Edit Profile Davey, Brian A. Compute Distance To: Compute Author ID: davey.brian-a Published as: Davey, Brian A.; Davey, B. A.; Davey, Brian Homepage: http://briandavey.ltumathstats.com/ Documents Indexed: 106 Publications since 1972, including 5 Books Biographic References: 1 Publication all top 5 Co-Authors 18 single-authored 20 Haviar, Miroslav 20 Pitkethly, Jane G. 19 Priestley, Hilary A. 10 Clark, David Michael 8 Werner, Heinrich 8 Willard, Ross 5 Jackson, Marcel G. 4 Quackenbush, Robert W. 4 Rival, Ivan 4 Talukder, Md. Rashed 3 McKenzie, Ralph N. 2 Duffus, Dwight 2 Gouveia, Maria João 2 Knox, Bradley J. 2 Niven, Todd 2 Schumann, V. J. 1 Craig, Andrew P. K. 1 Davis, Gary A. 1 Freese, Ralph S. 1 Gair, A. 1 Galati, John C. 1 Goldberg, Moshe S. 1 Gray, Charles T. 1 Heindorf, Lutz 1 Idziak, Paweł M. 1 Kovács, László György 1 Lampe, William A. 1 Maróti, Miklós 1 McCarthy, Michael J. 1 McNulty, George F. 1 Miles, K. R. 1 Nation, James B. 1 Nguyen, Long T. 1 Nieminen, Juhani 1 Pálfy, Péter Pál 1 Perkal, Narwin 1 Poguntke, Werner 1 Ratanaprasert, Chawewan 1 Rifqui, D. L. 1 Rosenberg, Ivo G. 1 Sands, Bill 1 Schweigert, Dietmar 1 Szabó, Csaba all top 5 Serials 36 Algebra Universalis 5 Houston Journal of Mathematics 5 Studia Logica 4 Journal of Pure and Applied Algebra 4 Transactions of the American Mathematical Society 4 Order 4 Journal of the Australian Mathematical Society. Series A 3 International Journal of Algebra and Computation 3 Applied Categorical Structures 2 Discrete Mathematics 2 Acta Scientiarum Mathematicarum 2 Canadian Journal of Mathematics 2 Mathematische Zeitschrift 2 Semigroup Forum 2 Journal of the Australian Mathematical Society 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Bulletin of the Australian Mathematical Society 1 Advances in Mathematics 1 Colloquium Mathematicum 1 Journal of the London Mathematical Society. Second Series 1 The Journal of Symbolic Logic 1 Topology and its Applications 1 Annals of Pure and Applied Logic 1 Acta Mathematica Universitatis Comenianae. New Series 1 Acta Universitatis Matthiae Belii. Series Mathematics 1 Cambridge Studies in Advanced Mathematics 1 Advances in Mathematics (Springer) all top 5 Fields 86 General algebraic systems (08-XX) 69 Order, lattices, ordered algebraic structures (06-XX) 26 Category theory; homological algebra (18-XX) 10 Mathematical logic and foundations (03-XX) 9 General topology (54-XX) 5 Topological groups, Lie groups (22-XX) 3 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 1,929 times in 1,338 Documents Cited by ▼ Year ▼ Introduction to lattices and order. 2nd ed. Zbl 1002.06001Davey, B. A.; Priestley, H. A. 555 2002 Introduction to lattices and order. Zbl 0701.06001Davey, B. A.; Priestley, H. A. 431 1990 Natural dualities for the working algebraist. Zbl 0910.08001Clark, David M.; Davey, Brian A. 123 1998 Subdirectly irreducible distributive double p-algebras. Zbl 0381.06019Davey, Brian A. 29 1978 Generalised piggyback dualities and applications to Ockham algebras. Zbl 0692.08012Davey, B. A.; Priestley, H. A. 24 1987 Dualities for equational classes of Brouwerian and Heyting algebras. Zbl 0319.06007Davey, Brian A. 22 1976 Standard topological algebras: syntactic and principal congruences and profiniteness. Zbl 1088.08006Clark, David M.; Davey, Brian A.; Freese, Ralph S.; Jackson, Marcel 22 2004 Duality theory on ten dollars a day. Zbl 0793.08001Davey, Brian A. 20 1993 On the lattice of subvarieties. Zbl 0396.08008Davey, Brian A. 20 1979 Sheaf spaces and sheaves of universal algebras. Zbl 0259.08002Davey, Brian A. 20 1973 Dualisability. Unary algebras and beyond. Zbl 1085.08001Pitkethly, Jane; Davey, Brian 20 2005 The syntax and semantics of entailment in duality theory. Zbl 0845.08006Davey, B. A.; Haviar, M.; Priestley, H. A. 18 1995 Piggyback-Dualitäten. (Piggyback dualities). Zbl 0609.08004Davey, Brian A.; Werner, Heinrich 18 1985 Some annihilator conditions