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Topic · Computational Theory and Mathematics

Advanced Algebra and Logic

Advanced Algebra and Logic is a research topic within Computational Theory and Mathematics. Science Explorer counts 33k research works in it since 1950. 10.3% of them reached the world's top 10% most cited for their field and year.

This cluster of papers explores the intersection of fuzzy logic, residuated lattices, t-norms, MV-algebras, quantum logic, and automata theory. It delves into mathematical fuzzy logic, modal logics, and algebraic semantics within the context of probability theory.

  • Fuzzy Logic
  • Residuated Lattices
  • t-norms
  • MV-algebras
  • Quantum Logic
  • Automata Theory
  • Mathematical Fuzzy Logic
  • Modal Logics
  • Algebraic Semantics
  • Probability Theory
Research works
33k
fractional, since 1950
In the world top 10%
3.4k
per year above
Top-10% rate
10.3%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
+0%
the tick is no change

Which countries lead Advanced Algebra and Logic research?

By volume, China and the United States publish the most (356 and 336 works in 2022–2025).

By volume, 2022–2025

  1. 1 China 356 works
  2. 2 United States 336 works
  3. 3 India 267 works
  4. 4 Germany 145 works
  5. 5 Italy 137 works
  6. 6 Russia 132 works
  7. 7 Türkiye 128 works
  8. 8 France 123 works
  9. 9 Iran 119 works
  10. 10 Iraq 106 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

China: 19.2%United States: 18.2%India: 14.4%Germany: 7.8%6 others listed: 40.3%19%largest
China356 · 19.2%United States336 · 18.2%India267 · 14.4%Germany145 · 7.8%6 others listed746 · 40.3%

Shares of the rows listed above, not of the whole node.

Which institutions lead Advanced Algebra and Logic research?

By volume in 2022–2025, University of Ostrava publishes the most Advanced Algebra and Logic research, followed by Lomonosov Moscow State University and University of Baghdad.

By volume, 2022–2025

  1. 1 University of OstravaCzechia 23 works
  2. 2 Lomonosov Moscow State UniversityRussia 21 works
  3. 3 University of BaghdadIraq 21 works
  4. 4 Centre National de la Recherche ScientifiqueFrance 20 works
  5. 5 TU WienAustria 18 works
  6. 6 Mahasarakham UniversityThailand 14 works
  7. 7 University of AmsterdamNetherlands 14 works
  8. 8 Payame Noor UniversityIran 12 works
  9. 9 Palacký University OlomoucCzechia 12 works
  10. 10 Ruhr University BochumGermany 12 works

Who are the leading researchers in Advanced Algebra and Logic?

The most-cited researchers publishing on Advanced Algebra and Logic include Francisco Herrera, Witold Pedrycz and Ronald R. Yager.

  1. 1 Francisco Herrera Spain 6.5k citations
  2. 2 Witold Pedrycz Canada 5.4k citations
  3. 3 Ronald R. Yager United States 4.2k citations
  4. 4 Morteza Shamsizadeh Iran 3.6k citations
  5. 5 Enrique Herrera‐Viedma Spain 3.3k citations
  6. 6 Zeshui Xu China 3.3k citations
  7. 7 Lotfi A. Zadeh United States 3.3k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

Where is Advanced Algebra and Logic research done?

The largest centres of Advanced Algebra and Logic research in 2022–2025 are Moscow (Russia), Beijing (China), Xi'an (China) and Paris (France). Among places with at least 20 works in it, it is an unusually large share of all research in Ostrava.

Largest cities, 2022–2025

  1. 1 Moscow Russia 68 works
  2. 2 Beijing China 63 works
  3. 3 Xi'an China 54 works
  4. 4 Paris France 46 works
  5. 5 Tehran Iran 42 works
  6. 6 Prague Czechia 39 works
  7. 7 Baghdad Iraq 31 works
  8. 8 Tokyo Japan 26 works
  9. 9 Vienna Austria 26 works
  10. 10 Chengdu China 26 works

Where it is the local speciality

  1. OstravaCZ · 23.6 works33×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Advanced Algebra and Logic than the world average.

See Advanced Algebra and Logic on the map

Where is the best place to study Advanced Algebra and Logic?

Among universities, judged by research, Amasya Üniversitesi, University of Baghdad and Ruhr University Bochum score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%20%40%mean 10.96%fractional works in this node (log) →share in the world top 10% →Amasya Üniversitesi: 12, 32.9%University of Baghdad: 21, 6.2%Ruhr University Bochum: 12, 12.9%Jordan University of Science and Technology: 10, 19.8%TU Wien: 18, 1.5%University of Ostrava: 23, 2.2%University of Tübingen: 11, 22.3%Karadeniz Technical University: 10, 10.5%Lomonosov Moscow State University: 22, 1.3%Payame Noor University: 12, 0.0%Amasya ÜniversitesiJordan University of…Ruhr University BochumUniversity of Baghdad
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1 Amasya ÜniversitesiTürkiye 70.232.9%37.5×12 +86.3%
2 University of BaghdadIraq 60.96.2%8.8×21 +606.5%
3 Ruhr University BochumGermany 60.212.9%9.4×12 +178.6%
4 Jordan University of Science and TechnologyJordan 59.719.8%18.3×10 —
5 TU WienAustria 57.41.5%18.0×18 +85.1%
6 University of OstravaCzechia 56.32.2%112.5×23 +25.9%
7 University of TübingenGermany 55.622.3%8.9×11 -11.3%
8 Karadeniz Technical UniversityTürkiye 52.110.5%14.5×10 +175.0%
9 Lomonosov Moscow State UniversityRussia 50.61.3%7.7×22 +54.8%
10 Payame Noor UniversityIran 45.40.0%32.1×12 +124.8%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Advanced Algebra and Logic research growing?

Output in 2018–2022 was 0% higher than in 2013–2017, peaking in 2011. The fastest-growing topics are Advanced Algebra and Logic.

19801990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.