On the Theory of Near Rings - Yunis Abdelwanis, Ahmed
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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…mehr

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Produktbeschreibung
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.
Autorenporträt
I am Ahmed Yunis Abdelwanis assistant professor of department of mathematics-Faculty of Science-Cairo University. I love my father and my wife very much.