Browsing by Author "Teshome, Dereje"

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    On Strongly Regular near rings
    (Addis Ababa University, 2016-07) Teshome, Dereje; Yitayew, Yibeltal (PhD)
    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.