on distributive lattices. Zbl 0299.06007Davey, Brian A. 17 1974 The axiomatizability of topological prevarieties. Zbl 1148.08003Clark, D. M.; Davey, B. A.; Jackson, M. G.; Pitkethly, J. G. 17 2008 The dualisability of a quasi-variety is independent of the generating algebra. Zbl 1039.08006Davey, Brian A.; Willard, Ross 16 2001 A characterization of semi-distributivity. Zbl 0313.06002Davey, B. A.; Poguntke, W.; Rival, I. 16 1975 Weak injectivity and congruence extension in congruence-distributive equational classes. Zbl 0347.08003Davey, Brian A. 16 1977 Dualities and equivalences for varieties of algebras. Zbl 0532.08003Davey, Brian A.; Werner, Heinrich 15 1983 Dualisability in general and endodualisability in particular. Zbl 0863.08002Davey, Brian A. 14 1996 Near unanimity: An obstacle to general duality theory. Zbl 0824.08007Davey, B. A.; Heindorf, L.; McKenzie, R. 14 1995 Dualities and equivalences for varieties of algebras. Zbl 0503.08011Davey, Brian A.; Werner, Heinrich 13 1980 Optimal natural dualities. Zbl 0804.06014Davey, B. A.; Priestley, H. A. 13 1993 Natural dualities for semilattice-based algebras. Zbl 1133.08003Davey, B. A.; Jackson, M.; Pitkethly, J. G.; Talukder, M. R. 13 2007 Injectivity and Boolean powers. Zbl 0402.08010Davey, Brian A.; Werner, Heinrich 13 1979 Monotone clones and congruence modularity. Zbl 0711.08008Davey, B. A. 13 1990 Monotone clones and the varieties they determine. Zbl 0734.08001Davey, B. A.; Quackenbush, R. W.; Schweigert, D. 12 1990 Exponentiation and duality. Zbl 0509.06001Davey, B. A.; Duffus, D. 12 1982 Dualizability and graph algebras. Zbl 0945.08001Davey, Brian A.; Idziak, Paweł M.; Lampe, William A.; McNulty, George F. 12 2000 Tensor products and entropic varieties. Zbl 0604.08004Davey, Brian A.; Davis, Gary 12 1985 The lattice of alter egos. Zbl 1258.08006Davey, Brian A.; Pitkethly, Jane G.; Willard, Ross 11 2012 Structural entailment. Zbl 1090.08009Davey, Brian A.; Haviar, Miroslav; Willard, Ross 11 2005 Natural dualities for structures. Zbl 1132.08003Davey, Brian A. 11 2006 Endoprimal algebras. Zbl 0934.08004Davey, B. A.; Pitkethly, J. G. 11 1997 Standard topological quasi-varieties. Zbl 1141.08301Clark, D. M.; Davey, B. A.; Haviar, M.; Pitkethly, J. G.; Talukder, M. R. 10 2003 An application of Whitman’s condition to lattices with no infinite chains. Zbl 0356.06013Davey, Brian A.; Sands, Bill 10 1977 Dualities for Stone algebras, double Stone algebras, and relative Stone algebras. Zbl 0514.06008Davey, Brian A. 10 1982 Full does not imply strong, does it? Zbl 1090.08008Davey, Brian A.; Haviar, Miroslav; Willard, Ross 10 2005 Boolean topological distributive lattices and canonical extensions. Zbl 1122.06004Davey, B. A.; Haviar, M.; Priestley, H. A. 10 2007 Optimal natural dualities for varieties of Heyting algebras. Zbl 0854.06011Davey, B. A.; Priestley, H. A. 9 1996 Optimal natural dualities. II: General theory. Zbl 0859.08007Davey, B. A.; Priestley, H. A. 9 1996 Binary homomorphisms and natural dualities. Zbl 0996.08004Clark, D. M.; Davey, B. A.; Pitkethly, J. G. 9 2002 Natural extensions and profinite completions of algebras. Zbl 1232.08006Davey, B. A.; Gouveia, M. J.; Haviar, M.; Priestley, H. A. 8 2011 Finite degree: algebras in general and semigroups in particular. Zbl 1243.08003Davey, B. A.; Jackson, M. G.; Pitkethly, J. G.; Szabó, C. 8 2011 Endoprimal distributive lattices are endodualisable. Zbl 0833.06012Davey, B. A.; Haviar, M.; Priestley, H. A. 8 1995 The product representation theorem for interlaced pre-bilattices: some historical remarks. Zbl 1318.06006Davey, Brian A. 8 2013 Exponents of finite simple lattices. Zbl 0391.06006Davey, B. A.; Duffus, D.; Quackenbush, R. W.; Rival, I. 8 1978 Annihilators in modular lattices. Zbl 0613.06004Davey, Brian A.; Nieminen, Juhani 8 1986 Natural dualities in partnership. Zbl 1284.08021Davey, Brian A.; Haviar, Miroslav; Priestley, Hilary A. 7 2012 