Pseudo subalgebras and pseudo filters in pseudo BE-algebrasopen access
- Authors
- Ahn, Sun Shin; Seo, Young Joo; Jun, Young Bae
- Issue Date
- Feb-2023
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- (atomic) pseudo BE-algebra; pseudo subalgebra; (atomic) pseudo filter; pseudo atom
- Citation
- AIMS MATHEMATICS, v.8, no.2, pp 4964 - 4972
- Pages
- 9
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS MATHEMATICS
- Volume
- 8
- Number
- 2
- Start Page
- 4964
- End Page
- 4972
- URI
- https://scholarworks.gnu.ac.kr/handle/sw.gnu/68705
- DOI
- 10.3934/math.2023248
- ISSN
- 2473-6988
2473-6988
- 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.
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