N. S. Romanovskiĭ

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Morley rank of a definable set over a divisible rigid group2026 · аннотациясвернуть

  In this paper, we calculate the Morley rank of an arbitrary definable Morley irreducible set over a divisible [Formula: see text]-rigid group via a generic point.

• Completion of the Solvable Baumslag–Solitar group. Elementary Theory2024
• Algebraic Closures in Divisible Rigid Groups2024 · аннотациясвернуть

  Abstract We prove that in a divisible m -rigid group the algebraic closure of each set generating a subgroup of solvability length m coincides with the elementary closure of this set.

• Generic Types and Generic Elements in Divisible Rigid Groups2024
• Groups Universally Equivalent to the Solvable Baumslag–Soliter Group2022 · аннотациясвернуть

  We describe the finitely generated groups that are universally equivalent to the solvable Baumslag–Soliter group with parameters (1,n), |n|>1.

• Equational Noetherianness of rigid soluble groups2009
• Irreducible algebraic sets over divisible decomposed rigid groups2009
• Nilpotent groups of finite algorithmic dimension1989