Alfred Horn

2.8k total citations
35 papers, 1.4k citations indexed

About

Alfred Horn is a scholar working on Computational Theory and Mathematics, Artificial Intelligence and Algebra and Number Theory. According to data from OpenAlex, Alfred Horn has authored 35 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Computational Theory and Mathematics, 10 papers in Artificial Intelligence and 5 papers in Algebra and Number Theory. Recurrent topics in Alfred Horn's work include Advanced Algebra and Logic (22 papers), Logic, Reasoning, and Knowledge (9 papers) and Matrix Theory and Algorithms (7 papers). Alfred Horn is often cited by papers focused on Advanced Algebra and Logic (22 papers), Logic, Reasoning, and Knowledge (9 papers) and Matrix Theory and Algorithms (7 papers). Alfred Horn collaborates with scholars based in United States and Japan. Alfred Horn's co-authors include Raymond Balbes, George Epstein, Naoki Kimura, Robert Steinberg, Chang Chen and Fred Galvin and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Pacific Journal of Mathematics.

In The Last Decade

Alfred Horn

35 papers receiving 1.1k citations

Peers

Alfred Horn
T. S. Motzkin United States
E. G. Straus United States
W. J. LeVeque
N. J. Fine United States
József Beck United States
Andrzej Trybulec Poland
D. H. Lehmer United States
Grzegorz Bancerek Poland
L. Kuipers United States
Alexander Ostrowski Switzerland
T. S. Motzkin United States
Alfred Horn
Citations per year, relative to Alfred Horn Alfred Horn (= 1×) peers T. S. Motzkin

Countries citing papers authored by Alfred Horn

Since Specialization
Citations

This map shows the geographic impact of Alfred Horn's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Alfred Horn with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alfred Horn more than expected).

Fields of papers citing papers by Alfred Horn

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alfred Horn. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Alfred Horn. The network helps show where Alfred Horn may publish in the future.

Co-authorship network of co-authors of Alfred Horn

This figure shows the co-authorship network connecting the top 25 collaborators of Alfred Horn. A scholar is included among the top collaborators of Alfred Horn based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Alfred Horn. Alfred Horn is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Horn, Alfred. (1978). Free ${\rm S}5$ algebras.. Notre Dame Journal of Formal Logic. 19(1). 3 indexed citations
2.
Balbes, Raymond & Alfred Horn. (1976). Projective covers of distributive lattices. Algebra Universalis. 6(1). 277–290. 1 indexed citations
3.
Epstein, George & Alfred Horn. (1974). Finite limitations on a propositional calculus for affirmation and negation. 3(1). 2 indexed citations
4.
Epstein, George & Alfred Horn. (1974). Chain based lattices. Pacific Journal of Mathematics. 55(1). 65–84. 29 indexed citations
5.
Horn, Alfred & Naoki Kimura. (1971). The category of semilattices. Algebra Universalis. 1(1). 26–38. 55 indexed citations
6.
Balbes, Raymond & Alfred Horn. (1970). Injective and Projective Heyting Algebras. Transactions of the American Mathematical Society. 148(2). 549–549. 6 indexed citations
7.
Galvin, Fred & Alfred Horn. (1970). Operations preserving all equivalence relations. Proceedings of the American Mathematical Society. 24(3). 521–523. 2 indexed citations
8.
Galvin, Fred & Alfred Horn. (1970). Operations Preserving All Equivalence Relations. Proceedings of the American Mathematical Society. 24(3). 521–521. 1 indexed citations
9.
Balbes, Raymond & Alfred Horn. (1970). Injective and projective Heyting algebras. Transactions of the American Mathematical Society. 148(2). 549–559. 25 indexed citations
10.
Horn, Alfred, et al.. (1970). Congruence Relations in Direct Products. Proceedings of the American Mathematical Society. 26(3). 390–390. 18 indexed citations
11.
Horn, Alfred. (1969). Free L-algebras. Journal of Symbolic Logic. 34(3). 475–480. 32 indexed citations
12.
Horn, Alfred. (1968). A Property of Free Boolean Algebras. Proceedings of the American Mathematical Society. 19(1). 142–142. 2 indexed citations
13.
Horn, Alfred. (1968). A property of free Boolean algebras. Proceedings of the American Mathematical Society. 19(1). 142–143. 5 indexed citations
14.
Balbes, Raymond & Alfred Horn. (1967). Order sums of distributive lattices. Pacific Journal of Mathematics. 21(3). 421–435. 25 indexed citations
15.
Horn, Alfred. (1962). Eigenvalues of sums of Hermitian matrices. Pacific Journal of Mathematics. 12(1). 225–241. 188 indexed citations
16.
Horn, Alfred. (1961). An Extension of Mirsky's Existence Theorem. American Mathematical Monthly. 68(8). 772–772. 1 indexed citations
17.
Horn, Alfred. (1954). On the Eigenvalues of a Matrix with Prescribed Singular Values. Proceedings of the American Mathematical Society. 5(1). 4–4. 35 indexed citations
18.
Horn, Alfred. (1954). On the eigenvalues of a matrix with prescribed singular values. Proceedings of the American Mathematical Society. 5(1). 4–7. 64 indexed citations
19.
Horn, Alfred. (1953). The normal completion of a subset of a complete lattice and lattices of continuous functions. Pacific Journal of Mathematics. 3(1). 137–152. 28 indexed citations
20.
Horn, Alfred. (1951). On sentences which are true of direct unions of algebras. Journal of Symbolic Logic. 16(1). 14–21. 193 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by T. S. Motzkin Breakdown of academic impact, for papers by E. G. Straus Breakdown of academic impact, for papers by W. J. LeVeque Breakdown of academic impact, for papers by N. J. Fine Breakdown of academic impact, for papers by József Beck Breakdown of academic impact, for papers by Andrzej Trybulec Breakdown of academic impact, for papers by D. H. Lehmer Breakdown of academic impact, for papers by Grzegorz Bancerek Breakdown of academic impact, for papers by L. Kuipers Breakdown of academic impact, for papers by Alexander Ostrowski
Rankless by CCL
2026