[1] P. Aglian`o., I.M. Ferreirim, F. Montagna, Basic hoops: An algebraic study of continuous
t-norm, Studia Logica, 87(1) (2007), 73–98.
[2] S.Z. Alavi, R.A. Borzooei, M. Aaly Kologani, Filter theory of pseudo hoop-algebras, Italian
Journal of Pure and Applied Mathematics, 37 (2017), 619–632.
[3] W.J. Blok, I.M.A. Ferreirim, On the structure of hoops, Algebra Universalis, 43(2-3) (2000),
233–257.
[4] V. Boicescu, A. Filipoiu, G. Georgescu, S. Rudeanu, Lukasiewicz-Moisil algebras, Annals of
Discrete Mathematics, 49 (1991).
[5] R.A. Borzooei, M. Aaly Kologani, Local and perfect semihoops, Journal of Intelligent and
Fuzzy Systems, 29(1) (2015), 223–234.
[6] R.A. Borzooei, M. Aaly Kologani, State hoops, Mathematica Slovaca, 67(1) (2017), 1–16.
[7] B. Bosbach, Komplement¨are Halbgruppen. Axiomatik und Arithmetik, Fundamenta Mathematicae, 64 (1969), 257–287.
[8] B. Bosbach, Komplement¨are Halbgruppen. Kongruenzen und Quotienten, Fundamenta Mathematicae, 69 (1970), 1–14.
[9] D. Busneag, Hertz algebras of fractions and maximal Hertz algebra of quotients, Mathematica
Japonica, 39(3) (1993), 461–469.
[10] D. Busneag, A note on deductive systems of a Hilbert algebra, Kobe Journal of Mathematics,
2 (1985), 29–35.
[11] C.C. Chang, Algebraic analysis of many valued logics, Transactions of the American Mathematical Society, 88(2) (1958), 467–490.
[12] L.Ciungu, On pseudo-BCK-algebras with pseudo double negation, Annals of the University
of Craiova, Mathematics and Computer Science Series, 37(1) (2010), 19–26.
[13] M. El-Zekey, V.N. Ak, R. Mesiar, On good EQ-algebras, Fuzzy Sets and Systems, 178 (2011),
1–23.
[14] F. Esteva, L. Godo, Monoidal t-norm based logic: Towards a logic for left-continuous t-norms,
Fuzzy Sets and Systems, 124(3) (2001), 271–288.
[15] G. Georgescu, L. Leustean, V. Preoteasa, Pseudo-hoops, Journal of Multiple-Valued Logic
and Soft Computing, 11(1-2) (2005), 153–184.
[16] P. H´ajek, Metamathematics of fuzzy logic, Springer Science and Business Media, 4 (1998).
[17] A. Iorgulescu, Algebras of logic as BCK-algebras, Bucharest: Editura ASE, (2008).
[18] K. Iseki, Y. Imai, On axiom systems of propositional calculi, XIV Proc. Japan Academy, 42(1)
(1966), 19–22.
[19] S. Jenei, Equality algebras, Studia Logica, 100 (2012), 1201–1209.
[20] D.W. Pei, A unified normal residuated based logic system and its completeness, Southeast
Asian Bulletin of Mathematics, 28(6) (2004), 1089–1098.
[21] G.J. Wang, Non-classical mathematical logic and approximate reasoning, Beijing: Science
Press (2000).
[22] M. Ward, R.P. Dilworth, Residuated lattices, Transactions of the American Mathematical
Society, 45(3) (1939), 335–354.
[23] W.M. Wu, Fuzzy implication algebra, Fuzzy Systems and Mathematics, 4(1) (1990), 56–64.
[24] Y. Xu, D. Ruan, K. Qin, J. Liu, Lattice valued logic, Studies in Fuzziness and Soft Computing,
132 (2003).
[25] F. Zebardast, R.A. Borzooei, M. Aaly Kologani, Results on equality algebras, Information
Sciences, 381 (2017), 270–282.