Alexander A. Mikhalev

1.4k total citations · 1 hit paper
19 papers, 802 citations indexed

About

Alexander A. Mikhalev is a scholar working on Algebra and Number Theory, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Alexander A. Mikhalev has authored 19 papers receiving a total of 802 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Algebra and Number Theory, 14 papers in Geometry and Topology and 5 papers in Computational Theory and Mathematics. Recurrent topics in Alexander A. Mikhalev's work include Advanced Topics in Algebra (15 papers), Algebraic structures and combinatorial models (8 papers) and Geometric and Algebraic Topology (4 papers). Alexander A. Mikhalev is often cited by papers focused on Advanced Topics in Algebra (15 papers), Algebraic structures and combinatorial models (8 papers) and Geometric and Algebraic Topology (4 papers). Alexander A. Mikhalev collaborates with scholars based in Russia, Hong Kong and United States. Alexander A. Mikhalev's co-authors include Wallace S. Martindale, Jie-Tai Yu, Vladimir Shpilrain, Ualbai Umirbaev, I. P. Shestakov, Gérard Duchamp and Victor Petrogradsky and has published in prestigious journals such as Journal of Algebra, Communications in Algebra and International Journal of Algebra and Computation.

In The Last Decade

Alexander A. Mikhalev

19 papers receiving 715 citations

Hit Papers

Rings with Generalized Id... 1995 2026 2005 2015 1995 100 200 300 400 500
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. Rings with Generalized Identities
    1995 560 citations Alexander A. Mikhalev, Wallace S. Martindale et al. Medical Entomology and Zoology profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Alexander A. Mikhalev Russia 12 753 686 134 131 114 19 802
К. И. Бейдар Taiwan 19 1.0k 1.4× 905 1.3× 154 1.1× 196 1.5× 162 1.4× 95 1.1k
E. I. Zel'manov United States 15 443 0.6× 316 0.5× 124 0.9× 143 1.1× 76 0.7× 23 503
Agata Smoktunowicz United Kingdom 11 583 0.8× 501 0.7× 89 0.7× 108 0.8× 84 0.7× 53 660
William F. Keigher United States 8 403 0.5× 358 0.5× 133 1.0× 92 0.7× 58 0.5× 21 453
Jeffrey Bergen United States 11 524 0.7× 470 0.7× 53 0.4× 102 0.8× 74 0.6× 61 544
V. K. Kharchenko Mexico 16 1.0k 1.3× 963 1.4× 87 0.6× 186 1.4× 155 1.4× 47 1.0k
Michel L. Racine Canada 13 412 0.5× 383 0.6× 69 0.5× 138 1.1× 55 0.5× 42 460
Ualbai Umirbaev Kazakhstan 13 379 0.5× 492 0.7× 108 0.8× 132 1.0× 46 0.4× 55 579
L. A. Bokut Russia 15 572 0.8× 666 1.0× 175 1.3× 239 1.8× 102 0.9× 66 752
Chen-Lian Chuang Taiwan 15 977 1.3× 946 1.4× 126 0.9× 130 1.0× 130 1.1× 62 1.0k

Countries citing papers authored by Alexander A. Mikhalev

Since Specialization
Citations

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

Fields of papers citing papers by Alexander A. Mikhalev

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alexander A. Mikhalev. 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 Alexander A. Mikhalev. The network helps show where Alexander A. Mikhalev may publish in the future.

