Some new results on normal BH-algebras
DOI:
https://doi.org/10.31926/but.mif.2025.5.67.1.16Keywords:
BH-algebra, normal BH-algebra, atoms in BH-algebraAbstract
The concept of BH-algebra was introduced in 1998 by Y. B. Jun, E. H. Roh, and H. S. Kim as a generalization of BCH/BCI/BCK-algebras. The same authors launched the idea of a normal BH-algebra at the end of the last century. This paper discusses the concept of atoms in normal BH-algebras. Thus, some conditions were found that they ensure the existence of such elements. Also, the extension of a normal BH-algebra A to the normal BHalgebra A ∪ {a} is considered so that the element a is an atom in A ∪ {a}.
