Author

Alexander A. Mikhalev

Observed names: ALEXANDER A. MIKHALEV, Alexander A Mikhalev

Institution: Lomonosov Moscow State University

Observed institutions: Lomonosov Moscow State University, University of Hong Kong

OpenAlex ID: A5101161707

Rings with Generalized Identities

1995 · Alexander A. Mikhalev, Konstant J. Beidar, et al. · 718

Infinite-dimensional lie superalgebras

2000 · Yuri Bahturin, Alexander A. Mikhalev, et al. · Handbook of algebra · 152

Combinatorial Aspects of Lie Superalgebras

1995 · Alexander A. Mikhalev, Andrej A. Zolotykh · 86

Combinatorial Methods

2004 · Alexander A. Mikhalev, Vladimir Shpilrain, et al. · CMS books in mathematics · 52

Combinatorial Methods: Free Groups, Polynomials, and Free Algebras

2003 · Alexander A. Mikhalev, Vladimir Shpilrain, et al. · CERN Document Server (European Organization for Nuclear Research) · 49

PBW-Pairs of Varieties of Linear Algebras

2013 · Alexander A. Mikhalev, Ivan P. Shestakov · Communications in Algebra · 38

Standard Gröbner-Shirshov Bases of Free Algebras Over Rings, I

1998 · Alexander A. Mikhalev, Andrej A. Zolotykh · International Journal of Algebra and Computation · 34

RANK AND PRIMITIVITY OF ELEMENTS OF FREE COLOUR LIE (p-)SUPERALGEBRAS

1994 · ALEXANDER A. MIKHALEV, ANDREJ A. ZOLOTYKH · International Journal of Algebra and Computation · 25

Primitive, Almost Primitive, Test, and Δ-Primitive Elements of Free Algebras with the Nielsen–Schreier Property

2000 · Alexander A. Mikhalev, Jie-Tai Yu · Journal of Algebra · 23

Automorphic Orbits in Free Non-associative Algebras

2001 · Alexander A Mikhalev, Ualbai Umirbaev, et al. · Journal of Algebra · 22

Subalgebras of free leibniz algebras

1998 · Alexander A. Mikhalev, Ualbai U. Umirbaev · Communications in Algebra · 20

The Jacobian Conjecture

2004 · Alexander A. Mikhalev, Vladimir Shpilrain, et al. · CMS books in mathematics · 19

Test elements and retracts of free Lie algebras‡

1997 · Alexander A. Mikhalev, Jie-Tai Yu · Communications in Algebra · 17

Automorphisms and primitive elements of free lie superalgebras

1994 · Alexander A. Mikhalev, Andrej A. Zolotykh · Communications in Algebra · 17

Test Elements, Retracts and Automorphic Orbits of Free Algebras

1998 · Alexander A. Mikhalev, Jie-Tai Yu · International Journal of Algebra and Computation · 15

Test elements for monomorphisms of free lie algebras and lie superalgebras†

1995 · Alexander A. Mikhalev, Andrej A. Zolotykh · Communications in Algebra · 15

The Embedding Problem

2004 · Alexander A. Mikhalev, Vladimir Shpilrain, et al. · CMS books in mathematics · 14

Schreier Varieties of Algebras

2004 · Alexander A. Mikhalev, Vladimir Shpilrain, et al. · CMS books in mathematics · 14

Combinatorial aspects of the theory of Lie superalgebras

1996 · Alexander A. Mikhalev · De Gruyter eBooks · 11

On Isomorphism of Lie Algebras With One Defining Relation

2004 · ALEXANDER A. MIKHALEV, VLADIMIR SHPILRAIN, et al. · International Journal of Algebra and Computation · 6

Applications of Fox Differential Calculus to Free Lie Superalgebras

1994 · Alexander A. Mikhalev, Andrej A. Zolotykh · Springer eBooks · 5

Algorithms for primitive elements of free Lie algebras and Lie superalgebras

1996 · Alexander A. Mikhalev, Andrej A. Zolotykh · International Symposium on Symbolic and Algebraic Computation · 4

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Automorphic orbits of elements of free algebras with the Nielsen-Schreier property

2000 · Alexander A. Mikhalev, Jie-Tai Yu · Contemporary mathematics - American Mathematical Society · 3

Stable Equivalence Problems for Free Algebras With the Nielsen-schreier Property

2001 · ALEXANDER A. MIKHALEV, JIE-TAI YU · International Journal of Algebra and Computation · 2

On freep-superalgebras

2000 · Nickolai Dobrynin, Gerard Duchamp, et al. · Communications in Algebra · 2

Works count: 39

Citation count: 1,363

H-index: 15

I10-index: 19