Some New Results on BE-Algebras

Romano, Daniel Abraham

doi:10.28919/cpr-pajm/3-10

Research article

Some New Results on BE-Algebras

Daniel Abraham Romano

Abstract

BE-algebra was introduced in 2007 by H. S. Kim and Y. H. Kim. Then this class of logical algebras was the focus of many researchers. In this paper, the concept of atoms in BE-algebras is introduced and analyzed, and, in addition, it is directly connected to two-membered BE-filters. A criterion was found for determining the existence of atoms in these algebras. In addition to the previous one, the paper designs two types of BE-algebra extensions by adding one element so that the additional element is an atom in it. In addition to the previous one, two new types of filters in BE-algebras are designed.

How to cite

D. A. Romano, Some New Results on BE-Algebras, Pan-Amer. J. Math. 3 (2024), 10. https://doi.org/10.28919/cpr-pajm/3-10

BibTeX

@article{Romano2024,
  author  = {Romano, Daniel Abraham},
  title   = {Some New Results on BE-Algebras},
  journal = {Pan-Amer. J. Math.},
  volume  = {3},
  year    = {2024},
  pages   = {10},
  doi     = {10.28919/cpr-pajm/3-10}
}