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

Ahmed, Chwas; Jabbar, Adil

Softcover

ISBN 10: 3848496909 ISBN 13: 9783848496907

Publisher: 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.

About this title

About the Author

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.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2012
• Language: English
• ISBN 10: 3848496909
• ISBN 13: 9783848496907
• Binding: Paperback
• Number of pages: 92