Exponents of lattice-ordered algebras. Zbl 0499.06015Davey, Brian A.; Rival, Ivan 7 1982 Braids and their monotone clones. Zbl 0811.08004Davey, B. A.; Nation, J. B.; McKenzie, R. N.; Pálfy, P. P. 7 1994 Principal and syntactic congruences in congruence-distributive and congruence-permutable varieties. Zbl 1160.08005Davey, Brian A.; Jackson, Marcel; Maróti, Miklós; McKenzie, Ralph N. 7 2008 The complexity of dualisability: Three-element unary algebras. Zbl 1051.08006Clark, D. M.; Davey, B. A.; Pitkethly, J. G. 7 2003 Topological duality for prevarieties of universal algebras. Zbl 0477.08007Davey, Brian A. 6 1978 Free products of bounded distributive lattices. Zbl 0299.06008Davey, Brian A. 6 1974 Not every full duality is strong! Zbl 1140.08003Clark, David M.; Davey, Brian A.; Willard, Ross 6 2007 Partition-induced natural dualities for varieties of pseudo-complemented distributive lattices. Zbl 0781.06008Davey, B. A.; Priestley, H. A. 6 1993 A coalgebraic view of Heyting duality. Zbl 1037.06008Davey, Brian A.; Galati, John C. 6 2003 A schizophrenic operation which aids the efficient transfer of strong dualities. Zbl 0978.08008Davey, B. A.; Haviar, M. 6 2000 Flat unars: the primal, the semi-primal and the dualisable. Zbl 1207.08001Clark, D. M.; Davey, B. A.; Pitkethly, J. G.; Rifqui, D. L. 5 2010 The quest for strong dualities. Zbl 0839.08005Clark, David M.; Davey, Brian A. 5 1995 The free p-algebra generated by a distributive lattice. Zbl 0386.06003Davey, Brian A.; Goldberg, Moshe S. 5 1980 Dual categories for endodualisable Heyting algebras: optimization and axiomatization. Zbl 1092.06010Davey, B. A.; Talukder, M. R. 5 2005 Regularising natural dualities. Zbl 0946.08004Davey, B. A.; Knox, B. J. 5 1999 Kleene algebras: a case-study of clones and dualities from endomorphisms. Zbl 0980.08002Davey, B. A.; Haviar, M.; Priestley, H. A. 5 2001 From rectangular bands to \(k\)-primal algebras. Zbl 0997.08002Davey, Brian A.; Knox, Bradley J. 5 2002 Quasi-identities, Mal’cev conditions and congruence regularity. Zbl 0629.08004Davey, B. A.; Miles, K. R.; Schumann, V. J. 5 1987 Dualisability versus residual character: a theorem and a counterexample. Zbl 1119.08001Davey, Brian A.; Pitkethly, Jane G.; Willard, Ross 5 2007 A topological approach to canonical extensions in finitely generated varieties of lattice-based algebras. Zbl 1231.06010Davey, B. A.; Priestley, H. A. 4 2011 Multisorted dualisability: change of base. Zbl 1235.08004Davey, B. A.; Gouveia, M. J.; Haviar, M.; Priestley, H. A. 4 2011 Using coloured ordered sets to study finite-level full dualities. Zbl 1206.06007Davey, Brian A.; Haviar, Miroslav; Pitkethly, Jane G. 4 2010 Canonical extensions and discrete dualities for finitely generated varieties of lattice-based algebras. Zbl 1258.08005Davey, B. A.; Priestley, H. A. 4 2012 From the subalgebras of the square to the discriminator. Zbl 0745.08002Davey, Brian A.; Schumann, V. J.; Werner, Heinrich 4 1991 Applications of Priestley duality in transferring optimal dualities. Zbl 1082.08005Davey, Brian A.; Haviar, Miroslav 4 2004 A note on representable posets. Zbl 0289.06005Davey, Brian A. 4 1973 Finite sublattices of three-generated lattices. Zbl 0326.06003Davey, Brian A.; Rival, Ivan 4 1976 Semimodular lattices with isomorphic graphs. Zbl 0624.06007Ratanaprasert, C.; Davey, B. A. 4 1987 When is a full duality strong? Zbl 1118.08003Davey, Brian A.; Haviar, Miroslav; Niven, Todd 4 2007 Counting the relations compatible with an algebra. Zbl 1238.08001Davey, Brian A.; Pitkethly, Jane G. 3 2010 Distributivity of coproducts over products. Zbl 0472.08010Davey, Brian A.; Werner, Heinrich 3 1981 \(m\)-Stone lattices. Zbl 0258.06007Davey, B. A. 3 1972 Dualizability of automatic algebras. Zbl 1306.08007Bentz, W.; Davey, B. A.; Pitkethly, J. G.; Willard, R. 3 2014 Transferring optimal dualities: Theory and practice. Zbl 1047.08006Davey, B. A.; Haviar, M. 3 2003 