Browsing by Author "Aklilu, Girum"

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    Graduate Seminar Report on Regular Perturbation Theory
    (Addis Ababa University, 2003-06) Aklilu, Girum; Murthy, S.N. (Prof.)
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    On the Theory of BRK-Algebras
    (Addis Ababa University, 2018-12-01) Aklilu, Girum
    The notion of BRK-algebras were introduced by Ravi Kumar Ban- daru in 2012 as a generalization of BCK/BCI/BCH/Q-algebras. He obtained some properties of BRK-algebras by introducing the classi- cal notions such as subalgebras and ideals. In this thesis we further investigate the properties of BRK-algebras by considering homo- morphisms, right maps, left maps and multipliers. We construct Quotient BRK-algebra using a special type of ideal called transla- tion ideal. Moreover we introduce two new sub classes of BRK- algebras, namely anti-symmetric BRK-algebras and weak positive implicative BRK-algebras that have special properties. Finally we have proved that nite direct product of BRK-algebras is again a BRK-algebra and obtained certain properties.