Generic Types and Generic Elements in Divisible Rigid Groups

Generic Types and Generic Elements in Divisible Rigid Groups Full article

Journal

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

Output data

Year: 2023, Volume: 62, Number: 1, Pages: 72-79 Pages count : 8 DOI: 10.1007/s10469-023-09726-x

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0002

A group G is said to be m-rigid if it contains a normal series of the form G = G1 > G2 >...>Gm >Gm+1 =1, whose quotients Gi/Gi+1 are Abelian and, treated as (right) Z[G/Gi]-modules, are torsion-free. A rigid group G is said to be divisible if elements of the quotient ρi(G)/ρi+1(G) are divisible by nonzero elements of the ring Z[G/ρi(G)]. Previously, it was proved that the theory of divisible m-rigid groups is complete and ω-stable. In the present paper, we give an algebraic description of elements and types that are generic over a divisible m-rigid group G

Myasnikov A.G. , Romanovskii N.S.
Generic Types and Generic Elements in Divisible Rigid Groups
Algebra and Logic. 2023. V.62. N1. P.72-79. DOI: 10.1007/s10469-023-09726-x WOS Scopus РИНЦ OpenAlex

Мясников А.Г. , Романовский Н.С.
Генерические типы и генерические элементы в делимых жёстких группах
Алгебра и логика. 2023. Т.62. №1. С.102-113. DOI: 10.33048/alglog.2023.62.107 РИНЦ

Submitted:	Feb 22, 2022
Accepted:	Oct 30, 2023
Published online:	Jan 3, 2024
Published print:	May 13, 2024

Web of science:	WOS:001139076400001
Scopus:	2-s2.0-85181234629
Elibrary:	65935141
OpenAlex:	W4390545304

Пока нет цитирований