On Almost Primary Ideals and Generalized k- Primary Rings:

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

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.
Country USA
Brand LAP Lambert Academic Publishing
Manufacturer LAP LAMBERT Academic Publishing
Binding Paperback
UnitCount 1
EANs 9783848496907
ReleaseDate 0000-00-00

Country	USA
Brand	LAP Lambert Academic Publishing
Manufacturer	LAP LAMBERT Academic Publishing
Binding	Paperback
UnitCount	1
EANs	9783848496907
ReleaseDate	0000-00-00

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