Relations between L-algebras and other logical algebras

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Aaly Kologani M.

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC HYPERSTRUCTURES AND LOGICAL ALGEBRAS Year:2023 | Volume:4 | Issue:1 Page(s): 27-46

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Information Journal Paper

Title

Relations between L-algebras and other logical algebras

Author(s)

Aaly Kologani M. | Issue Writer Certificate

Keywords

L-algebra

hoop

BCK/BCI-algebra

residuated lattice

MTL-algebra

BL-algebra

MV-algebra

Abstract

In this paper, by considering the notion of L-algebra, we show that there are relations between L-algebras and some of other logical algebras such as residuated lattices, MTL-algebras, BL-algebras, MV-algebras, BCK-algebras, equality algebras, EQ-algebras and Hilbert algebras. The aim of this paper is to find under what conditions L-algebras are equivalent to these logical algebras.

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