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## Horn, Alfred

Compute Distance To:
 Author ID: horn.alfred Published as: Horn, Alfred; Horn, A. External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 35 Publications since 1948
all top 5

#### Co-Authors

 16 single-authored 5 Balbes, Raymond 4 Epstein, George 2 Chang, Chen-Chung 1 Amir-Moéz, Ali R. 1 Fraser, Grant A. 1 Galvin, Fred 1 Hodges, Joseph L. jun. 1 Kimura, Naoki 1 Steinberg, Robert 1 Tarski, Alfred 1 Valentine, Frederick Albert
all top 5

#### Serials

 6 Pacific Journal of Mathematics 4 Algebra Universalis 4 The Journal of Symbolic Logic 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 2 American Mathematical Monthly 2 Duke Mathematical Journal 2 Fundamenta Mathematicae 1 American Journal of Mathematics 1 Notre Dame Journal of Formal Logic 1 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society 1 Journal of the London Mathematical Society

#### Fields

 7 Order, lattices, ordered algebraic structures (06-XX) 5 Mathematical logic and foundations (03-XX) 3 General algebraic systems (08-XX)

#### Citations contained in zbMATH Open

33 Publications have been cited 835 times in 761 Documents Cited by Year
Doubly stochastic matrices and the diagonal of a rotation matrix. Zbl 0055.24601
Horn, Alfred
1954
Eigenvalues of sums of Hermitian matrices. Zbl 0112.01501
Horn, A.
1962
Measures in Boolean algebras. Zbl 0035.03001
Horn, Alfred; Tarski, Alfred
1948
Congruence relations in direct products. Zbl 0241.08004
Fraser, Grant A.; Horn, Alfred
1970
On sentences which are true of direct unions of algebras. Zbl 0043.24801
Horn, Alfred
1951
Logic with truth values in a linearly ordered Heyting algebra. Zbl 0181.29904
Horn, A.
1969
Stone lattices. Zbl 0207.02802
Balbes, R.; Horn, A.
1970
On the singular values of a product of completely continuous operators. Zbl 0038.07201
Horn, Alfred
1950
The category of semilattices. Zbl 0249.06004
Horn, Alfred; Kimura, Naoki
1971
On the eigenvalues of a matrix with prescribed singular values. Zbl 0055.00908
Horn, Alfred
1954
The separation theorem of intuitionist propositional calculus. Zbl 0117.25302
Horn, A.
1963
Free L-algebras. Zbl 0181.30001
Horn, A.
1969
Projective distributive lattices. Zbl 0185.03602
Balbes, Raymond; Horn, Alfred
1970
Injective and projective Heyting algebras. Zbl 0199.32203
Balbes, R.; Horn, A.
1970
P-algebras, an abstraction from Post algebras. Zbl 0294.06010
Epstein, George; Horn, Alfred
1974
Logics which are characterized by subresiduated lattices. Zbl 0347.02040
Epstein, George; Horn, Alfred
1976
Some properties of $$L$$ sets in the plane. Zbl 0034.10403
Horn, Alfred; Valentine, F. A.
1949
The normal completion of a subset of a complete lattice and lattices of continuous functions. Zbl 0050.16803
Horn, Alfred
1953
A characterization of unions of linearly independent sets. Zbl 0066.04102
Horn, Alfred
1955
Singular values of a matrix. Zbl 0084.01801
Amir-Moéz, Ali R.; Horn, Alfred
1958
Order sums of distributive lattices. Zbl 0157.34401
Balbes, R.; Horn, A.
1967
Eigenvalues of the unitary part of a matrix. Zbl 0087.01703
Horn, Alfred; Steinberg, Robert
1959
On the representation of $$\alpha$$-complete lattices. Zbl 0109.25302
Chang, C. C.; Horn, A.
1962
Prime ideal characterization of generalized Post algebras. Zbl 0108.00505
Chang, Chen Chung; Horn, Alfred
1961
Some generalizations of Helly’s theorem on convex sets. Zbl 0035.10802
Horn, Alfred
1949
A property of free Boolean algebras. Zbl 0153.33402
