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On the Theory of Near Rings: The Theory of Near Rings,Used
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Near rings and near ring modules are the natural nonlinear generalization of rings and ring modules. The first occurrence of nearrings 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 nonabelian homological algebra. The group theoretic connection first appeared in work by H.Neumann 19541956. The theory of d.g near rings received a big boost when A.Frohlich published a series of papers in the period 19581962. In this book In this we study some topics from nearring 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 Mcleavable near rings. chapter three is unit regular near rings. The last chapter is on semi ideals of near rings.
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