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Γ-Implication Algebras
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DOI：10.1142/S1793005727500591.png)
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Abstract
En 中文
This paper introduces the concepts of Gamma-Implication algebras (Hilbert algebras, KU algebras, JU algebras, BE algebras, and CI algebras) each serving as a generalization of their respective counterparts: Implication algebras, Hilbert algebras, KU-algebras, BE-algebras, and CI-algebras. It is established that every commutative, self-distributive Gamma-BE algebra is a Gamma-Hilbert algebra, and that any Gamma-Implication algebra is a Gamma-BE algebra. Furthermore, every Gamma-Hilbert algebra is shown to be a self-distributive Gamma-BE algebra. We prove that Gamma-Implication algebras are Gamma-Hilbert algebras(KU-algebras, BE-algebras). We study some properties of Gamma-Implication algebras (Hilbert algebras, KU-algebras, JU-algebras, BE algebras, and CI algebras). We establish that every commutative and self-distributive Gamma-BE algebra is a Gamma-Hilbert algebra.
Keywords:
Hilbert-algebras
KU-algebras
BE-algebras
JU-algebras
CI-algebras
CI-algebras
Gamma-Implication Algebras
Journal
N
IF:
1.1
Papers:
83
Citations:
0
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