Algebraic geometry, combinatorics, modules over associative rings.
Main publications:
Verevkin A.B., “On a Noncommutative Analogue of the Category of Coherent Sheaves on a Projective Scheme”, American Mathematical Society Translations (2), 151 (1992), 41–53
A. B. Verevkin, “On structure of injective hull of module”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2017, no. 1, 13–15
2016
2.
A. B. Verevkin, S. P. Mishchenko, “On varieties with identities of one generated free metabelian algebra”, Chebyshevskii Sb., 17:2 (2016), 21–55
A. B. Verevkin, “On a Matrix Nilpotent Filter”, Mat. Zametki, 92:2 (2012), 192–201; Math. Notes, 92:2 (2012), 176–185
2011
4.
A. B. Verevkin, M. V. Zaicev, S. P. Mishchenko, “A sufficient condition for coincidence of lower and upper exponents of the variety of linear algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 2, 36–39; Moscow University Mathematics Bulletin, 66:2 (2011), 86–89
A. B. Verevkin, Yu. G. Prokhorov, “The Riemann–Roch theorem on surfaces with log terminal singularities”, Fundam. Prikl. Mat., 10:4 (2004), 35–42; J. Math. Sci., 140:2 (2007), 200–205
A. B. Verevkin, “A condition for graded freeness”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 9, 14–15; Russian Math. (Iz. VUZ), 1996, no. 9, 12–13
1993
7.
A. B. Verevkin, “Exact embedding of the Serre category into the category of modules”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 11, 3–5; Russian Math. (Iz. VUZ), 37:11 (1993), 1–3
A. B. Verevkin, “Serre cohomology and localization with respect to ore sets”, Funktsional. Anal. i Prilozhen., 24:1 (1990), 67–68; Funct. Anal. Appl., 24:1 (1990), 57–58
1989
11.
A. B. Verevkin, “Serre cohomology of non-commutative rings and Morita equivalence”, Uspekhi Mat. Nauk, 44:5(269) (1989), 157–158; Russian Math. Surveys, 44:5 (1989), 222–223
A. B. Verevkin, “The dimensions of the superspaces $H^p\bigl(\mathbf{P}^{n|m},\Omega_{\mathrm{ev}}^i(j)\bigr)$”, Uspekhi Mat. Nauk, 43:3(261) (1988), 173–174; Russian Math. Surveys, 43:3 (1988), 229–230
1994
13.
A. B. Verevkin, “Letter to the Editor”, Uspekhi Mat. Nauk, 49:1(295) (1994), 234; Russian Math. Surveys, 49:1 (1994), 255
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