Characterizations of Belligerent Interior GE-Filters in GE-Algebras

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

doi:10.28919/cpr-pajm/2-8

Research article

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.

How to cite

D. A. Romano, R. Bandaru, S.-Z. Song, Y. B. Jun, Characterizations of Belligerent Interior GE-Filters in GE-Algebras, Pan-Amer. J. Math. 2 (2023), 8. https://doi.org/10.28919/cpr-pajm/2-8

BibTeX

@article{Romano2023,
  author  = {Romano, Daniel A. and Bandaru, Ravikumar and Song, Seok-Zun and Jun, Young Bae},
  title   = {Characterizations of Belligerent Interior GE-Filters in GE-Algebras},
  journal = {Pan-Amer. J. Math.},
  volume  = {2},
  year    = {2023},
  pages   = {8},
  doi     = {10.28919/cpr-pajm/2-8}
}