On Strongly Regular near rings
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Date
2016-07
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Addis Ababa University
Abstract
As the name suggests,a near-ring is a generalized ring more precisely the commutativity
of addition is not required and just one of the distributive laws is postulated.Many
parts of the well established theory of rings were transferred to near-rings and now
near-ring speci_c features were discovered,building up a theory of near-rings step by
step.Clearly,every ring is a near-ring.But we can give examples of near-rings which
are not rings.The most common example is the set of all mappings of a group (not
necessarily abelian) into itself,under point wise addition and composition of maps.The
present study focusses mainly on strongly regular near-rings.An attempt is made in
this paper to concentrate on characterizations and generalizations of strongly regular
near-rings.
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On Strongly Regular near rings