Horn, A.
1968
Operations preserving all equivalence relations. Zbl 0209.04202
Galvin, F.; Horn, A.
1970
Chain based lattices. Zbl 0307.06008
Epstein, G.; Horn, A.
1974
Free S5 algebras. Zbl 0368.02023
Horn, Alfred
1978
An extension of Mirsky’s existence theorem. Zbl 0104.09203
Horn, Alfred
1961
On $$\alpha$$-homomorphic images of $$\alpha$$-rings of sets. Zbl 0104.25901
Horn, A.
1962
On Maharam’s conditions for measure. Zbl 0032.14901
Hodges, J. L. jun.; Horn, A.
1948
Projective covers of distributive lattices. Zbl 0359.06023
Balbes, Raymond; Horn, Alfred
1976
Free S5 algebras. Zbl 0368.02023
Horn, Alfred
1978
Logics which are characterized by subresiduated lattices. Zbl 0347.02040
Epstein, George; Horn, Alfred
1976
Projective covers of distributive lattices. Zbl 0359.06023
Balbes, Raymond; Horn, Alfred
1976
P-algebras, an abstraction from Post algebras. Zbl 0294.06010
Epstein, George; Horn, Alfred
1974
Chain based lattices. Zbl 0307.06008
Epstein, G.; Horn, A.
1974
The category of semilattices. Zbl 0249.06004
Horn, Alfred; Kimura, Naoki
1971
Congruence relations in direct products. Zbl 0241.08004
Fraser, Grant A.; Horn, Alfred
1970
Stone lattices. Zbl 0207.02802
Balbes, R.; Horn, A.
1970
Projective distributive lattices. Zbl 0185.03602
Balbes, Raymond; Horn, Alfred
1970
Injective and projective Heyting algebras. Zbl 0199.32203
Balbes, R.; Horn, A.
1970
Operations preserving all equivalence relations. Zbl 0209.04202
Galvin, F.; Horn, A.
1970
Logic with truth values in a linearly ordered Heyting algebra. Zbl 0181.29904
Horn, A.
1969
Free L-algebras. Zbl 0181.30001
Horn, A.
1969
A property of free Boolean algebras. Zbl 0153.33402
Horn, A.
1968
Order sums of distributive lattices. Zbl 0157.34401
Balbes, R.; Horn, A.
1967
The separation theorem of intuitionist propositional calculus. Zbl 0117.25302
Horn, A.
1963
Eigenvalues of sums of Hermitian matrices. Zbl 0112.01501
Horn, A.
1962
On the representation of $$\alpha$$-complete lattices. Zbl 0109.25302
Chang, C. C.; Horn, A.
1962
On $$\alpha$$-homomorphic images of $$\alpha$$-rings of sets. Zbl 0104.25901
Horn, A.
1962
Prime ideal characterization of generalized Post algebras. Zbl 0108.00505
Chang, Chen Chung; Horn, Alfred
1961
An extension of Mirsky’s existence theorem. Zbl 0104.09203
Horn, Alfred
1961
Eigenvalues of the unitary part of a matrix. Zbl 0087.01703
Horn, Alfred; Steinberg, Robert
1959
Singular values of a matrix. Zbl 0084.01801
Amir-Moéz, Ali R.; Horn, Alfred
1958
A characterization of unions of linearly independent sets. Zbl 0066.04102
Horn, Alfred
1955
Doubly stochastic matrices and the diagonal of a rotation matrix. Zbl 0055.24601
Horn, Alfred
1954
On the eigenvalues of a matrix with prescribed singular values. Zbl 0055.00908
Horn, Alfred
1954
The normal completion of a subset of a complete lattice and lattices of continuous functions. Zbl 0050.16803
Horn, Alfred
1953
On sentences which are true of direct unions of algebras. Zbl 0043.24801
Horn, Alfred
1951
On the singular values of a product of completely continuous operators. Zbl 0038.07201
Horn, Alfred
1950
Some properties of $$L$$ sets in the plane. Zbl 0034.10403
Horn, Alfred; Valentine, F. A.
1949
Some generalizations of Helly’s theorem on convex sets. Zbl 0035.10802
Horn, Alfred
1949
Measures in Boolean algebras. Zbl 0035.03001
Horn, Alfred; Tarski, Alfred
1948
On Maharam’s conditions for measure. Zbl 0032.14901
Hodges, J. L. jun.; Horn, A.
1948
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#### Cited by 818 Authors

