Divisible Rigid Groups. IV. Definable Subgroups | Sciact - Система учета научной деятельности ИМ СО РАН

Divisible Rigid Groups. IV. Definable Subgroups Научная публикация

Журнал

Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302

Вых. Данные

Год: 2020, Том: 59, Номер: 3, Страницы: 237-252 Страниц : 16 DOI: 10.1007/s10469-020-09596-7

Ключевые слова

definable subgroup; divisible group; rigid group

Авторы

Romanovskii N.S. ^1,2

Организации

1	Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russian Federation
2	Novosibirsk State University

A group G is said to be rigid if it contains a normal series G = G1 > G2 > … > Gm > Gm+1 = 1, whose quotients Gi/Gi+1 are Abelian and, when treated as right ℤ[G/Gi]-modules, are torsion-free. A rigid group G is divisible if elements of the quotient Gi/Gi+1 are divisible by nonzero elements of the ring ℤ[G/Gi]. We describe subgroups of a divisible rigid group which are definable in the signature of the theory of groups without parameters and with parameters. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

Romanovskii N.S.
Divisible Rigid Groups. IV. Definable Subgroups
Algebra and Logic. 2020. V.59. N3. P.237-252. DOI: 10.1007/s10469-020-09596-7 WOS Scopus OpenAlex

Web of science:	WOS:000585009100004
Scopus:	2-s2.0-85094635251
OpenAlex:	W3096865134

БД	Цитирований
Scopus	5
OpenAlex	4
Web of science	4