@article{Ahn2023, 
author = {Sun Shin Ahn and Young Joo Seo and Young Bae Jun},
title = {Pseudo subalgebras and pseudo filters in pseudo BE-algebras},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {2},
pages = {4964-4972},
keywords = {(atomic) pseudo BE-algebra, pseudo subalgebra, (atomic) pseudo filter, pseudo atom},
url = {https://www.sciopen.com/article/10.3934/math.2023248},
doi = {10.3934/math.2023248},
abstract = {As a generalization of BE-algebras, the pseudo BE-algebra was introduced by Borzooei et al., and the notions of pseudo subalgebras and pseudo filters in pseudo BE-algebras were defined, and some related properties were investigated. In order to further study pseudo subalgebras and pseudo filters in pseudo BE-algebras, concepts of pseudo atom, atomic pseudo BE-algebra, and atomic pseudo filter are introduced and related studies are conducted. The conditions under which pseudo-filters can be created using a nonempty set, and the conditions under which non-unit elements can be pseudo-atoms are explored. Characterization of atomic pseudo BE-algebra is discussed, and conditions are provided under which pseudo subalgebra can be pseudo filters. The relationship between a set of pseudo atoms and a pseudo subalgebra is considered, and the conditions under which a pseudo filter can be atomic are found.}
}