Variable-basis Categorically-algebraic Dualities

Tsinghua University Press - Tập 6 - Trang 393-425 - 2014
Sergey A. Solovyov

Tài liệu tham khảo

J.AdámekH.HerrlichG.E.StreckerAbstract and Concrete Categories: The Joy of Cats2009Dover PublicationsMineola, New York Bayoumi F., 2010, Fuzzy Sets and Systems, 161, 2397, 10.1016/j.fss.2010.05.013 Birkhoff G., 1935, Proc. Cambridge Phil. Soc., 31, 433, 10.1017/S0305004100013463 S.BurrisH.P.SankappanavarA Course in Universal Algebra1981Springer Chang C.L., 1968, J. Math. Anal. Appl., 24, 182, 10.1016/0022-247X(68)90057-7 D.M.ClarkB.A.DaveyNatural Dualities for the Working Algebraist1998Cambridge University Press P.M.CohnUniversal Algebra1981D. Reidel Publ. Comp Davey B.A., 1993, Algebras and Orders, Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, 389, 71 Davey B.A., 2003, J. Aust. Math. Soc., 74, 393, 10.1017/S1446788700003384 B.A.DaveyH.A.PriestleyIntroduction to Lattices and Order2nd ed.2002Cambridge University Press Davey B.A., 1983, Contributions to Lattice Theory (Szeged, 1980), 33, 101 Demirci M., 2010, Fuzzy Sets and Systems, 161, 1224, 10.1016/j.fss.2009.12.012 Denniston J.T., 2009, Abstracts of the 30th Linz Seminar on Fuzzy Set Theory, 24 Denniston J.T., 2010, Abstracts of the 31st Linz Seminar on Fuzzy Set Theory, 31 Denniston J.T., 2012, Fuzzy Sets and Systems, 192, 58, 10.1016/j.fss.2011.07.001 10.2989/QM.2009.32.2.1.794 Diers Y., 1996, Appl. Categ. Struct., 4, 329, 10.1007/BF00122260 Diers Y., 1999, J. Geom., 65, 54, 10.1007/BF01228678 Diers Y., 2002, J. Pure Appl. Algebra, 168, 177, 10.1016/S0022-4049(01)00095-0 Dimov G.D., 1989, Categorical Topology and Its Relations to Analysis, Algebra and Combinatorics. Proc. Conf. Prague 1988, 336 Dimov G.D., 1993, Trans. Am. Math. Soc., 336, 901, 10.1090/S0002-9947-1993-1100693-0 Dixmier J., 1983, North-Holland Mathematical Library, Vol. 15 Eklund P., 1992, Applications of Category Theory to Fuzzy Subsets, 110 Engelking R., 1989, General Topology, 6 Frascella A., 2011, Appl. Gen. Topol., 12, 101 Frascella A., 2013, Iran. J. Fuzzy Syst., 10, 65 Gähler W., 1992, Recent Developments of General Topology and Its Applications, 67, 136 Gähler W., 2003, Topological and Algebraic Structures in Fuzzy Sets, 57, 10.1007/978-94-017-0231-7_3 Goguen J.A., 1967, J. Math. Anal. Appl., 18, 145, 10.1016/0022-247X(67)90189-8 Goguen J.A., 1973, J. Math. Anal. Appl., 43, 734, 10.1016/0022-247X(73)90288-6 G.GrätzerUniversal Algebra2nd ed.2008Springer Guido C., 2003, Topological and Algebraic Structures in Fuzzy Sets, 401, 10.1007/978-94-017-0231-7_17 Guido C., 2010, Fuzzy Sets and Systems, 161, 2150, 10.1016/j.fss.2010.02.009 Hofmann D., 2011, Topology Appl., 158, 913, 10.1016/j.topol.2011.01.010 Höhle U., 1980, J. Math. Anal. Appl., 78, 659, 10.1016/0022-247X(80)90173-0 U.HöhleMany Valued Topology and Its Applications2001Kluwer Academic Publishers Höhle U., 1999, Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory, 3, 123, 10.1007/978-1-4615-5079-2_5 Isbell J.R., 1972, Am. J. Math., 94, 535, 10.2307/2374638 P.T.JohnstoneStone Spaces1982Cambridge University Press R.V.KadisonJ.R.RingroseFundamentals of the Theory of Operator Algebras. Vol. I: Elementary theory2nd ed.1997American Mathematical Society G.M.KellyBasic Concepts of Enriched Category Theory1982Cambridge University Press Kruml D., 2008, Handbook of Algebra, 5, 323, 10.1016/S1570-7954(07)05006-1 Kubiak T., 2009, Abstracts of the 30th Linz Seminar on Fuzzy Set Theory, 70 Lambek J., 1979, Trans. Am. Math. Soc., 248, 1 S.Mac LaneCategories for the Working Mathematician2nd ed.1998Springer E.G.ManesAlgebraic Theories1976Springer-Verlag Pontrjagin L., 1934, Annals of Math., 35, 361, 10.2307/1968438 L.PontrjaginTopological Groups1939Oxford University Press Porst H.-E., 1990, Category Theory at Work, 111 Priestley H.A., 1970, Bull. Lond. Math. Soc., 2, 186, 10.1112/blms/2.2.186 Priestley H.A., 1993, Algebraic Methods in Logic and Computer Science, Banach Center Publications, Vol. 28, 291, 10.4064/-28-1-291-310 Rodabaugh S.E., 1991, Fuzzy Sets and Systems, 40, 297, 10.1016/0165-0114(91)90164-L Rodabaugh S.E., 1992, Applications of Category Theory to Fuzzy Subsets, 177, 10.1007/978-94-011-2616-8_8 Rodabaugh S.E., 1999, Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory, 273, 10.1007/978-1-4615-5079-2_6 Rodabaugh S.E., 1999, Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory, 481, 10.1007/978-1-4615-5079-2_9 Rodabaugh S.E., 2007, Int. J. Math. Math. Sci., 2007, 1, 10.1155/2007/43645 Rodabaugh S.E., 2008, Appl. Gen. Topol., 9, 77, 10.4995/agt.2008.1871 Rodabaugh S.E., 2010, Fuzzy Sets and Systems, 161, 453, 10.1016/j.fss.2009.09.010 K.I.RosenthalQuantales and Their Applications1990Addison Wesley Longman Simmons H., 1982, Topology Appl., 13, 201, 10.1016/0166-8641(82)90021-9 Smith J.D.H., 1999, Algebra Stoch. Methods, 19, 9 Solovyov S., 2006, Fuzzy Sets and Systems, 157, 459, 10.1016/j.fss.2005.06.007 Solovyov S., 2008, Math. Stud. (Tartu), 4, 89 Solovyov S., 2008, Fuzzy Sets and Systems, 159, 2567, 10.1016/j.fss.2008.02.010 Solovyov S., 2010, Acta Univ. M. Belii, Ser. Math., 17, 57 Solovyov S., 2010, Contr. Gen. Alg., 19, 187 Solovyov S., 2010, Fuzzy Sets and Systems, 161, 2945, 10.1016/j.fss.2010.05.007 10.2989/16073606.2011.570292 Solovyov S., 2011, Iran. J. Fuzzy Syst., 8, 1 Solovyov S., 2012, Fuzzy Sets and Systems, 192, 176, 10.1016/j.fss.2011.07.016 Stone M.H., 1936, Trans. Am. Math. Soc., 40, 37 Stone M.H., 1937, Cas. Mat. Fys., 67, 1 Zadeh L.A., 1965, Information Control, 8, 338, 10.1016/S0019-9958(65)90241-X