| The central polynomials for the Grassmann algebra AP Brandão, P Koshlukov, A Krasilnikov, ÉA da Silva Israel Journal of Mathematics 179, 127-144, 2010 | 34 | 2010 |
| The identities of a group with nilpotent commutator subgroup are finitely based AN Krasil'nikov Izvestiya: Mathematics 37 (3), 539–553, 1991 | 27* | 1991 |
| The additive group of a Lie nilpotent associative ring A Krasilnikov Journal of Algebra 392, 10-22, 2013 | 25 | 2013 |
| A Non‐Finitely Based System of Polynomial Identities Which Contains the Identity x6= 0. CK Gupta, AN Krasilnikov Quarterly Journal of Mathematics 53 (2), 2002 | 23 | 2002 |
| On the semigroup nilpotency and the Lie nilpotency of associative algebras AN Krasil'nikov Mathematical Notes 62 (4), 426–433, 1997 | 21* | 1997 |
| On the property of having a finite basis of some varieties of Lie algebras AN Krasilnikov Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 34-38, 1982 | 20* | 1982 |
| The finite basis question for varieties of groups---some recent results CK Gupta, A Krasilnikov Illinois Journal of Mathematics 47 (1-2), 273-283, 2003 | 19 | 2003 |
| Groups with bounded verbal conjugacy classes S Brazil, A Krasilnikov, P Shumyatsky Walter de Gruyter 9 (1), 127-137, 2006 | 18 | 2006 |
| Z-graded identities of the Lie algebra W1 JA Freitas, P Koshlukov, A Krasilnikov Journal of Algebra 427, 226-251, 2015 | 17 | 2015 |
| Identities of triangulable matrix representations of groups AN Krasilnikov Trudy Moskovskogo Matematicheskogo Obshchestva 52, 229–245, 1989 | 16* | 1989 |
| The torsion subgroup of the additive group of a Lie nilpotent associative ring of class 3 G Deryabina, A Krasilnikov Journal of Algebra 428, 230-255, 2015 | 15 | 2015 |
| A simple example of a non-finitely based system of polynomial identities CK Gupta, AN Krasilnikov Communications in Algebra 30 (10), 4851-4866, 2002 | 15 | 2002 |
| On the group of units of a ring whose associated Lie ring is metabelian AN Krasil'nikov Russian Mathematical Surveys, 1992 | 15 | 1992 |
| Products of commutators in a Lie nilpotent associative algebra G Deryabina, A Krasilnikov Journal of Algebra 469, 84-95, 2017 | 14 | 2017 |
| Graded central polynomials for the matrix algebra of order two AP Brandão Jr, P Koshlukov, A Krasilnikov Monatshefte für Mathematik 157 (3), 247-256, 2009 | 14 | 2009 |
| Some Non-Finitely Based Varieties of Groups and Group Representations. CK Gupta, AN Krasil'nikov International Journal of Algebra & Computation 5 (3), 1995 | 13 | 1995 |
| On Some Extremal Varieties of Associative Algebras EA Kireeva, AN Krasil'nikov Mathematical Notes 78 (3), 503–517, 2005 | 11* | 2005 |
| Relations in universal Lie nilpotent associative algebras of class 4 EA da Costa, A Krasilnikov Communications in Algebra 46 (3), 1367-1386, 2018 | 10 | 2018 |
| Polynomial identities in nil-algebras E Aladova, A Krasilnikov Transactions of the American Mathematical Society 361 (11), 5629-5646, 2009 | 10 | 2009 |
| Applications of the Magnus embedding in the theory of varieties of groups and Lie algebras AN Krasilnikov, AL Shmelkin Fundamentalnaya i Prikladnaya Matematika 5 (2), 493-502, 1999 | 9* | 1999 |
