On the Theory of Near Rings
The Theory of Near Rings
Near- rings and near -ring modules are the natural non-linear generalization of rings and ring modules.
The first occurrence of near-rings was in 1905 when Dickson introduced near fields.
Near -rings are very closely related to the theory of varieties of groups, and have applications in non-abelian homological algebra.
The group -theoretic connection first appeared in work by H.Neumann 1954-1956.
The theory of d.g near rings received a big boost when A.Frohlich published a series of papers in the period 1958-1962.
In this book In this we study some topics from near-ring theory.
This book contains five chapters.
Chapter zero is an introduction.In chapter one we discuss some problems in matrix near rings.In chapter two we introduce the concept of M-cleavable near rings.
chapter three is unit regular near rings.
The last chapter is on semi ideals of near rings.