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## Day, Alan

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 Author ID: day.alan Published as: Day, Alan; Day, A. External Links: MGP · dblp · MacTutor
 Documents Indexed: 48 Publications since 1969 Biographic References: 1 Publication
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#### Co-Authors

 29 single-authored 5 Jónsson, Bjarni 4 Nation, James B. 3 Herrmann, Christian 2 Pickering, Douglas A. 1 Bulman-Fleming, Sydney 1 Czédli, Gábor 1 Freese, Ralph S. 1 Gaskill, Herb 1 Gumm, Heinz-Peter 1 Ježek, Jaroslav 1 Kiss, Emil W. 1 Pickering, Doug 1 Poguntke, Werner 1 Taylor, Walter F. 1 Tschantz, Steven Thomas 1 Wille, Rudolf
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#### Serials

 16 Algebra Universalis 6 Canadian Mathematical Bulletin 5 Canadian Journal of Mathematics 4 Order 2 Transactions of the American Mathematical Society 1 Acta Scientiarum Mathematicarum 1 Archiv der Mathematik 1 Archivum Mathematicum 1 Journal of Algebra 1 Pacific Journal of Mathematics 1 Studia Scientiarum Mathematicarum Hungarica 1 International Journal of Algebra and Computation 1 Bulletin of the American Mathematical Society. New Series
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#### Fields

 41 Order, lattices, ordered algebraic structures (06-XX) 18 General algebraic systems (08-XX) 9 Geometry (51-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX)

