Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: Keywords: associative algebras, Lie algebras and superalgebras, polynomial identities, growth functions, gradinds.
Main publications:
Giambruno A, Zaicev M. On codimension growth of finitely generated associative algebras // Advances in Mathematics, 1998, v. 140, p.145–155.
Bahturin Yu. A., Mikhalev A. A., Petrogradsky V. M. , Zaicev M. V. Infinite dimensional Lie superalgebras. Walter de Gruyter, Berlin, New York, 1992. x+250 p.
Zaitsev M. V. Spetsialnye algebry Li // UMN, 1993, t. 48(6), c. 103–140.
Zaitsev M. V., Mischenko S.P. Kriterii polinomialnosti rosta mnogoobrazii superalgebr Li // Izv. RAN. Ser. matem., 1998, t. 62(5), s. 103–116.
Giambruno A, Zaicev M. On codimension growth of finitely generated associative algebras // Advances in Mathematics, 1998, v. 140, p. 145–155.
Giambruno A, Zaicev M. V. Exponential codimension growth of P. I. algebras: an exact estimate // Advances in Mathematics, 1999, v. 142, p. 221–243.
Bahturin Yu. A., Sehgal S. K., Zaicev M. V. Groups gradings on associative algebras // Journal of Algebra, 2001, v. 241, p. 677–698.
Zaitsev M. V. Tselochislennost eksponent rosta tozhdestv konechnomernykh algebr Li // Izv. RAN. Ser. matem., 2002, t. 66(3), s. 23–48.
Giambruno A., Zaicev M. Minimal varieties of algebras of exponential growth // Advances in Mathematics, 2003, v. 174(2), p. 310–323.
Bahturin Yu. A., Zaicev M. V. Identities of Graded Algebras and Codimension Growth // Trans. Amer. Math. Soc., 2004, v. 356(10), p. 3939–3950.
Giambruno A., Zaicev M. Polynomial Identities and Asymptotic Methods, Mathematical Surveys and Monographs, vol. 122, American Mathematical Society,
Providence, RI, 2005. xiv+352 p.
Giambruno A., Mishchenko S., Zaicev M. Algebras with intermediate growth of the codimensions // Adv. Appl. Math., 2006, v. 37(3), p. 360–377.