Franz Halter‐Koch

1.9k total citations · 1 hit paper
109 papers, 1.1k citations indexed

About

Franz Halter‐Koch is a scholar working on Algebra and Number Theory, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Franz Halter‐Koch has authored 109 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Algebra and Number Theory, 39 papers in Geometry and Topology and 27 papers in Computational Theory and Mathematics. Recurrent topics in Franz Halter‐Koch's work include Rings, Modules, and Algebras (34 papers), Algebraic Geometry and Number Theory (14 papers) and History and Theory of Mathematics (12 papers). Franz Halter‐Koch is often cited by papers focused on Rings, Modules, and Algebras (34 papers), Algebraic Geometry and Number Theory (14 papers) and History and Theory of Mathematics (12 papers). Franz Halter‐Koch collaborates with scholars based in Austria, Germany and United States. Franz Halter‐Koch's co-authors include Alfred Geroldinger, Robert F. Tichy, Scott T. Chapman, Alberto Facchini, Ulrich Krause, Wolfgang Müller, Władysław Narkiewicz, Jerzy Kaczorowski, Kenneth S. Williams and Günter Lettl and has published in prestigious journals such as Lecture notes in mathematics, Mathematische Annalen and Journal of Algebra.

In The Last Decade

Franz Halter‐Koch

94 papers receiving 990 citations

Hit Papers

Non-Unique Factorizations 2006 2026 2012 2019 2006 100 200 300
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.

  1. Non-Unique Factorizations
    2006 323 citations Alfred Geroldinger, Franz Halter‐Koch profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Franz Halter‐Koch Austria 16 827 429 394 211 158 109 1.1k
Paul Conrad United States 23 762 0.9× 590 1.4× 798 2.0× 166 0.8× 239 1.5× 86 1.4k
Alfred Geroldinger Austria 20 1.2k 1.5× 571 1.3× 790 2.0× 799 3.8× 110 0.7× 92 1.9k
Jorge Martínez United States 17 587 0.7× 456 1.1× 293 0.7× 54 0.3× 182 1.2× 96 817
Moshe Roitman Israel 15 440 0.5× 271 0.6× 121 0.3× 93 0.4× 74 0.5× 48 552
Kenneth Goodearl United States 19 662 0.8× 533 1.2× 244 0.6× 52 0.2× 257 1.6× 26 1.0k
Paul Hill United States 17 547 0.7× 486 1.1× 267 0.7× 204 1.0× 162 1.0× 104 868
Carl Faith United States 22 1.8k 2.2× 1.2k 2.8× 285 0.7× 114 0.5× 150 0.9× 87 2.0k
Efim Zelmanov United States 17 719 0.9× 721 1.7× 145 0.4× 409 1.9× 270 1.7× 67 1.1k
Lawrence S. Levy United States 15 1.1k 1.4× 714 1.7× 234 0.6× 76 0.4× 118 0.7× 52 1.3k
Carl Riehm Canada 11 245 0.3× 389 0.9× 135 0.3× 162 0.8× 283 1.8× 29 665

Countries citing papers authored by Franz Halter‐Koch

Since Specialization
Citations

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

Fields of papers citing papers by Franz Halter‐Koch

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Franz Halter‐Koch. 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 Franz Halter‐Koch. The network helps show where Franz Halter‐Koch may publish in the future.