 15 Thompson, Robert C. 14 Chajda, Ivan 14 Tam, Tin-Yau 13 Li, Chi-Kwong 11 Poon, Yiu-Tung 9 Katriňák, Tibor 8 Mirsky, Leon 7 Au-Yeung, Yik-Hoi 7 Duda, Jaromír 7 Johnson, Charles Royal 7 Mundici, Daniele 7 Vaggione, Diego Jose 6 Bloch, Anthony M. 6 Cignoli, Roberto 6 Horn, Alfred 6 Nam, Tran Giang 6 Pinus, Aleksandr Georgievich 6 Sankappanavar, Hanamantagouda P. 5 Beazer, Rod 5 Bulman-Fleming, Sydney 5 Castiglioni, José Luis 5 Davey, Brian A. 5 Di Nola, Antonio 5 Düntsch, Ivo 5 Horn, Roger Alan 5 Jasper, John 5 Katsov, Yefim 5 Marques de Sá, Eduardo 5 Marra, Vincenzo 5 Pták, Pavel 5 Ratiu, Tudor Stefan 5 Tsing, Nam-Kiu 4 Aguzzoli, Stefano 4 Balbes, Raymond 4 Bercovici, Hari 4 Bownik, Marcin 4 Brockett, Roger Ware 4 Cabrer, Leonardo Manuel 4 Celani, Sergio Arturo 4 Chan, Nai Ng 4 Citkin, Alex 4 Creignou, Nadia 4 Davis, Chandler 4 De Simone, Anna 4 Dykema, Kenneth J. 4 Fiedler, Miroslav 4 Li, Wing Suet 4 Mathias, Roy 4 San Martín, Hernán Javier 4 Skoufranis, Paul 4 Spinks, Matthew 3 Adámek, Jiří 3 Arias, Marta 3 Badawy, Abd El-Mohsen 3 Bova, Simone 3 Burris, Stanley N. 3 Casazza, Peter George 3 Chafaï, Djalil 3 Cheng, Cheman 3 Chu, Moody T. 3 Dăneţ, Nicolae 3 D’Antona, Ottavio M. 3 Epstein, George 3 Fickus, Matthew C. 3 Friedland, Shmuel 3 Gerla, Brunella 3 Goudsmit, Jeroen P. 3 Grigolia, Revaz 3 Hoffman, Alan J. 3 Hosoi, Tsutomu 3 Jansana, Ramon 3 Khomich, V. I. 3 Ladzianska, Zuzana 3 Länger, Helmut M. 3 Lei, Tiangang 3 Makino, Kazuhisa 3 Malyugin, Sergey Artem’evich 3 Massey, Pedro G. 3 McDowell, Kenneth P. 3 Miranda, Hector F. 3 Monjardet, Bernard 3 Paneitz, Stephen M. 3 Pietsch, Albrecht 3 Poteet, Miriam J. 3 Quackenbush, Robert W. 3 Richmond, Edward 3 Rump, Wolfgang 3 Schein, Boris M. 3 Schmid, Jurg 3 Torrens Torrell, Antoni 3 Trotter, Peter G. 3 Tsinakis, Constantine 3 van der Walt, Jan Harm 3 Walter, Michael 3 Weiss, Gary 3 Werner, Heinrich 2 Abbes, Samy 2 Adler, Joël 2 Alaba, Berhanu Assaye 2 Alekseev, Anton Yu. ...and 718 more Authors
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#### Cited in 204 Serials