Lattices of homomorphisms. Zbl 0596.06006Davey, B. A.; Priestley, H. A. 3 1986 Full but not strong dualities at the finite level: extending the realm. Zbl 1120.08003Davey, Brian A.; Haviar, Miroslav; Niven, Todd; Perkal, Narwin 3 2007 Full dualisability is independent of the generating algebra. Zbl 1259.08005Davey, B. A.; Haviar, M.; Pitkethly, J. G. 2 2012 Absolute subretracts and weak injectives in congruence modular varieties. Zbl 0684.08002Davey, Brian A.; Kovács, L. G. 2 1986 When is a natural duality ‘good’? Zbl 0856.08008Clark, D. M.; Davey, B. A. 2 1996 Counting relations on Ockham algebras. Zbl 1336.06007Davey, Brian A.; Nguyen, Long T.; Pitkethly, Jane G. 2 2015 Piggyback dualities revisited. Zbl 1406.08004Davey, B. A.; Haviar, M.; Priestley, H. A. 2 2016 Natural dualities for dihedral varieties. Zbl 0879.08009Davey, B. A.; Quackenbush, R. W. 2 1996 Bookkeeping duality for paraprimal algebras. Zbl 0884.08009Davey, B. A.; Quackenbush, R. W. 2 1995 Dualisability of \(p\)-semilattices. Zbl 0982.06005Davey, B. A.; Pitkethly, J. G. 2 2001 Functor category dualities for varieties of Heyting algebras. Zbl 1027.06013Davey, B. A.; Talukder, M. R. 2 2003 Piggyback dualities. Zbl 0603.08011Davey, Brian A.; Werner, Heinrich 2 1986 A representation theory for the variety generated by the triangle. Zbl 0481.06012Davey, B. A.; McCarthy, M. J. 1 1981 A non-dualisable entropic algebra. Zbl 1060.08005Pitkethly, J. G.; Davey, B. A. 1 2002 Bohr compactifications of algebras and structures. Zbl 1387.18005Davey, B. A.; Haviar, Miroslav; Priestley, H. A. 1 2017 Bohr compactifications of algebras and structures. Zbl 1387.18005Davey, B. A.; Haviar, Miroslav; Priestley, H. A. 1 2017 Piggyback dualities revisited. Zbl 1406.08004Davey, B. A.; Haviar, M.; Priestley, H. A. 2 2016 Counting relations on Ockham algebras. Zbl 1336.06007Davey, Brian A.; Nguyen, Long T.; Pitkethly, Jane G. 2 2015 Dualizability of automatic algebras. Zbl 1306.08007Bentz, W.; Davey, B. A.; Pitkethly, J. G.; Willard, R. 3 2014 The product representation theorem for interlaced pre-bilattices: some historical remarks. Zbl 1318.06006Davey, Brian A. 8 2013 The lattice of alter egos. Zbl 1258.08006Davey, Brian A.; Pitkethly, Jane G.; Willard, Ross 11 2012 Natural dualities in partnership. Zbl 1284.08021Davey, Brian A.; Haviar, Miroslav; Priestley, Hilary A. 7 2012 Canonical extensions and discrete dualities for finitely generated varieties of lattice-based algebras. Zbl 1258.08005Davey, B. A.; Priestley, H. A. 4 2012 Full dualisability is independent of the generating algebra. Zbl 1259.08005Davey, B. A.; Haviar, M.; Pitkethly, J. G. 2 2012 Natural extensions and profinite completions of algebras. Zbl 1232.08006Davey, B. A.; Gouveia, M. J.; Haviar, M.; Priestley, H. A. 8 2011 Finite degree: algebras in general and semigroups in particular. Zbl 1243.08003Davey, B. A.; Jackson, M. G.; Pitkethly, J. G.; Szabó, C. 8 2011 A topological approach to canonical extensions in finitely generated varieties of lattice-based algebras. Zbl 1231.06010Davey, B. A.; Priestley, H. A. 4 2011 Multisorted dualisability: change of base. Zbl 1235.08004Davey, B. A.; Gouveia, M. J.; Haviar, M.; Priestley, H. A. 4 2011 Flat unars: the primal, the semi-primal and the dualisable. Zbl 1207.08001Clark, D. M.; Davey, B. A.; Pitkethly, J. G.; Rifqui, D. L. 5 2010 Using coloured ordered sets to study finite-level full dualities. Zbl 1206.06007Davey, Brian A.; Haviar, Miroslav; Pitkethly, Jane G. 4 2010 Counting the relations compatible with an algebra. Zbl 1238.08001Davey, Brian A.; Pitkethly, Jane G. 3 2010 The axiomatizability of topological prevarieties. Zbl 1148.08003Clark, D. M.; Davey, B. A.; Jackson, M. G.; Pitkethly, J. G. 17 2008 Principal and syntactic congruences in congruence-distributive and congruence-permutable varieties. Zbl 1160.08005Davey, Brian A.; Jackson, Marcel; Maróti, Miklós; McKenzie, Ralph N. 7 2008 Natural