Characterizations of Belligerent Interior GE-Filters in GE-Algebras

Abstract

The notion of GE-algebra is introduced by Bandaru et al. as a generalization of Hilbert algebra. The consept of interior GE-algebra is introduced by Lee et al., and related properties are investigated. GE-filter study at GE-algebra using interior operator was conducted by Song et al. In this paper, various properties that belligerent interior GE-filter could perform were explored, and necessary conditions have been established for interior GE-filter to turn into belligerent interior GE-filter. As a result, the characterization of belligerent interior GE-filter was established.