Title |
A Topology on a Hyper BCI- algebra Generated by a Hyperorder
**Posted by** Sergio Jr. Canoy |

Authors |
Canoy, Sergio Jr. ; Panganduyon, Michelle; Davvaz, Bivan |

Abstract |
In this paper, we introduce an operator on a hyper BCI-algebra via application of a left hyperorder. The family consisting of the images of subsets under the operator turns out to ba a base.for aome topologu on the hyper BCI-algebra. We investigate so important properties of the induced topology on certain hyper BCI- algebras. In particular, we show thaat the generated topology on a non- trivial hyper BCI-algebra of an ordered hyper NCI- algebra coincides with the relative topology on this hyper subalgebra. |

Index terms / Keywords |
hyper.NCI- algebra, topology, hyperorder, hyperatom |