Journal of Algebra, Number Theory: Advances and Applications[1] S. L. Bloom, Varieties of ordered algebras, J. Compt. System Sci.
13(2) (1976), 200-212.
DOI: https://doi.org/10.1016/S0022-0000(76)80030-X
[2] T. S. Blyth and M. F. Janowitz, Residuation Theory, Pergamon
Press, 1972.
[3] F. Borceux, Handbook of Categorical Algebra, Vol. 2, Encyclopedia
of Mathematics and its Applications, 51, Cambridge University Press,
Cambridge, 1994.
[4] R. L. Cignoli, I. M. d’Ottaviano and D. Mundici, Algebraic
Foundations of Many-Valued Reasoning, Kluwer Dordrecht, 2000.
[5] G Czédli and A. Lenkehegyi, On congruence n-distributivity
of ordered algebras, Acta Math. Hungar. 41(1-2) (1983), 17-26.
DOI: https://doi.org/10.1007/BF01994057
[6] B. A. Davey and H. A. Priestley, Introduction to Lattices and
Order, Cambridge University Press, 1980.
[7] M. Erné, Adjunctions and Galois connections: Origin, History and
Development, in K. Denecke, M. Erné and S. L. Wismath (Eds.), Galois
Connections and Applications, Kluwer Academic Publishers,
Dordrecht-Boston, 2004, pp. 1-138.
[8] M. Erné, J. Koslowski, A. Melton and G. E. Strecker, A primer on
Galois connections, Annals of the New York Academy of Sciences 704(1)
(1999), 103-125
DOI: https://doi.org/10.1111/j.1749-6632.1993.tb52513.x
[9] N. Galatos, P. Jipsen, T. Kowalski and H. Ono, Residuated
Lattices: An Algebraic Glimpse at Sub-Structural Logics, Elsevier,
2007, 532 pp.
[10] R. Goldblatt, A Kripke-Joyal Semantics for noncommutative logic
in quantales, pp 209-225 in Governatori, Hodkinson and Venema (Eds.),
Advances in Modal Logic, Volume 6, College Publications, London,
2006.
[11] P. Hajek, Metamathematics of Fuzzy Logic, Kluwer Academic
Publishers, Dordrecht, 1998.
DOI: https://doi.org/10.1007/978-94-011-5300-3
[12] P. T. Johnstone, Stone Spaces, Cambridge University Press,
Cambridge, 1982.
[13] Kimmo I. Rosenthal, Quantales and their Applications, Pitman Res.
Notes in Math. Series 234, Longman, 1990.
[14] C. J. Mulvey, “ ” Rendiconti Circ. Mat. Palermo 12 (1986),
99-104.
[15] Susan B. Niefield and Kimmo I. Rosenthal, Constructing locales
from quantales, Mathematical Proceedings of the Cambridge
Philosophical Society 104(2) (1988), 215-234.
DOI: https://doi.org/10.1017/S0305004100065403
[16] Niovi Kehayopulu and Michael Tsingelis, On free ordered
semigroups, Scientiae Mathematicae Japonicae, Online (e-2010),
97-103.
[17] H. Ono, Semantics for substructural logics, In: Substructural
Logics, eds. by P. Schroeder-Heister and K. Dosen, Oxford University
Press (1993), 259-291.
[18] H. Ono, Structural rules and a logical hierarchy, in:
Mathematical Logic, Proceedings of the Summer School and Conference on
Mathematical Logic, Heyting 88, P. P. Petrov (Editor), Plenum Press
(1990), 95-104.
[19] H. Ono and Y. Komori, Logics without the contraction rule,
Journal of Symbolic Logic 50(1) (1985), 169-201.
DOI: https://doi.org/10.2307/2273798
[20] A Ogus, Lectures on Logarithmic Algebraic Geometry, University of
California, Berkeley, 2006.
[21] Sergey A. Solovyov, A note on nuclei of quantale algebras,
Bulletin of the Section of Logic 40(1-2) (2011), 91-112.
[22] H. Simmons, An Algebraic Version of Cantor Bendixson Analysis, In
Categorical Aspects of Topology and Analysis (Ottawa, Ont., 1980),
pages 310-323, Springer, Berlin, 1982.
[23] Shi Xian Ping and Xie Xiang Yun, A note on order congruences on
ordered semigroups, Journal of Mathematical Research & Exposition
28(4) (2008), 898-904.
[24] H. Simmons, Near-discreteness of modules and spaces as measured
by Gabriel and Cantor, J. Pure Appl. Algebra 56(2) (1989), 119-162.
DOI: https://doi.org/10.1016/0022-4049(89)90141-2
[25] Valdis Laan and Sohhail Nasir, On monomorphisms and epimorphisms
in varieties of ordered algebras, Communication in Algebra 43(7)
(2015), 2802-2819.
DOI: https://doi.org/10.1080/00927872.2014.904328
[26] M. Ward and R. P. Dilworth, Residuated lattices, Trans. Amer.
Math. Soc. 45(3) (1939), 335-354.
DOI: https://doi.org/10.1090/S0002-9947-1939-1501995-3
[27] Xie Xiang-Yun, On regular, strongly regular congruences on
ordered semigroups, Semigroup Forum 61(2) (2000), 159-178.
DOI: https://doi.org/10.1007/PL00006018
