S. G. Afanas'eva, “Algebraic sets in a divisible <nobr>$2$</nobr>-rigid group”, Sibirsk. Mat. Zh., 2018, Volume 59, Number 2,Pages <nobr>257

Algebraic sets in a divisible $2$-rigid group

S. G. Afanas'eva^abc

^a Sobolev Institute of Mathematics, Novosibirsk, Russia
^b Specialized Educational Scientific Center of Novosibirsk State University, Novosibirsk, Russia
^c Novosibirsk State Technical University, Novosibirsk, Russia

Abstract: We answer the following question: Which finite unions of special irreducible algebraic sets in a divisible $2$-rigid group are algebraic?

Keywords: divisible rigid group, special algebraic set.

UDC: 512.5

MSC: 35R30

Received: 04.07.2017

DOI: 10.17377/smzh.2018.59.202