kinds of identities involving several types of derivations. It falls in seven chapters. Chapter 1 is focused on mentioning main definitions and concepts that will be used in the book. Chapter 2 considers specific subsets defined by some conditions which are proved to coincide with the center Z for certain classes of rings endowed with kinds of maps. Chapter 3 is devoted to studying the relationship between generalized derivations associated with Hochschild 2-cocycles and generalized Jordan triple derivations associated with Hochschild 2-cocycles. The contents of Chapter 4 are motivated by a recent work due to Bell and Daif in 2016 who introduced the concept of centrally-extended derivations and centrally-extended endomorphisms on rings. Chapter 5 studies some classes of *-rings admitting various types of *-maps. Chapter 6 continues the studying of some types of mappings f satisfying the identity f^2(x) = x where x is an element in a specific subset of the ring. Involutions are much studied examples. Chapter 7 discusses the commutativity of a prime ring satisfies the identity (F(x∘y))^m= (x∘y)^n.