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Prime and Semiprime Rings Endowed With Some Kinds of Mappings



Год выпуска: 2010
Автор: M. S. TAMMAM El-Sayiad,M. N. Daif and I. R. Hentzel
Издательство: LAP Lambert Academic Publishing
Страниц: 156
ISBN: 9783843365734
Описание
This advanced algebra book deals with derivations, generalized derivations, centralizers and theta-centralizers. It studies prime and semiprime rings. It has seven chapters. Chapter one gives the preliminaries on derivations, generalized derivations, centralizers and theta centralizers. Chapter two presents additivity results for multiplicative generalized derivations and multiplicative left centralizers. Chapter three extends Posner''s first Theorem with generalized derivations on Lie ideals in prime rings. Chapter four presents a proof which shows that in a semiprime ring, under some conditions, any Jordan generalized derivation must be a generalized derivation. We include identities which force additive mappings to be generalized derivations and Jordan *-generalized derivation, where * is the involution mapping. Chapter five characterizes rings with a Jordan centralizer . Chapter six displays the identities which force additive mappings to be theta-centralizers. Chapter seven...


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