L. Fuchs

7.7k total citations · 3 hit papers
145 papers, 4.2k citations indexed

About

L. Fuchs is a scholar working on Algebra and Number Theory, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, L. Fuchs has authored 145 papers receiving a total of 4.2k indexed citations (citations by other indexed papers that have themselves been cited), including 97 papers in Algebra and Number Theory, 68 papers in Geometry and Topology and 27 papers in Computational Theory and Mathematics. Recurrent topics in L. Fuchs's work include Rings, Modules, and Algebras (94 papers), Advanced Topology and Set Theory (36 papers) and Advanced Topics in Algebra (28 papers). L. Fuchs is often cited by papers focused on Rings, Modules, and Algebras (94 papers), Advanced Topology and Set Theory (36 papers) and Advanced Topics in Algebra (28 papers). L. Fuchs collaborates with scholars based in United States, Italy and Germany. L. Fuchs's co-authors include Luigi Salce, Kulumani M. Rangaswamy, Christophe Duwig, John Dauns, Rüdiger Göbel, Saharon Shelah, Paul C. Eklof, Sang Bum Lee, J. Irwin and William Heinzer and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Pacific Journal of Mathematics.

In The Last Decade

L. Fuchs

121 papers receiving 3.3k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Infinite Abelian groups

1970 2.0k citations L. Fuchs CERN Document Server (European Organization for Nuclear Research) profile →
Abelian groups

1960 505 citations L. Fuchs profile →
Modules over Non-Noetherian Domains

2000 250 citations L. Fuchs, Luigi Salce profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
L. Fuchs United States	20	2.7k	2.3k	995	941	722	145	4.2k
George M. Bergman United States	21	1.5k 0.5×	1.7k 0.8×	762 0.8×	737 0.8×	240 0.3×	94	2.4k
Richard G. Swan United States	28	1.4k 0.5×	2.0k 0.9×	1.4k 1.4×	481 0.5×	482 0.7×	72	2.9k
John Howie United Kingdom	23	926 0.3×	1.3k 0.5×	529 0.5×	3.6k 3.8×	410 0.6×	100	4.2k
Aleš Pultr Czechia	19	751 0.3×	662 0.3×	433 0.4×	764 0.8×	135 0.2×	130	1.5k
Fred Richman United States	22	657 0.2×	653 0.3×	390 0.4×	771 0.8×	138 0.2×	120	1.7k
Oscar Zariski United States	21	1.3k 0.5×	1.8k 0.8×	613 0.6×	802 0.9×	184 0.3×	38	2.6k
Gilbert Baumslag United States	27	452 0.2×	1.8k 0.8×	1.0k 1.0×	808 0.9×	1.0k 1.4×	141	2.5k
Graham Higman Slovakia	21	425 0.2×	985 0.4×	457 0.5×	777 0.8×	1.2k 1.7×	38	2.4k
G. B. Preston United States	12	740 0.3×	846 0.4×	446 0.4×	2.5k 2.7×	159 0.2×	45	3.1k
Ralph H. Fox United States	15	210 0.1×	1.2k 0.5×	725 0.7×	389 0.4×	426 0.6×	35	1.6k

Countries citing papers authored by L. Fuchs

Since Specialization

Citations

This map shows the geographic impact of L. Fuchs'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 L. Fuchs with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites L. Fuchs more than expected).

Fields of papers citing papers by L. Fuchs

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by L. Fuchs. 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 L. Fuchs. The network helps show where L. Fuchs may publish in the future.

Co-authorship network of co-authors of L. Fuchs

This figure shows the co-authorship network connecting the top 25 collaborators of L. Fuchs. A scholar is included among the top collaborators of L. Fuchs 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 L. Fuchs. L. Fuchs is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Dvurečenskij, Anatolij, et al.. (2025). Non-commutative Bézout domains and pseudo MV-algebras. Journal of Mathematical Analysis and Applications. 549(2). 129545–129545.

2.

Fuchs, L.. (2011). Cellular covers of totally ordered abelian groups. Mathematica Slovaca. 61(3). 429–438. 2 indexed citations

3.

Fuchs, L. & Sang Bum Lee. (2010). On weak-injective modules over integral domains. Journal of Algebra. 323(7). 1872–1878. 4 indexed citations

4.

Fuchs, L., et al.. (2009). Ice accretion on wind-turbines. Lund University Publications (Lund University).

5.

Fuchs, L., William Heinzer, & Bruce Olberding. (2006). Commutative ideal theory without finiteness conditions: Completely irreducible ideals. Transactions of the American Mathematical Society. 358(7). 3113–3131. 13 indexed citations

6.

Fuchs, L. & Karl H. Hofmann. (1997). Extensions of Compact Abelian Groups by Discrete Ones and Their Duality Theory, I. Journal of Algebra. 196(2). 578–594. 2 indexed citations

7.

Fuchs, L.. (1995). Butler groups of infinite rank. Journal of Pure and Applied Algebra. 98(1). 25–44. 4 indexed citations

8.

Fuchs, L., et al.. (1994). Completely decomposable pure subgroups of completely decomposable abelian groups. Rendiconti del Seminario Matematico della Università di Padova. 92. 63–69. 1 indexed citations

9.

Fuchs, L. & Rüdiger Göbel. (1993). Abelian groups : proceedings of the 1991 Curaçao conference. M. Dekker eBooks. 3 indexed citations

10.

Eklof, Paul C., L. Fuchs, & Saharon Shelah. (1990). Baer modules over domains. Transactions of the American Mathematical Society. 322(2). 547–560. 22 indexed citations

11.

Fuchs, L., et al.. (1986). On h-Divisible Torsion Modules over Domains. Rikkyo University academic repository (Rikko Roots) (Rikkyo University). 35(1). 53–57. 4 indexed citations

12.

Fuchs, L.. (1986). Arbitrarily large indecomposable divisible torsion modules over certain valuation domains. Rendiconti del Seminario Matematico della Università di Padova. 76. 247–254. 7 indexed citations

13.

Fuchs, L., et al.. (1985). A generalization of separable torsion-free abelian groups. Rendiconti del Seminario Matematico della Università di Padova. 73. 15–21. 6 indexed citations

14.

Fuchs, L. & J. Irwin. (1982). On elongations of totally projective $p$-groups by $p^{\omega+n}$-projective $p$-groups. Czechoslovak Mathematical Journal. 32(4). 511–515. 4 indexed citations

15.

Fuchs, L. & Luigi Salce. (1977). Abelian p-groups of not limit Length. Rikkyo University academic repository (Rikko Roots) (Rikkyo University). 26(1). 25–33. 3 indexed citations

16.

Fuchs, L.. (1971). Note on certain subgroups of products of infinite cyclic groups. Rikkyo University academic repository (Rikko Roots) (Rikkyo University). 19(1). 51–54. 4 indexed citations

17.

Fuchs, L.. (1970). Infinite Abelian groups. CERN Document Server (European Organization for Nuclear Research). 2043 indexed citations breakdown →

18.

Fuchs, L.. (1969). On quasi-injective modules. French digital mathematics library (Numdam). 23(4). 541–546. 35 indexed citations

19.

Fuchs, L.. (1965). Riesz vector spaces and Riesz algebras. French digital mathematics library (Numdam). 19(2). 1–9. 12 indexed citations

20.

Fuchs, L.. (1952). On Abelian groups in which the classes of isomorphic proper subgroups contain the same number of subgroups. Czechoslovak Mathematical Journal. 2(4). 387–390.

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.

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