 83 Algebra Universalis 74 Linear Algebra and its Applications 41 Linear and Multilinear Algebra 26 Studia Logica 23 Proceedings of the American Mathematical Society 17 Transactions of the American Mathematical Society 16 Journal of Mathematical Analysis and Applications 14 Czechoslovak Mathematical Journal 14 Journal of Functional Analysis 13 Soft Computing 11 Fuzzy Sets and Systems 10 Advances in Mathematics 10 Journal of Algebra 9 Artificial Intelligence 9 Mathematica Slovaca 9 Monatshefte für Mathematik 8 Annals of Pure and Applied Logic 7 Algebra and Logic 7 Archiv der Mathematik 7 Glasgow Mathematical Journal 7 The Journal of Symbolic Logic 7 Siberian Mathematical Journal 7 Theoretical Computer Science 7 Order 6 Mathematische Annalen 6 Semigroup Forum 6 Archive for Mathematical Logic 5 Mathematical Notes 5 Journal of Pure and Applied Algebra 5 Mathematische Zeitschrift 5 Acta Mathematica Hungarica 4 Acta Mathematica Academiae Scientiarum Hungaricae 4 Discrete Mathematics 4 Israel Journal of Mathematics 4 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 4 Synthese 4 Systems & Control Letters 4 Journal of the American Mathematical Society 4 International Journal of Algebra and Computation 4 Journal of Algebra and its Applications 3 Bulletin of the Australian Mathematical Society 3 Communications in Mathematical Physics 3 Discrete Applied Mathematics 3 Journal of Mathematical Physics 3 Mathematics of Computation 3 Annales de l’Institut Fourier 3 Inventiones Mathematicae 3 Mathematische Nachrichten 3 Numerische Mathematik 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Quaestiones Mathematicae 3 Results in Mathematics 3 Topology and its Applications 3 Information and Computation 3 SIAM Journal on Matrix Analysis and Applications 3 Aequationes Mathematicae 3 Bulletin of the American Mathematical Society. New Series 3 Positivity 3 Proceedings of the Japan Academy 3 Asian-European Journal of Mathematics 3 The Review of Symbolic Logic 2 International Journal of Theoretical Physics 2 Arkiv för Matematik 2 Beiträge zur Algebra und Geometrie 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Commentationes Mathematicae Universitatis Carolinae 2 Compositio Mathematica 2 Computing 2 Integral Equations and Operator Theory 2 Journal of Multivariate Analysis 2 Notre Dame Journal of Formal Logic 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Bulletin of the Section of Logic 2 European Journal of Combinatorics 2 Advances in Applied Mathematics 2 Probability Theory and Related Fields 2 International Journal of Approximate Reasoning 2 SIAM Journal on Optimization 2 Journal of Algebraic Combinatorics 2 Applied and Computational Harmonic Analysis 2 Mathematical Logic Quarterly (MLQ) 2 Advances in Computational Mathematics 2 The Bulletin of Symbolic Logic 2 Annals of Mathematics and Artificial Intelligence 2 Erkenntnis 2 Journal of the Australian Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Applied Logic 2 Bulletin of the American Mathematical Society 2 Matematický Časopis, Slovenskej Akadémie Vied 2 Logical Methods in Computer Science 2 Chamchuri Journal of Mathematics 2 Special Matrices 1 American Mathematical Monthly 1 Archiv für Mathematische Logik und Grundlagenforschung 1 Archive for Rational Mechanics and Analysis 1 International Journal of General Systems 1 International Journal of Systems Science 1 Information Processing Letters ...and 104 more Serials
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#### Cited in 49 Fields

 202 Order, lattices, ordered algebraic structures (06-XX) 191 Linear and multilinear algebra; matrix theory (15-XX) 172 Mathematical logic and foundations (03-XX) 110 General algebraic systems (08-XX) 50 Computer science (68-XX) 47 Operator theory (47-XX) 43 Functional analysis (46-XX) 36 Combinatorics (05-XX) 35 Group theory and generalizations (20-XX) 30 Measure and integration (28-XX) 29 Category theory; homological algebra (18-XX) 29 Probability theory and stochastic processes (60-XX) 24 Topological groups, Lie groups (22-XX) 23 Algebraic geometry (14-XX) 22 Convex and discrete geometry (52-XX) 21 Numerical analysis (65-XX) 21 Quantum theory (81-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 18 General topology (54-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 Associative rings and algebras (16-XX) 11 Differential geometry (53-XX) 9 Real functions (26-XX) 9 Statistics (62-XX) 9 Operations research, mathematical programming (90-XX) 8 Number theory (11-XX) 8 Nonassociative rings and algebras (17-XX) 8 Systems theory; control (93-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Partial differential equations (35-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 History and biography (01-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Information and communication theory, circuits (94-XX) 5 Commutative algebra (13-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Field theory and polynomials (12-XX) 3 Ordinary differential equations (34-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX)

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