Characterizations of Belligerent Interior GE-Filters in GE-Algebras

Daniel A. Romano, Ravikumar Bandaru, Seok-Zun Song, Young Bae Jun

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.

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Pan-Amer. J. Math. 2 (2023), 8
DOI: https://doi.org/10.28919/cpr-pajm/2-8
This article was published on June 1, 2023 by Mathyze, under a Creative Commons Attribution 4.0 International License.