dualities for semilattice-based algebras. Zbl 1133.08003Davey, B. A.; Jackson, M.; Pitkethly, J. G.; Talukder, M. R. 13 2007 Boolean topological distributive lattices and canonical extensions. Zbl 1122.06004Davey, B. A.; Haviar, M.; Priestley, H. A. 10 2007 Not every full duality is strong! Zbl 1140.08003Clark, David M.; Davey, Brian A.; Willard, Ross 6 2007 Dualisability versus residual character: a theorem and a counterexample. Zbl 1119.08001Davey, Brian A.; Pitkethly, Jane G.; Willard, Ross 5 2007 When is a full duality strong? Zbl 1118.08003Davey, Brian A.; Haviar, Miroslav; Niven, Todd 4 2007 Full but not strong dualities at the finite level: extending the realm. Zbl 1120.08003Davey, Brian A.; Haviar, Miroslav; Niven, Todd; Perkal, Narwin 3 2007 Natural dualities for structures. Zbl 1132.08003Davey, Brian A. 11 2006 Dualisability. Unary algebras and beyond. Zbl 1085.08001Pitkethly, Jane; Davey, Brian 20 2005 Structural entailment. Zbl 1090.08009Davey, Brian A.; Haviar, Miroslav; Willard, Ross 11 2005 Full does not imply strong, does it? Zbl 1090.08008Davey, Brian A.; Haviar, Miroslav; Willard, Ross 10 2005 Dual categories for endodualisable Heyting algebras: optimization and axiomatization. Zbl 1092.06010Davey, B. A.; Talukder, M. R. 5 2005 Standard topological algebras: syntactic and principal congruences and profiniteness. Zbl 1088.08006Clark, David M.; Davey, Brian A.; Freese, Ralph S.; Jackson, Marcel 22 2004 Applications of Priestley duality in transferring optimal dualities. Zbl 1082.08005Davey, Brian A.; Haviar, Miroslav 4 2004 Standard topological quasi-varieties. Zbl 1141.08301Clark, D. M.; Davey, B. A.; Haviar, M.; Pitkethly, J. G.; Talukder, M. R. 10 2003 The complexity of dualisability: Three-element unary algebras. Zbl 1051.08006Clark, D. M.; Davey, B. A.; Pitkethly, J. G. 7 2003 A coalgebraic view of Heyting duality. Zbl 1037.06008Davey, Brian A.; Galati, John C. 6 2003 Transferring optimal dualities: Theory and practice. Zbl 1047.08006Davey, B. A.; Haviar, M. 3 2003 Functor category dualities for varieties of Heyting algebras. Zbl 1027.06013Davey, B. A.; Talukder, M. R. 2 2003 Introduction to lattices and order. 2nd ed. Zbl 1002.06001Davey, B. A.; Priestley, H. A. 555 2002 Binary homomorphisms and natural dualities. Zbl 0996.08004Clark, D. M.; Davey, B. A.; Pitkethly, J. G. 9 2002 From rectangular bands to \(k\)-primal algebras. Zbl 0997.08002Davey, Brian A.; Knox, Bradley J. 5 2002 A non-dualisable entropic algebra. Zbl 1060.08005Pitkethly, J. G.; Davey, B. A. 1 2002 The dualisability of a quasi-variety is independent of the generating algebra. Zbl 1039.08006Davey, Brian A.; Willard, Ross 16 2001 Kleene algebras: a case-study of clones and dualities from endomorphisms. Zbl 0980.08002Davey, B. A.; Haviar, M.; Priestley, H. A. 5 2001 Dualisability of \(p\)-semilattices. Zbl 0982.06005Davey, B. A.; Pitkethly, J. G. 2 2001 Dualizability and graph algebras. Zbl 0945.08001Davey, Brian A.; Idziak, Paweł M.; Lampe, William A.; McNulty, George F. 12 2000 A schizophrenic operation which aids the efficient transfer of strong dualities. Zbl 0978.08008Davey, B. A.; Haviar, M. 6 2000 Regularising natural dualities. Zbl 0946.08004Davey, B. A.; Knox, B. J. 5 1999 Natural dualities for the working algebraist. Zbl 0910.08001Clark, David M.; Davey, Brian A. 123 1998 Endoprimal algebras. Zbl 0934.08004Davey, B. A.; Pitkethly, J. G. 11 1997 Dualisability in general and endodualisability in particular. Zbl 0863.08002Davey, Brian A. 14 1996 Optimal natural dualities for varieties of Heyting algebras. Zbl 0854.06011Davey, B. A.; Priestley, H. A. 9 1996 Optimal natural dualities. II: General theory. Zbl 0859.08007Davey, B. A.; Priestley, H. A. 9 1996 When is a natural duality ‘good’? Zbl 0856.08008Clark, D. M.; Davey, B. A. 2 1996 Natural dualities for dihedral varieties. Zbl 0879.08009Davey, B. A.; Quackenbush, R. W. 2 1996 The syntax and semantics of