#### Citations contained in zbMATH Open

46 Publications have been cited 564 times in 361 Documents Cited by Year
A characterization of modularity for congruence lattices of algebras. Zbl 0181.02302
Day, Alan
1969
Characterizations of finite lattices that are bounded-homomorphic images or sublattices of free lattices. Zbl 0432.06007
Day, Alan
1979
Filter monads, continuous lattices and closure systems. Zbl 0436.18003
Day, Alan
1975
A note on the congruence extension property. Zbl 0228.08001
Day, Alan
1971
A simple solution to the word problem for lattices. Zbl 0206.29702
Day, Alan
1970
Splitting algebras and a weak notion of projectivity. Zbl 0324.08004
Day, Alan
1975
Splitting lattices generate all lattices. Zbl 0381.06010
Day, Alan
1977
The coordinatization of Arguesian lattices. Zbl 0516.06007
Day, Alan; Pickering, Douglas
1983
Injectivity in equational classes of algebras. Zbl 0254.08008
Day, Alan
1972
The lattice theory of functional dependencies and normal decompositions. Zbl 0798.68049
Day, Alan
1992
On modular lattices with four generators. Zbl 0275.06010
Day, A.; Herrmann, C.; Wille, R.
1972
Congruence normality: The characterization of the doubling class of convex sets. Zbl 0804.06006
Day, Alan
1994
Injectives in non-distributive equational classes of lattices are trivial. Zbl 0208.29201
Day, Alan
1970
Gluings of modular lattices. Zbl 0669.06007
Day, Alan; Herrmann, Christian
1988
Doubling constructions in lattice theory. Zbl 0768.06006
Day, Alan
1992
p-modularity implies modularity in equational classes. Zbl 0288.06012
Day, A.
1973
The amalgamation property for varieties of lattices. Zbl 0548.06002
Day, Alan; Ježek, Jaroslav
1984
Frames and rings in congruence modular varieties. Zbl 0634.08005
Day, Alan; Kiss, Emil W.
1987
A note on the Arguesian lattice identity. Zbl 0616.06005
Day, Alan; Pickering, Douglas
1984
Doubling convex sets in lattices and a generalized semidistributivity condition. Zbl 0695.06005
Day, Alan; Nation, J. B.; Tschantz, Steve
1989
The structure of non-Arguesian lattices. Zbl 0577.06009
Day, Alan; Jónsson, Bjarni
1985
A characterization of identities implying congruence modularity I. Zbl 0414.08003
Day, Alan; Freese, Ralph
1980
A structural characterization of non-Arguesian lattices. Zbl 0585.06003
Day, Alan; Jónsson, Bjarni
1986
Non-Arguesian configurations in a modular lattice. Zbl 0656.06010
Day, Alan; Jónsson, Bjarni
1987
Geometrical applications in modular lattices. Zbl 0516.06008
Day, Alan
1983
Non-Arguesian configurations and gluings of modular lattices. Zbl 0675.06006
Day, Alan; Jónsson, Bjarni
1989
Horn sentences with (W) and weak Mal’cev conditions. Zbl 0549.08003
Czédli, Gábor; Day, Alan
1984
In search of a Pappian lattice identity. Zbl 0457.06005
Day, Alan
1981
Lattice conditions implying congruence modularity. Zbl 0403.08003
Day, Alan
1976
Regularity and modularity of congruences. Zbl 0296.08016
Bulman-Fleming, S.; Day, A.; Taylor, W.
1974
Distributive lattices with finite projective covers. Zbl 0415.06007
Day, Alan; Gaskill, Herb; Poguntke, Werner
1979
Small non-Arguesian lattices. Zbl 0808.06007
Day, Alan; Herrmann, Christian; Jónsson, Bjarni; Nation, J. B.; Pickering, Doug
1994
On some geometrical properties defining classes of rings and varieties of modular lattices. Zbl 0536.06009
Day, Alan
1983
A note on Arguesian lattices. Zbl 0541.06004
Day, Alan
1983
A lemma on projective geometries as modular and/or Arguesian lattices. Zbl 0517.06011
Day, Alan
1983
Splitting algebras and a weak notion of projectivity. Zbl 0296.08007
Day, Alan
1973
Some characterizations of the commutator. Zbl 0759.08008
Day, A.; Gumm, H. P.
1992
Congruence normal covers of finitely generated lattice varieties. Zbl 0768.06007
Day, Alan; Nation, J. B.
1992
Dimension equations in modular lattices. Zbl 0599.06007
Day, Alan
1986
Applications of coordinatization in modular lattice theory: The legacy of J. von Neumann. Zbl 0558.06007
Day, Alan
1985
Idempotents in the groupoid of all SP classes of lattices. Zbl 0403.06005
Day, Alan
1978
Splitting lattices and congruence modularity. Zbl 0403.08004
Day, Alan
1977
A note on finite sublattices of free lattices. Zbl 0447.06006
Day, Alan; Nation, J. B.
1982
A lattice interpretation of database dependencies. Zbl 0803.68028
Day, Alan
1993
Equational theories of projective geometries. Zbl 0535.51002
Day, A.
1983
The congruence extension property and subdirectly irreducible algebras - an example. Zbl 0273.08006
Day, A.
1973
Congruence normality: The characterization of the doubling class of convex sets. Zbl 0804.06006
Day, Alan
1994
Small non-Arguesian lattices. Zbl 0808.06007
Day, Alan; Herrmann, Christian; Jónsson, Bjarni; Nation, J. B.; Pickering, Doug
1994
A lattice interpretation of database dependencies. Zbl 0803.68028
Day, Alan
1993
The lattice theory of functional dependencies and normal decompositions. Zbl 0798.68049
Day, Alan
1992
Doubling constructions in lattice theory. Zbl 0768.06006
Day, Alan
1992
Some characterizations of the commutator. Zbl 0759.08008
Day, A.; Gumm, H. P.
1992
Congruence normal covers of finitely generated lattice varieties. Zbl 0768.06007
Day, Alan; Nation, J. B.
1992
Doubling convex sets in lattices and a generalized semidistributivity condition. Zbl 0695.06005
Day, Alan; Nation, J. B.; Tschantz, Steve
1989
Non-Arguesian configurations and gluings of modular lattices. Zbl 0675.06006
Day, Alan; Jónsson, Bjarni
1989
Gluings of modular lattices. Zbl 0669.06007
Day, Alan; Herrmann, Christian
1988
Frames and rings in congruence modular varieties. Zbl 0634.08005
Day, Alan; Kiss, Emil W.
1987
Non-Arguesian configurations in a modular lattice. Zbl 0656.06010
Day, Alan; Jónsson, Bjarni
1987
A structural characterization of non-Arguesian lattices. Zbl 0585.06003
Day, Alan; Jónsson, Bjarni
1986
Dimension equations in modular lattices. Zbl 0599.06007
Day, Alan
1986
The structure of non-Arguesian lattices. Zbl 0577.06009
Day, Alan; Jónsson, Bjarni
1985
Applications of coordinatization in modular lattice theory: The legacy of J. von Neumann. Zbl 0558.06007
Day, Alan
1985
The amalgamation property for varieties of lattices. Zbl 0548.06002
Day, Alan; Ježek, Jaroslav
1984
A note on the Arguesian lattice identity. Zbl 0616.06005
Day, Alan; Pickering, Douglas
1984
Horn sentences with (W) and weak Mal’cev conditions. Zbl 0549.08003
Czédli, Gábor; Day, Alan
1984
The coordinatization of Arguesian lattices. Zbl 0516.06007
Day, Alan; Pickering, Douglas
1983
Geometrical applications in modular lattices. Zbl 0516.06008
Day, Alan
1983
On some geometrical properties defining classes of rings and varieties of modular lattices. Zbl 0536.06009
Day, Alan
1983
A note on Arguesian lattices. Zbl 0541.06004
Day, Alan
1983
A lemma on projective geometries as modular and/or Arguesian lattices. Zbl 0517.06011
Day, Alan
1983
Equational theories of projective geometries. Zbl 0535.51002
Day, A.
1983
A note on finite sublattices of free lattices. Zbl 0447.06006
Day, Alan; Nation, J. B.
1982
In search of a Pappian lattice identity. Zbl 0457.06005
Day, Alan
1981
A characterization of identities implying congruence modularity I. Zbl 0414.08003
Day, Alan; Freese, Ralph
1980
Characterizations of finite lattices that are bounded-homomorphic images or sublattices of free lattices. Zbl 0432.06007
Day, Alan
1979
Distributive lattices with finite projective covers. Zbl 0415.06007
Day, Alan; Gaskill, Herb; Poguntke, Werner
1979
Idempotents in the groupoid of all SP classes of lattices. Zbl 0403.06005
Day, Alan
1978
Splitting lattices generate all lattices. Zbl 0381.06010
Day, Alan
1977
Splitting lattices and congruence modularity. Zbl 0403.08004
Day, Alan
1977
Lattice conditions implying congruence modularity. Zbl 0403.08003
Day, Alan
1976
Filter monads, continuous lattices and closure systems. Zbl 0436.18003
Day, Alan
1975
Splitting algebras and a weak notion of projectivity. Zbl 0324.08004
Day, Alan
1975
Regularity and modularity of congruences. Zbl 0296.08016
Bulman-Fleming, S.; Day, A.; Taylor, W.
1974
p-modularity implies modularity in equational classes. Zbl 0288.06012
Day, A.
1973
Splitting algebras and a weak notion of projectivity. Zbl 0296.08007
Day, Alan
1973
The congruence extension property and subdirectly irreducible algebras - an example. Zbl 0273.08006
Day, A.
1973
Injectivity in equational classes of algebras. Zbl 0254.08008
Day, Alan
1972
On modular lattices with four generators. Zbl 0275.06010
Day, A.; Herrmann, C.; Wille, R.
1972
A note on the congruence extension property. Zbl 0228.08001
Day, Alan
1971
A simple solution to the word problem for lattices. Zbl 0206.29702
Day, Alan
1970
Injectives in non-distributive equational classes of lattices are trivial. Zbl 0208.29201
Day, Alan
1970
A characterization of modularity for congruence lattices of algebras. Zbl 0181.02302
Day, Alan
1969
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#### Cited by 262 Authors