Co-authorship network of co-authors of Franz Halter‐Koch

This figure shows the co-authorship network connecting the top 25 collaborators of Franz Halter‐Koch. A scholar is included among the top collaborators of Franz Halter‐Koch 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 Franz Halter‐Koch. Franz Halter‐Koch 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.
Halter‐Koch, Franz, et al.. (2002). Polynomial cycles in finite extension fields. Mathematica Slovaca. 52(5). 531–535.
2.
Chapman, Scott T., Franz Halter‐Koch, & Ulrich Krause. (2002). Inside factorial monoids and integral domains. Journal of Algebra. 252(2). 350–375. 20 indexed citations
3.
Halter‐Koch, Franz. (2001). Localizing Systems, Module Systems, and Semistar Operations. Journal of Algebra. 238(2). 723–761. 20 indexed citations
4.
Halter‐Koch, Franz & Ludwig Reich. (1999). Additive functions commuting with Möbius transformations and field monomorphisms. Aequationes Mathematicae. 58(1-2). 176–182.
5.
Chapman, Scott T., et al.. (1998). Criteria for unique factorization in integral domains. Journal of Pure and Applied Algebra. 127(3). 205–218. 9 indexed citations
6.
Halter‐Koch, Franz. (1993). On the algebraic and arithmetical structure of generalized polynomial algebras. Rendiconti del Seminario Matematico della Università di Padova. 90. 121–140. 2 indexed citations
7.
Halter‐Koch, Franz. (1993). A characterization of Krull rings with zero divisors. Archivum Mathematicum. 29. 119–122. 4 indexed citations
8.
Halter‐Koch, Franz. (1993). A Theorem of Ramanujan Concerning Binary Quadratic Forms. Journal of Number Theory. 44(2). 209–213. 2 indexed citations
9.
Halter‐Koch, Franz. (1992). Relative types and their arithmetical applications. Pure mathematics and applications. 3. 81–92. 3 indexed citations
10.
Halter‐Koch, Franz. (1992). Relative block semigroups and their arithmetical applications. Commentationes Mathematicae Universitatis Carolinae. 33(3). 373–381. 4 indexed citations
11.
Geroldinger, Alfred & Franz Halter‐Koch. (1992). Non-unique factorizations in block semigroups and arithmetical applications. Mathematica Slovaca. 42(5). 641–661. 18 indexed citations
12.
Halter‐Koch, Franz. (1990). Quadratische ordnungen mit großer Klassenzahl. Journal of Number Theory. 34(1). 82–94. 7 indexed citations
13.
Halter‐Koch, Franz, et al.. (1989). Ring class fields modulo 8 of ${\bf Q}(\sqrt{-m})$ and the quartic character of units of ${\bf Q}(\sqrt m)$ for $m\equiv 1\bmod 8$. Osaka Journal of Mathematics. 26(3). 625–646. 2 indexed citations
14.
Halter‐Koch, Franz. (1986). Binäre quadratische formen und rationale Zerlegungsgesetze I. Journal of Number Theory. 22(3). 249–270. 2 indexed citations
15.
Halter‐Koch, Franz, et al.. (1981). Metrische Kennzeichnung von Erzeugenden für Einheitengruppen vom Rang 1 oder 2 in algebraischen Zahlkörpern. Journal of Number Theory. 13(3). 320–333. 1 indexed citations
16.
Halter‐Koch, Franz, et al.. (1978). Sur le nombre de classes de certaines extensions m\'etacycliques sur Q ou sur un corps quadratique imaginaire. Journal of the Mathematical Society of Japan. 30(2). 4 indexed citations
17.
Halter‐Koch, Franz. (1976). Construction of continuous idele class characters in quadratic number fields, and imbedding problems for dihedral and quaternion fields. French digital mathematics library (Numdam). 17(1). 1–13. 2 indexed citations
18.
Halter‐Koch, Franz. (1972). Einseinheitengruppen und prime Restklassengruppen in quadratischen Zahlkörpern. Journal of Number Theory. 4(1). 70–77. 7 indexed citations
19.
Halter‐Koch, Franz. (1972). Ein Satz über die Geschlechter relativ-zyklischer Zahlkörper von Primzahlgrad und seine Anwendung auf biquadratisch-bizyklische Körper. Journal of Number Theory. 4(2). 144–156. 5 indexed citations
20.
Halter‐Koch, Franz. (1971). Arithmetische Theorie der Normalkörper von 2-Potenzgrad mit Diedergruppe. Journal of Number Theory. 3(4). 412–443. 14 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.

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