Abstract
The purpose of this paper was to introduce the concept of “OBCI-algebras” as a partially ordered generalization of BCI-algebras. The notion of OBCI-algebras was introduced, and related properties were investigated. The notions of OBCI-subalgebras and (closed) OBCI-filters of OBCI-algebras were defined and the relationship between the OBCI-subalgebras and OBCI-filters was discussed. In addition, the direct product OBCI-algebra was discussed, and the OBCI-filter related to it was also addressed.
| Original language | English |
|---|---|
| Pages (from-to) | 36336-36350 |
| Number of pages | 15 |
| Journal | AIMS Mathematics |
| Volume | 9 |
| Issue number | 12 |
| DOIs | |
| State | Published - 2024 |
Keywords
- (closed) OBCI-filter
- OBCI-algebra
- OBCI-subalgebra
- filter
- subalgebra
Quacquarelli Symonds(QS) Subject Topics
- Mathematics
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