On Almost Primary Ideals and Generalized k- Primary Rings: Classification of Certain Types of Ideals and Rings - Couverture souple

Ahmed, Chwas; Jabbar, Adil

 
9783848496907: On Almost Primary Ideals and Generalized k- Primary Rings: Classification of Certain Types of Ideals and Rings
Couverture souple
ISBN 10 : 3848496909 ISBN 13 : 9783848496907
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

The aim of this book is to study some algebraic concepts such as, almost prime ideals, generalized left and right primary rings and give some generalizations of them. Also Some new algebraic structures are introduced such as, almost primary ideals, generalized k-primary ideals (g.k.p. ideals), generalized k-primary rings (g.k.p. rings), principal generalized k-primary ideals (p.g.k.p. ideals), principal generalized k-primary rings (p.g.k.p. rings), completely generalized k-primary ideals (c.g.k.p. ideals), completely generalized k-primary rings (c.g.k.p. rings). Several properties of these new algebraic structures are proved and many characterizations of them are given. Also, some conditions are obtained which make two types or more of these new concepts equivalent. Finally, the relationships of these new algebraic structures with prime rings, semiprime rings, reduced rings and strongly regular rings are studied and some results are proved.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The aim of this book is to study some algebraic concepts such as, almost prime ideals, generalized left and right primary rings and give some generalizations of them. Also Some new algebraic structures are introduced such as, almost primary ideals, generalized k-primary ideals (g.k.p. ideals), generalized k-primary rings (g.k.p. rings), principal generalized k-primary ideals (p.g.k.p. ideals), principal generalized k-primary rings (p.g.k.p. rings), completely generalized k-primary ideals (c.g.k.p. ideals), completely generalized k-primary rings (c.g.k.p. rings). Several properties of these new algebraic structures are proved and many characterizations of them are given. Also, some conditions are obtained which make two types or more of these new concepts equivalent. Finally, the relationships of these new algebraic structures with prime rings, semiprime rings, reduced rings and strongly regular rings are studied and some results are proved.

Biographie de l'auteur

Chwas A. Ahmed has obtained M. Sc. degree in Algebra, in 2010, under supervision of the second author; the present book is his M. Sc. Thesis. He is interested in Algebra.Assistant Professor Dr. Adil K. Jabbar has obtained his Ph.D. degree in Algebra, in 2007. He has Published 17 papers in Algebra and supervised 5 projects in M.Sc. and Ph.D.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3848496909
ISBN 13 
9783848496907
Reliure
Broché
Nombre de pages
92
Coordonnées du fabricant
non disponible
Personne responsable
KreGa Onlinehandel GmbH
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