Co-authorship network of co-authors of Alexander A. Mikhalev

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander A. Mikhalev. A scholar is included among the top collaborators of Alexander A. Mikhalev 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 Alexander A. Mikhalev. Alexander A. Mikhalev is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

19 of 19 papers shown
1.
Mikhalev, Alexander A. & I. P. Shestakov. (2013). PBW-Pairs of Varieties of Linear Algebras. Communications in Algebra. 42(2). 667–687. 22 indexed citations
2.
Mikhalev, Alexander A., Vladimir Shpilrain, & Jie-Tai Yu. (2004). Combinatorial Methods. The HKU Scholars Hub (University of Hong Kong). 12 indexed citations
3.
Mikhalev, Alexander A., Vladimir Shpilrain, & Ualbai Umirbaev. (2004). ON ISOMORPHISM OF LIE ALGEBRAS WITH ONE DEFINING RELATION. International Journal of Algebra and Computation. 14(3). 389–393. 2 indexed citations
4.
Mikhalev, Alexander A., Vladimir Shpilrain, & Jie-Tai Yu. (2003). Combinatorial Methods: Free Groups, Polynomials, and Free Algebras. CERN Document Server (European Organization for Nuclear Research). 28 indexed citations
5.
Mikhalev, Alexander A., et al.. (2001). Automorphic Orbits in Free Non-associative Algebras. Journal of Algebra. 243(1). 198–223. 13 indexed citations
6.
Mikhalev, Alexander A. & Jie-Tai Yu. (2001). STABLE EQUIVALENCE PROBLEMS FOR FREE ALGEBRAS WITH THE NIELSEN-SCHREIER PROPERTY. International Journal of Algebra and Computation. 11(6). 779–786. 2 indexed citations
7.
Mikhalev, Alexander A. & Jie-Tai Yu. (2000). Primitive, Almost Primitive, Test, and Δ-Primitive Elements of Free Algebras with the Nielsen–Schreier Property. Journal of Algebra. 228(2). 603–623. 20 indexed citations
8.
Mikhalev, Alexander A., et al.. (2000). Combinatorial and Computational Algebra. Contemporary mathematics - American Mathematical Society. 13 indexed citations
9.
Duchamp, Gérard, et al.. (2000). On freep-superalgebras. Communications in Algebra. 28(11). 5275–5302. 2 indexed citations
10.
Mikhalev, Alexander A. & Ualbai Umirbaev. (1998). Subalgebras of free leibniz algebras. Communications in Algebra. 26(2). 435–446. 12 indexed citations
11.
Mikhalev, Alexander A. & Jie-Tai Yu. (1998). Test Elements, Retracts and Automorphic Orbits of Free Algebras. International Journal of Algebra and Computation. 8(3). 295–310. 11 indexed citations
12.
Mikhalev, Alexander A., et al.. (1998). Standard Gröbner-Shirshov Bases of Free Algebras Over Rings, I. International Journal of Algebra and Computation. 8(6). 689–726. 14 indexed citations
13.
Mikhalev, Alexander A. & Jie-Tai Yu. (1997). Test elements and retracts of free Lie algebras‡. Communications in Algebra. 25(10). 3283–3289. 11 indexed citations
14.
Mikhalev, Alexander A., et al.. (1996). Algorithms for primitive elements of free Lie algebras and Lie superalgebras. 161–169. 3 indexed citations
15.
Mikhalev, Alexander A., et al.. (1995). Rings with Generalized Identities. Medical Entomology and Zoology. 560 indexed citations breakdown →
16.
Mikhalev, Alexander A., et al.. (1995). Test elements for monomorphisms of free lie algebras and lie superalgebras†. Communications in Algebra. 23(13). 4995–5001. 11 indexed citations
17.
Mikhalev, Alexander A., et al.. (1995). Combinatorial Aspects of Lie Superalgebras. Medical Entomology and Zoology. 34 indexed citations
18.
Mikhalev, Alexander A., et al.. (1994). Automorphisms and primitive elements of free lie superalgebras. Communications in Algebra. 22(14). 5889–5901. 13 indexed citations
19.
Mikhalev, Alexander A., et al.. (1994). RANK AND PRIMITIVITY OF ELEMENTS OF FREE COLOUR LIE (p-)SUPERALGEBRAS. International Journal of Algebra and Computation. 4(4). 617–655. 19 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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