entailment in duality theory. Zbl 0845.08006Davey, B. A.; Haviar, M.; Priestley, H. A. 18 1995 Near unanimity: An obstacle to general duality theory. Zbl 0824.08007Davey, B. A.; Heindorf, L.; McKenzie, R. 14 1995 Endoprimal distributive lattices are endodualisable. Zbl 0833.06012Davey, B. A.; Haviar, M.; Priestley, H. A. 8 1995 The quest for strong dualities. Zbl 0839.08005Clark, David M.; Davey, Brian A. 5 1995 Bookkeeping duality for paraprimal algebras. Zbl 0884.08009Davey, B. A.; Quackenbush, R. W. 2 1995 Braids and their monotone clones. Zbl 0811.08004Davey, B. A.; Nation, J. B.; McKenzie, R. N.; Pálfy, P. P. 7 1994 Duality theory on ten dollars a day. Zbl 0793.08001Davey, Brian A. 20 1993 Optimal natural dualities. Zbl 0804.06014Davey, B. A.; Priestley, H. A. 13 1993 Partition-induced natural dualities for varieties of pseudo-complemented distributive lattices. Zbl 0781.06008Davey, B. A.; Priestley, H. A. 6 1993 From the subalgebras of the square to the discriminator. Zbl 0745.08002Davey, Brian A.; Schumann, V. J.; Werner, Heinrich 4 1991 Introduction to lattices and order. Zbl 0701.06001Davey, B. A.; Priestley, H. A. 431 1990 Monotone clones and congruence modularity. Zbl 0711.08008Davey, B. A. 13 1990 Monotone clones and the varieties they determine. Zbl 0734.08001Davey, B. A.; Quackenbush, R. W.; Schweigert, D. 12 1990 Generalised piggyback dualities and applications to Ockham algebras. Zbl 0692.08012Davey, B. A.; Priestley, H. A. 24 1987 Quasi-identities, Mal’cev conditions and congruence regularity. Zbl 0629.08004Davey, B. A.; Miles, K. R.; Schumann, V. J. 5 1987 Semimodular lattices with isomorphic graphs. Zbl 0624.06007Ratanaprasert, C.; Davey, B. A. 4 1987 Annihilators in modular lattices. Zbl 0613.06004Davey, Brian A.; Nieminen, Juhani 8 1986 Lattices of homomorphisms. Zbl 0596.06006Davey, B. A.; Priestley, H. A. 3 1986 Absolute subretracts and weak injectives in congruence modular varieties. Zbl 0684.08002Davey, Brian A.; Kovács, L. G. 2 1986 Piggyback dualities. Zbl 0603.08011Davey, Brian A.; Werner, Heinrich 2 1986 Piggyback-Dualitäten. (Piggyback dualities). Zbl 0609.08004Davey, Brian A.; Werner, Heinrich 18 1985 Tensor products and entropic varieties. Zbl 0604.08004Davey, Brian A.; Davis, Gary 12 1985 Dualities and equivalences for varieties of algebras. Zbl 0532.08003Davey, Brian A.; Werner, Heinrich 15 1983 Exponentiation and duality. Zbl 0509.06001Davey, B. A.; Duffus, D. 12 1982 Dualities for Stone algebras, double Stone algebras, and relative Stone algebras. Zbl 0514.06008Davey, Brian A. 10 1982 Exponents of lattice-ordered algebras. Zbl 0499.06015Davey, Brian A.; Rival, Ivan 7 1982 Distributivity of coproducts over products. Zbl 0472.08010Davey, Brian A.; Werner, Heinrich 3 1981 A representation theory for the variety generated by the triangle. Zbl 0481.06012Davey, B. A.; McCarthy, M. J. 1 1981 Dualities and equivalences for varieties of algebras. Zbl 0503.08011Davey, Brian A.; Werner, Heinrich 13 1980 The free p-algebra generated by a distributive lattice. Zbl 0386.06003Davey, Brian A.; Goldberg, Moshe S. 5 1980 On the lattice of subvarieties. Zbl 0396.08008Davey, Brian A. 20 1979 Injectivity and Boolean powers. Zbl 0402.08010Davey, Brian A.; Werner, Heinrich 13 1979 Subdirectly irreducible distributive double p-algebras. Zbl 0381.06019Davey, Brian A. 29 1978 Exponents of finite simple lattices. Zbl 0391.06006Davey, B. A.; Duffus, D.; Quackenbush, R. W.; Rival, I. 8 1978 Topological duality for prevarieties of universal algebras. Zbl 0477.08007Davey, Brian A. 6 1978 Weak injectivity and congruence extension in congruence-distributive equational classes. Zbl 0347.08003Davey, Brian A. 16 1977 An application of Whitman’s condition to lattices with no infinite chains. Zbl 0356.06013Davey, Brian A.; Sands, Bill 10 1977 Dualities for equational classes of Brouwerian and Heyting algebras. Zbl 0319.06007Davey, Brian A. 22 1976 