TY - JOUR ID - 101797 TI - Results on hoops JO - Journal of Algebraic Hyperstructures and Logical Algebras JA - JAHLA LA - en SN - 2676-6000 AU - Borzooei, R.A. AU - Aaly, M. AD - Shahid Beheshti University AD - Hatef University Y1 - 2020 PY - 2020 VL - 1 IS - 1 SP - 61 EP - 77 KW - Hoop KW - residuated lattice KW - Equality algebra KW - EQ-algebra KW - Hilbert algebra DO - 10.29252/hatef.jahla.1.1.5 N2 - 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. UR - https://jahla.hatef.ac.ir/article_101797.html L1 - https://jahla.hatef.ac.ir/article_101797_fef2c5457779c4d7044b00bfcd9d0e61.pdf ER -