Concepedia

Noncommutative Algebra Computation

Noncommutative Algebra Computation is a computational framework in computational algebra that specifically addresses the algorithmic manipulation and symbolic computation of algebraic structures in which multiplication is not necessarily commutative, distinguishing it from methods restricted to commutative rings and algebras.

37

Publications

1.2K

Citations

69

Authors

34

Institutions

Publications per year

2017–2026

6

Parents

Publications

37

Noncommutative symmetric functions

Israel M. Gelfand, Daniel Krob, Alain Lascoux et al. · ArXiv.org · 1994 · 168 citations · Full text

, , +16

Duality Applied to the Complexity of Matrix Multiplication and Other Bilinear Forms

John E. Hopcroft, Jean E. Musinski · SIAM Journal on Computing · 1973 · 103 citations

, , +17

Lower Bounds for Non-Commutative Computation (Extended Abstract)

Noam Nisan · 1991 · 67 citations

, , +15

Polynomial-Time Solutions of Computational Problems in Noncommutative-Algebraic Cryptography

Boaz Tsaban · Journal of Cryptology · 2013 · 66 citations · Full text

, , +13

Characterization of Division Algebras of Minimal Rank and the Structure of their Algorithm Varieties

Hans F. de Groote · SIAM Journal on Computing · 1983 · 57 citations

, , +17

1–5 of 37

Authors

69

  1. GI
    Gábor Ivanyos

    Hungarian Academy of Sciences, Hungary

    4 publications · 95 citations

    4

    h-index

  2. YQ
    Youming Qiao

    University of Technology Sydney, Australia

    3 publications · 83 citations

    3

    h-index

  3. KV
    K. V. Subrahmanyam

    Chennai Mathematical Institute, India

    3 publications · 83 citations

    3

    h-index

  4. JW
    J. William Helton

    University of California San Diego, United States

    2 publications · 44 citations

    2

    h-index

  5. VA
    V. Arvind

    Institute of Mathematical Sciences, India

    2 publications · 37 citations

    2

    h-index

1–5 of 69

Institutions

34

  1. Johannes Kepler University of Linz

    Linz, Austria

    3 h-index

    5 publications

    91 citations

  2. Chennai Mathematical Institute

    Chennai, India

    2 h-index

    2 publications

    81 citations

  3. Université Paris Cité

    Paris, France

    2 h-index

    8 publications

    1K citations

  4. Institute of Mathematical Sciences

    Chennai, India

    2 h-index

    4 publications

    63 citations

  5. University of California San Diego

    San Diego, United States

    2 h-index

    5 publications

    173 citations

  6. Hungarian Academy of Sciences

    Budapest, Hungary

    2 h-index

    3 publications

    81 citations

  7. Indian Institute of Technology Madras

    Chennai, India

    1 h-index

    1 publications

    19 citations

  8. Wrocław University of Science and Technology

    Wroclaw, Poland

    1 h-index

    1 publications

    10 citations

1–8 of 34

Venues

  1. SIAM Journal on Computing

    4 publications · 235 citations

    4

    h-index

  2. Computational Complexity

    CC · 2 publications · 81 citations

    2

    h-index

  3. arXiv (Cornell University)

    Repository · 2 publications · 26 citations

    2

    h-index

  4. Mathematics of Computation

    MCOM · 2 publications · 50 citations

    2

    h-index

  5. Foundations of Computational Mathematics

    1 publications · 16 citations

    1

    h-index

1–5