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, MT L-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 find that under what conditions hoops are equivalent to these logical algebras.
Borzooei, R., Aaly, M. (2020). Results on hoops. Journal of Algebraic Hyperstructures and Logical Algebras, 1(1), 61-77. doi: 10.29252/hatef.jahla.1.1.5
MLA
R.A. Borzooei; M. Aaly. "Results on hoops". Journal of Algebraic Hyperstructures and Logical Algebras, 1, 1, 2020, 61-77. doi: 10.29252/hatef.jahla.1.1.5
HARVARD
Borzooei, R., Aaly, M. (2020). 'Results on hoops', Journal of Algebraic Hyperstructures and Logical Algebras, 1(1), pp. 61-77. doi: 10.29252/hatef.jahla.1.1.5
VANCOUVER
Borzooei, R., Aaly, M. Results on hoops. Journal of Algebraic Hyperstructures and Logical Algebras, 2020; 1(1): 61-77. doi: 10.29252/hatef.jahla.1.1.5
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