 21 Day, Alan 19 Nation, James B. 18 Freese, Ralph S. 14 Czédli, Gábor 14 Herrmann, Christian 11 Chajda, Ivan 7 Fried, Ervin 7 Grätzer, George 7 Kearnes, Keith A. 7 Kiss, Emil W. 7 Taylor, Walter F. 6 Jónsson, Bjarni 6 Mühle, Henri 5 Lakser, Harry 5 Lipparini, Paolo 5 McConville, Thomas 4 Baker, Kirby A. 4 Caspard, Nathalie 4 Davey, Brian A. 4 Gumm, Heinz-Peter 4 Hofmann, Dirk 4 Quackenbush, Robert W. 4 Reading, Nathan 4 Wild, Marcel 3 Adaricheva, Kira Vladislavovna 3 Agliano, Paolo 3 Berman, Joel D. 3 Clementino, Maria Manuel 3 Dziobiak, Wiesław 3 Garver, Alexander 3 Geyer, Winfried 3 Haiman, Mark D. 3 Horváth, Eszter K. 3 Katriňák, Tibor 3 López Franco, Ignacio L. 3 Manes, Ernie G. 3 McKenzie, Ralph N. 3 Monjardet, Bernard 3 Nelson, Evelyn M. 3 Sousa, Lurdes 3 Szendrei, Ágnes 3 Tschantz, Steven Thomas 3 Valeriote, Matthew A. 3 Werner, Heinrich 3 Wille, Rudolf 2 Adámek, Jiří 2 Artamonov, Vyacheslav Aleksandrovich 2 Banaschewski, Bernhard 2 Bandelt, Hans-Jürgen 2 Bergman, Clifford 2 Bertet, Karell 2 Bosbach, Bruno 2 Bourn, Dominique 2 Burris, Stanley N. 2 Carvalho, Margarida 2 Combe, Camille 2 Czelakowski, Janusz 2 Demko, Christophe 2 Duda, Jaromír 2 Ganter, Bernhard 2 Gorbunov, Viktor Aleksandrovich 2 Janelidze, Zurab 2 Ježek, Jaroslav 2 Lashkhi, Alexander A. 2 McNulty, George F. 2 Mitschke, Aleit 2 Obiedkov, Sergei A. 2 Ouwehand, Peter 2 Pickering, Douglas A. 2 Pinus, Aleksandr Georgievich 2 Poguntke, Werner 2 Rosický, Jiří 2 Sands, Bill 2 Sankappanavar, Hanamantagouda P. 2 Santocanale, Luigi 2 Schmidt, Elegius Tamas 2 Schwidefsky, Marina V. 2 Seal, Gavin J. 2 Skublics, Benedek 2 Slavík, Václav 2 Viaud, Jean-François 2 Wehrung, Friedrich 2 Willard, Ross 2 Zaretzky, Alba N. 2 Zhdanovich, P. B. 1 Abogatma, A. 1 Aichinger, Erhard 1 Albert, Dietrich 1 Albert, Michael Henry 1 Almada, Teresa 1 Bacsich, Paul D. 1 Baixeries, Jaume 1 Balcázar, José Luis 1 Baldwin, John T. 1 Bantay, Peter 1 Barnard, Emily 1 Bazhanov, Konstantin 1 Beaudou, Laurent 1 Beazer, Rod 1 Bergman, George M. ...and 162 more Authors
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#### Cited in 76 Serials

