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

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

 
9786200095336: Identities with Kinds of Derivations in Rings: Center-Like Subsets, Generalized Derivations With Hochschild 2-Cocycles, Centrally-Extended Generalized *-Derivations
Softcover
ISBN 10: 6200095337 ISBN 13: 9786200095336
Verlag: LAP LAMBERT Academic Publishing, 2019

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Mohammad Nagy Daif, Professor of Mathematics, Al-Azhar University, Cairo, Egypt;Osama Hamed Ezzat, Lecturer of Mathematics, Al-Azhar University, Cairo, Egypt;Hesham Nabiel, Lecturer of Mathematics, Al-Azhar University, Cairo, Egypt.

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Verlag
LAP LAMBERT Academic Publishing
Erscheinungsdatum
2019
Sprache
Englisch
ISBN 10 
6200095337
ISBN 13 
9786200095336
Einband
Taschenbuch
Anzahl der Seiten
116
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Fastbook Publishing
customerservice@vdm-vsg.de

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Riga
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