Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: Keywords: partially commutative groups,
nilpotent groups,
algebraic geometry over groups.
Subject:
Satisfiability of graph formulas over partially commutative nilpotent groups.
Main publications:
A. A. Mishchenko, A. V. Treier, “Algorithmic decidability of the universal equivalence problem for partially commutative nilpotent groups”, Algebra and Logic, 52:2 (2013), 147–158
A. A. Mishchenko, E. I. Timoshenko, “Universal equivalence of partially commutative nilpotent groups”, Siberian Math. J., 52:5 (2011), 884–891
A. A. Mishchenko, “Structure of coordinate groups for algebraic sets in partially commutative nilpotent groups”, Algebra and Logic, 48:3 (2009), 214–227
A. A. Mishchenko, A. V. Treyer, “Commuting graphs for partially commutative nilpotent $\mathbb Q$-groups of class $2$”, Sib. Èlektron. Mat. Izv., 4 (2007), 460–481