 138 Algebra Universalis 27 Order 15 Transactions of the American Mathematical Society 9 Journal of Pure and Applied Algebra 9 Mathematische Zeitschrift 7 Theoretical Computer Science 7 Applied Categorical Structures 6 Bulletin of the Australian Mathematical Society 6 Proceedings of the American Mathematical Society 5 Discrete Applied Mathematics 5 Algebra and Logic 5 Journal of Algebra 5 Journal of Combinatorial Theory. Series A 5 Topology and its Applications 4 Acta Mathematica Academiae Scientiarum Hungaricae 4 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 4 Advances in Mathematics 4 Archiv der Mathematik 4 Mathematica Slovaca 4 Semigroup Forum 4 International Journal of Algebra and Computation 3 Discrete Mathematics 3 Czechoslovak Mathematical Journal 3 Journal of Soviet Mathematics 3 Studia Logica 3 Séminaire Lotharingien de Combinatoire 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Periodica Mathematica Hungarica 2 Fuzzy Sets and Systems 2 Glasgow Mathematical Journal 2 Journal of Geometry 2 The Journal of Symbolic Logic 2 Siberian Mathematical Journal 2 Acta Mathematica Hungarica 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Mathematical Sciences (New York) 2 The Electronic Journal of Combinatorics 2 Annals of Mathematics and Artificial Intelligence 2 Matematický Časopis, Slovenskej Akadémie Vied 2 The Review of Symbolic Logic 1 Communications in Algebra 1 Communications in Mathematical Physics 1 International Journal of Theoretical Physics 1 Mathematical Notes 1 Commentationes Mathematicae Universitatis Carolinae 1 Compositio Mathematica 1 Information Sciences 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Results in Mathematics 1 Bulletin of the Section of Logic 1 Advances in Applied Mathematics 1 Annals of Pure and Applied Logic 1 Journal of Symbolic Computation 1 Mathematical and Computer Modelling 1 Mathematica Bohemica 1 MSCS. Mathematical Structures in Computer Science 1 Aequationes Mathematicae 1 International Journal of Computer Mathematics 1 Archive for Mathematical Logic 1 Finite Fields and their Applications 1 Theory and Applications of Categories 1 Soft Computing 1 Algebras and Representation Theory 1 Annals of Combinatorics 1 Journal of Biological Systems 1 Journal of the Australian Mathematical Society 1 Portugaliae Mathematica. Nova Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Journal of Algebra and its Applications 1 Advances in Data Analysis and Classification. ADAC 1 Asian-European Journal of Mathematics 1 Tbilisi Mathematical Journal 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Algebraic Combinatorics
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#### Cited in 29 Fields

 212 Order, lattices, ordered algebraic structures (06-XX) 163 General algebraic systems (08-XX) 40 Category theory; homological algebra (18-XX) 38 Mathematical logic and foundations (03-XX) 26 Group theory and generalizations (20-XX) 26 Computer science (68-XX) 23 Combinatorics (05-XX) 22 General topology (54-XX) 14 Geometry (51-XX) 12 Associative rings and algebras (16-XX) 7 History and biography (01-XX) 5 Convex and discrete geometry (52-XX) 3 Topological groups, Lie groups (22-XX) 3 Algebraic topology (55-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)