An introduction to the theory of OBCI-algebras
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초록

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 OBCIalgebras 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.

키워드

OBCI-algebrasubalgebraOBCI-subalgebrafilter(closed) OBCI-filter
제목
An introduction to the theory of OBCI-algebras
저자
Yang, EunsukRoh, Eun HwanJun, Young Bae
DOI
10.3934/math.20241723
발행일
2024-12
유형
Article
저널명
AIMS MATHEMATICS
9
12
페이지
36336 ~ 36350