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Mathematics

D-Index
30
Citations
3987
World Ranking
3513
National Ranking
34

Overview

Mikhail Zaicev is affiliated with Lomonosov Moscow State University in the Russian Federation. Their academic contributions focus primarily on the fields of Mathematics and Computer Science, with notable specialization in Algebra and Number Theory, Geometry and Topology, and Computational Theory and Mathematics. The researcher's work spans advanced topics in algebra and related combinatorial models, as well as matrix theory and algorithms.

The main topics covered in their publications include:

  • Advanced Topics in Algebra
  • Algebraic structures and combinatorial models
  • Matrix Theory and Algorithms
  • Rings, Modules, and Algebras
  • Coding theory and cryptography
  • Mathematical Dynamics and Fractals
  • Nonlinear Waves and Solitons

Zaicev has recently contributed several papers published across various mathematical journals. Recent publications include:

  • The Theory of Formal Languages and Identities of Nonassociative Algebras, 2020, Siberian Mathematical Journal
  • Codimension Sequences and their Asymptotic Behavior, 2021, Journal of Mathematical Sciences
  • Eventually non-decreasing codimensions of *-identities, 2021, Archiv der Mathematik
  • On existence of PI-exponent of algebras with involution, 2022, Journal of Algebra
  • Функции роста кодлины неассоциативных алгебр, 2021, Математические заметки

The researcher's frequent co-authors include:

  • Dušan Repovš
  • I. P. Shestakov
  • L. A. Bokut
  • E. I. Bunina
  • Alexei Kanel-Belov

Zaicev's publications have appeared mainly in these notable venues:

  • Journal of Mathematical Sciences
  • Siberian Mathematical Journal
  • Archiv der Mathematik
  • Journal of Algebra
  • Математические заметки

The body of work reflects a balanced research profile incorporating both theoretical advancements in algebra and applied mathematical concepts that intersect with computer science. The contributions to ring theory, modules, and algebraic identities, alongside computational and combinatorial models, highlight the interdisciplinary reach of the researcher's efforts.

Best Publications

  • Polynomial identities and asymptotic methods

    Antonio Giambruno;Mikhail Zaicev

  • Exponential Codimension Growth of PI Algebras: An Exact Estimate

    A Giambruno;M Zaicev

  • On Codimension Growth of Finitely Generated Associative Algebras

    A. Giambruno;M. Zaicev

  • Group Gradings on Associative Algebras

    Yu.A Bahturin;Yu.A Bahturin;S.K Sehgal;M.V Zaicev

  • Group Gradings on Matrix Algebras

    Yu. A. Bahturin;M. V. Zaicev

  • Infinite-dimensional lie superalgebras

    Unknown

  • Gradings on simple Jordan and Lie algebras

    Yuri A. Bahturin;Yuri A. Bahturin;Ivan P Shestakov;Ivan P Shestakov;Mikhail V. Zaicev

  • Codimensions of algebras and growth functions

    Antonio Giambruno;S. P. Mishchenko;M.V. Zaicev

  • Identities of Graded Algebras

    Y.A. Bahturin;M.V. Zaicev

  • Minimal varieties of algebras of exponential growth

    Antonio Giambruno;M. Zaicev

  • An example of a variety of Lie algebras with a fractional exponent

    M. V. Zaicev;S. P. Mishchenko

  • Group gradings on upper triangular matrices

    A. Valenti;M. V. Zaicev

  • Codimension growth and minimal superalgebras

    A Giambruno;M V Zaicev

  • Finite-dimensional simple graded algebras

    Yu A Bahturin;M V Zaicev;S K Sehgal

  • POLYNOMIAL IDENTITIES ON SUPERALGEBRAS AND ALMOST POLYNOMIAL GROWTH

    A. Giambruno;S. Mishchenko;M. Zaicev

  • Group Gradings on Simple Lie Algebras of Type "A"

    Y. A. Bahturin;M. V. Zaicev

  • $G$-identities on associative algebras

    Y. Bahturin;A. Giambruno;M. Zaicev

  • Algebras with intermediate growth of the codimensions

    A. Giambruno;S. Mishchenko;M. Zaicev

  • Simple and semisimple Lie algebras and codimension growth

    Antonio Giambruno;Amitai Regev;Michail V. Zaicev

  • Identities of graded algebras and codimension growth

    Yu. A. Bahturin;M. V. Zaicev

  • Graded algebras and graded identities

    Yu Bahturin;Mikhail Zaicev

Frequent Co-Authors

Antonio Giambruno
Antonio Giambruno University of Palermo
Dušan Repovš
Dušan Repovš University of Ljubljana
Susan Montgomery
Susan Montgomery University of Southern California

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