On Strongly Regular Near Rings
Mathematics Project Topics
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As the name suggests,a near-ring is a generalized ring more precisely the commutativityrnof addition is not required and just one of the distributive laws is postulated.Manyrnparts of the well established theory of rings were transferred to near-rings and nowrnnear-ring speci_c features were discovered,building up a theory of near-rings step byrnstep.Clearly,every ring is a near-ring.But we can give examples of near-rings whichrnare not rings.The most common example is the set of all mappings of a group (notrnnecessarily abelian) into itself,under point wise addition and composition of maps.Thernpresent study focusses mainly on strongly regular near-rings.An attempt is made inrnthis paper to concentrate on characterizations and generalizations of strongly regularrnnear-rings.
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