Title of article
Results on hoops
Author/Authors
Borzooei, A.R Department of Mathematics - Shahid Beheshti University, Tehran, Iran , Aaly Kologani, M Hatef Higher Education Institute, Zahedan, Iran
Pages
17
From page
61
To page
77
Abstract
In this paper, by considering the notion of hoop, were
introduced by Bosbach in [7, 8] under the name of complementary
semigroups, we show that there are relations
among hoops and some of other logical algebras such
as residuated lattices, MTL-algebras, BL-algebras, MV -
algebras, BCK-algebras, equality algebras, EQ-algebras,
R0-algebras, Hilbert algebras, Heyting algebras, Hertz algebras,
lattice implication algebras and fuzzy implication
algebras. The aim of this paper is to nd that under what
conditions hoops are equivalent to these logical algebras.
Keywords
Hilbert algebra , EQ-algebra , equality algebra , residuated lattice , Hoop
Journal title
Journal of Algebraic Hyperstructures and Logical Algebras
Serial Year
2020
Record number
2703317
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