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Semi-neutral groupoids and $BCK$-algebras
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In this paper, we introduce the notion of a left-almost-zero groupoid, and we generalize two axioms which play important roles in the theory of $BCK$-algebra using the notion of a projection. Moreover, we investigate a Smarandache disjointness of semi-leftoids.
Abstract
In this paper, we introduce the notion of a left-almost-zero groupoid, and we generalize two axioms which play important roles in the theory of $BCK$-algebra using the notion of a projection. Moreover, we investigate a Smarandache disjointness of semi-leftoids.
참고문헌 (9)
- P. J. Allen, "Smarandache disjoint in BCK", D-algebras, 2005, pp.61(3), 447~449
- Paul J. Allen, "Bracket functions on groupoids", 대한수학회논문집, 34(2), pp.375~381 (2019), 대한수학회[DOI]
- J. S. Han, "Strong and ordinary d-algebras", J. Mult. -Valued Logic Soft Comput, 16(3-5), pp.331~339 (2010)
- Y. Huang, "BCI-Algebra" (2006), Science Press
- A. Iorgulescu, "Algebras of Logic as BCK Algebras" (2008), Editura ASE
- K. Iséki, "An introduction to the theory of BCK-algebras", Math. Japon, 23(1), pp.1~26 (1979)
- H. S. Kim, "On BE-algebras", Sci. Math. Japo. Online, e-2006, pp.1299~1302 (2006)
- Hee Sik Kim, "The semigroups of binary systems and some perspectives", 대한수학회보, 45(4), pp.651~661 (2008), 대한수학회
- J. Meng, "BCK-Algebras" (1994), Kyung Moon Sa
관련 논문AI추천
N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA이경자, 전영배대한수학회 · 대한수학회논문집2012 · 제27권 제4호Neutrosophic subalgebras of several types in $BCK/BCI$-algebras정영배기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제14권 제1호A study on $\Gamma$-$BCK$-algebrasD. L. Shi, J. I. Baek, K.Hur, M. Cheong, S. H. Han기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2023 · 제26권 제3호Pseudo-BCI algebras전영배, Wieslaw A. Dudek영남수학회 · East Asian Mathematical Journal2008 · 제24권 제2호Neutrosophic subalgebras of $BCK/BCI$-algebras based on neutrosophic points전영배, Arsham Borumand Saeid기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제14권 제1호Some constructions of implicative/commutative d-algebrasSun Shin Ahn, Young Hee Kim대한수학회 · 대한수학회보2009 · 제46권 제1호
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