Finite sublattices of three-generated lattices. Zbl 0326.06003Davey, Brian A.; Rival, Ivan 4 1976 A characterization of semi-distributivity. Zbl 0313.06002Davey, B. A.; Poguntke, W.; Rival, I. 16 1975 Some annihilator conditions on distributive lattices. Zbl 0299.06007Davey, Brian A. 17 1974 Free products of bounded distributive lattices. Zbl 0299.06008Davey, Brian A. 6 1974 Sheaf spaces and sheaves of universal algebras. Zbl 0259.08002Davey, Brian A. 20 1973 A note on representable posets. Zbl 0289.06005Davey, Brian A. 4 1973 \(m\)-Stone lattices. Zbl 0258.06007Davey, B. A. 3 1972 all cited Publications top 5 cited Publications all top 5 Cited by 1,481 Authors 49 Davey, Brian A. 35 Priestley, Hilary A. 25 Li, Qingguo 22 Haviar, Miroslav 18 Pitkethly, Jane G. 16 Grabisch, Michel 16 Tepavčević, Andreja 15 Šešelja, Branimir 14 Couceiro, Miguel 14 Sichler, Jiří Jan 13 Guo, Lankun 13 Jackson, Marcel G. 13 Medina, Jesús 12 Cabrer, Leonardo Manuel 12 de Cooman, Gert 12 Valero, Oscar 11 De Baets, Bernard 11 Gehrke, Mai 11 Palmigiano, Alessandra 10 Farley, Jonathan David 10 Nourine, Lhouari 10 Romanowska, Anna B. 10 Smith, Jonathan Dallas Hayden 9 Clark, David Michael 9 Koubek, Vaclav 9 Li, Yongming 8 Celani, Sergio Arturo 8 Conradie, Willem J. 8 Quackenbush, Robert W. 8 Santocanale, Luigi 7 Beazer, Rod 7 Di Nola, Antonio 7 González, Luciano Javier 7 Gouveia, Maria João 7 Jansana, Ramon 7 Luo, Minxia 7 Monjardet, Bernard 7 Pouzet, Maurice 6 Halaš, Radomír 6 Kelarev, Andrei Vladimirovich 6 McKenzie, Ralph N. 6 Morvan, Michel 6 Mühle, Henri 6 Palmeira, Eduardo Silva 6 Phan, Thi Ha Duong 6 Ramírez-Poussa, Eloisa 6 Rémila, Eric 6 Rivieccio, Umberto 6 Schellekens, Michel P. 6 Tsinakis, Constantine 6 Waldhauser, Tamás 6 Zhao, Bin 5 Blyth, Tom S. 5 Chajda, Ivan 5 Cignoli, Roberto 5 Ésik, Zoltán 5 Gao, Ninghua 5 Garg, Vijay K. 5 Goldberg, Moshe S. 5 Järvinen, Jouni 5 Jaulin, Luc 5 Kearnes, Keith A. 5 Kohlas, Jürg 5 Künzi, Hans-Peter A. 5 Latapy, Matthieu 5 Li, Zhaowen 5 Maruyama, Yoshihiro 5 Möller, Bernhard 5 Mormann, Thomas 5 Niederle, Josef 5 Pultr, Aleš 5 Radeleczki, Sándor 5 Raynaud, Olivier 5 Reffett, Kevin L. 5 Száz, Árpád 5 Teheux, Bruno 5 Trotta, Belinda 5 Willard, Ross 5 Xin, Xiaolong 5 Zádori, László 4 Ball, Richard N. 4 Bělohlávek, Radim 4 Cao, Yongzhi 4 Chiaselotti, Giampiero 4 Consolini, Luca 4 Craig, Andrew P. K. 4 Dolinka, Igor 4 Düntsch, Ivo 4 Dziobiak, Wiesław 4 Fang, Jie 4 Gunji, Yukio-Pegio 4 Habib, Michel A. 4 Haruna, Taichi 4 He, Pengfei 4 Hofmann, Dirk 4 Höfner, Peter 4 Horčík, Rostislav 4 Jung, Achim 4 Kerkhoff, Sebastian 4 Kerre, Etienne E. ...and 1,381 more Authors all top 5 Cited in 241 Serials 119 Algebra Universalis 81 Fuzzy Sets and Systems 76 Theoretical Computer Science 52 Order 40 Studia Logica 38 Discrete Mathematics 36 Information Sciences 32 International Journal of Approximate Reasoning 26 Journal of Pure and Applied Algebra 19 Annals of Pure and Applied Logic 19 International Journal of Algebra and Computation 17 Discrete Applied Mathematics 17 Topology and its Applications 17 Soft Computing 15 Transactions of the American Mathematical Society 15 Journal of the Australian Mathematical Society 14 Bulletin of the Australian Mathematical Society 13 Annals of Mathematics and Artificial Intelligence 12 Communications in Algebra 12 Semigroup Forum 12 Information and Computation 11 Journal of Mathematical Psychology 11 Applied Categorical Structures 10 Mathematica Slovaca 10 European Journal of Combinatorics 10 MSCS. Mathematical Structures in Computer Science 10 Asian-European Journal of Mathematics 8 Acta Informatica 8 Artificial Intelligence 8 Computers & Mathematics with Applications 8 International Journal of Theoretical Physics 8 Czechoslovak Mathematical Journal 8 Glasgow Mathematical Journal 8 The Journal of Logic and Algebraic Programming 8 Journal of Intelligent and Fuzzy Systems 8 Journal of Logical and Algebraic Methods in