On the Theory of BRK-Algebras
| dc.contributor.author | Aklilu, Girum | |
| dc.date.accessioned | 2019-05-04T21:09:30Z | |
| dc.date.accessioned | 2023-11-04T12:30:49Z | |
| dc.date.available | 2019-05-04T21:09:30Z | |
| dc.date.available | 2023-11-04T12:30:49Z | |
| dc.date.issued | 2018-12-01 | |
| dc.description.abstract | 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. | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/18185 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | BRK-Algebras | en_US |
| dc.subject | BCI-Algebra | en_US |
| dc.subject | Subalgebras | en_US |
| dc.title | On the Theory of BRK-Algebras | en_US |
| dc.type | Thesis | en_US |