Mikhail Zaicev

3.1k total citations · 1 hit paper
93 papers, 1.7k citations indexed

About

Mikhail Zaicev is a scholar working on Algebra and Number Theory, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Mikhail Zaicev has authored 93 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 89 papers in Algebra and Number Theory, 82 papers in Geometry and Topology and 38 papers in Computational Theory and Mathematics. Recurrent topics in Mikhail Zaicev's work include Advanced Topics in Algebra (89 papers), Algebraic structures and combinatorial models (80 papers) and Matrix Theory and Algorithms (34 papers). Mikhail Zaicev is often cited by papers focused on Advanced Topics in Algebra (89 papers), Algebraic structures and combinatorial models (80 papers) and Matrix Theory and Algorithms (34 papers). Mikhail Zaicev collaborates with scholars based in Russia, Italy and Tajikistan. Mikhail Zaicev's co-authors include Antonio Giambruno, С. П. Мищенко, Yu. A. Bahturin, Yuri Bahturin, Surinder K. Sehgal, I. P. Shestakov, A. Valenti, Amitai Regev, Dušan Repovš and Plamen Koshlukov and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Bulletin of the London Mathematical Society.

In The Last Decade

Mikhail Zaicev

84 papers receiving 1.6k citations

Hit Papers

Polynomial Identities and Asymptotic Methods 2005 2026 2012 2019 2005 50 100 150 200 250
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. Polynomial Identities and Asymptotic Methods
    2005 256 citations Antonio Giambruno, Mikhail Zaicev Mathematical surveys and monographs profile →

Peers

Mikhail Zaicev
Antonio Giambruno Italy
Vesselin Drensky Bulgaria
Yuri Bahturin Canada
К. И. Бейдар Taiwan
C. Robert Miers Canada
Alexander A. Mikhalev Russia
L. A. Bokut Russia
Fangyan Lu China
Teimuraz Pirashvili Germany
Jan Okniński Poland
Antonio Giambruno Italy
Mikhail Zaicev
Citations per year, relative to Mikhail Zaicev Mikhail Zaicev (= 1×) peers Antonio Giambruno

Countries citing papers authored by Mikhail Zaicev

Since Specialization
Citations

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

Fields of papers citing papers by Mikhail Zaicev

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Mikhail Zaicev

This figure shows the co-authorship network connecting the top 25 collaborators of Mikhail Zaicev. A scholar is included among the top collaborators of Mikhail Zaicev 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 Mikhail Zaicev. Mikhail Zaicev 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.
Bahturin, Yuri & Mikhail Zaicev. (2018). Graded division algebras over the field of real numbers. Journal of Algebra. 514. 273–309. 2 indexed citations
2.
Giambruno, Antonio & Mikhail Zaicev. (2017). Sturmian words and overexponential codimension growth. Advances in Applied Mathematics. 95. 53–64.
3.
Giambruno, Antonio, С. П. Мищенко, A. Valenti, & Mikhail Zaicev. (2016). Polynomial codimension growth and the Specht problem. Journal of Algebra. 469. 421–436. 3 indexed citations
4.
Bahturin, Yuri & Mikhail Zaicev. (2015). Simple graded division algebras over the field of real numbers. Linear Algebra and its Applications. 490. 102–123. 9 indexed citations
5.
Zaicev, Mikhail. (2014). On existence of PI-exponents of codimension growth. 21(0). 113–119. 8 indexed citations
6.
Repovš, Dušan & Mikhail Zaicev. (2014). Graded codimensions of Lie superalgebra b(2). Journal of Algebra. 422. 1–10. 2 indexed citations
7.
Bahturin, Yuri & Mikhail Zaicev. (2010). Gradings on simple algebras of finitary matrices. Journal of Algebra. 324(6). 1279–1289. 7 indexed citations
8.
Koshlukov, Plamen & Mikhail Zaicev. (2010). Identities and isomorphisms of graded simple algebras. Linear Algebra and its Applications. 432(12). 3141–3148. 18 indexed citations
9.
Giambruno, Antonio & Mikhail Zaicev. (2009). Codimension growth of special simple Jordan algebras. Transactions of the American Mathematical Society. 362(6). 3107–3123. 18 indexed citations
10.
Bahturin, Yu. A., Mikhail Zaicev, & Surinder K. Sehgal. (2008). Finite-dimensional simple graded algebras. Sbornik Mathematics. 199(7). 965–983. 35 indexed citations
11.
Zaicev, Mikhail & С. П. Мищенко. (2008). An example of a variety of linear algebras with fractional-polynomial growth. Moscow University Mathematics Bulletin. 63(1). 27–32. 6 indexed citations
12.
Giambruno, Antonio & Mikhail Zaicev. (2007). Multialternating Jordan polynomials and codimension growth of matrix algebras. Linear Algebra and its Applications. 422(2-3). 372–379. 6 indexed citations
13.
Bahturin, Yuri & Mikhail Zaicev. (2007). Involutions on graded matrix algebras. Journal of Algebra. 315(2). 527–540. 19 indexed citations
14.
Giambruno, Antonio, С. П. Мищенко, & Mikhail Zaicev. (2006). Algebras with intermediate growth of the codimensions. Advances in Applied Mathematics. 37(3). 360–377. 28 indexed citations
15.
Giambruno, Antonio & Mikhail Zaicev. (2005). Polynomial Identities and Asymptotic Methods. Mathematical surveys and monographs. 256 indexed citations breakdown →
16.
Bahturin, Yu. A., Surinder K. Sehgal, & Mikhail Zaicev. (2001). Group Gradings on Associative Algebras. Journal of Algebra. 241(2). 677–698. 98 indexed citations
17.
Мищенко, С. П. & Mikhail Zaicev. (2000). ASYMPTOTIC BEHAVIOUR OF COLENGTH OF VARIETIES OF LIE ALGEBRAS. Bulgarian Digital Mathematics Library (BulDML) at IMI-BAS (Institute of Mathematics and Informatics). 26(2). 145–154. 5 indexed citations
18.
Giambruno, Antonio & Mikhail Zaicev. (2000). A CHARACTERIZATION OF VARIETIES OF ASSOCIATIVE ALGEBRAS OF EXPONENT TWO. Bulgarian Digital Mathematics Library (BulDML) at IMI-BAS (Institute of Mathematics and Informatics). 26(3). 245–252. 11 indexed citations
19.
Giambruno, Antonio & Mikhail Zaicev. (1999). Exponential Codimension Growth of PI Algebras: An Exact Estimate. Advances in Mathematics. 142(2). 221–243. 172 indexed citations
20.
Giambruno, Antonio & Mikhail Zaicev. (1999). Involution Codimensions of Finite Dimensional Algebras and Exponential Growth. Journal of Algebra. 222(2). 471–484. 23 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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