Programming 7 Journal of Computer and System Sciences 7 The Journal of Symbolic Logic 7 Mathematical Logic Quarterly (MLQ) 7 RAIRO. Theoretical Informatics and Applications 6 Journal of Philosophical Logic 6 Physica D 6 Linear Algebra and its Applications 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Journal of Applied Non-Classical Logics 6 Journal of Applied Logic 6 Logical Methods in Computer Science 6 Open Mathematics 5 Advances in Mathematics 5 Demonstratio Mathematica 5 Journal of Algebra 5 Journal of Combinatorial Theory. Series A 5 Quaestiones Mathematicae 5 Synthese 5 Advances in Applied Mathematics 5 Science of Computer Programming 5 Archive for Mathematical Logic 5 Iranian Journal of Fuzzy Systems 5 Logica Universalis 5 The Review of Symbolic Logic 5 Axioms 4 Information Processing Letters 4 Journal of Mathematical Economics 4 Journal of Statistical Planning and Inference 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Journal of Automated Reasoning 4 Formal Aspects of Computing 4 European Journal of Operational Research 4 Distributed Computing 4 Journal of Logic, Language and Information 4 Afrika Matematika 3 International Journal of General Systems 3 Journal of Mathematical Analysis and Applications 3 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 3 Journal of Economic Theory 3 Journal of Multivariate Analysis 3 Notre Dame Journal of Formal Logic 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Acta Mathematica Hungarica 3 Mathematical and Computer Modelling 3 International Journal of Computer Mathematics 3 Theory of Computing Systems 3 Mathematical Methods of Operations Research 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Fixed Point Theory and Applications 3 Acta Universitatis Sapientiae. Mathematica 2 Journal of Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Algebra and Logic 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 The Journal of the Indian Mathematical Society. New Series 2 Journal of Soviet Mathematics 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Theory and Decision 2 Systems & Control Letters 2 Mathematical Social Sciences 2 Statistics & Probability Letters ...and 141 more Serials all top 5 Cited in 46 Fields 640 Order, lattices, ordered algebraic structures (06-XX) 400 Computer science (68-XX) 351 Mathematical logic and foundations (03-XX) 258 General algebraic systems (08-XX) 106 Category theory; homological algebra (18-XX) 99 General topology (54-XX) 97 Combinatorics (05-XX) 69 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 55 Group theory and generalizations (20-XX) 37 Associative rings and algebras (16-XX) 30 Statistics (62-XX) 26 Convex and discrete geometry (52-XX) 20 Operations research, mathematical programming (90-XX) 18 Probability theory and stochastic processes (60-XX) 18 Information and communication theory, circuits (94-XX) 17 Quantum theory (81-XX) 17 Systems theory; control (93-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Measure and integration (28-XX) 14 Functional analysis (46-XX) 13 Commutative algebra (13-XX) 12 Operator theory (47-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Numerical analysis (65-XX) 11 Biology and other natural sciences (92-XX) 10 Topological groups, Lie groups (22-XX) 6 Number theory (11-XX) 6 Nonassociative rings and algebras (17-XX) 6 Ordinary differential equations (34-XX) 5 Algebraic geometry (14-XX) 5 Real functions (26-XX) 5 Difference and functional equations (39-XX) 4 General and overarching topics; collections (00-XX) 4 Field theory and polynomials (12-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Approximations and expansions (41-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 2 History and biography (01-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Relativity and gravitational theory (83-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geophysics (86-XX) Citations by Year