Algebraic Closures in Divisible Rigid Groups

N. S. Romanovskiĭ

doi:10.1134/s0037446624040116

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Algebraic Closures in Divisible Rigid Groups

N. S. Romanovskiĭ

Year: 2024 Journal: Siberian Mathematical Journal Vol: 65 (4)Pages: 840-845 Publisher: Pleiades Publishing

DOI: 10.1134/s0037446624040116

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Abstract

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.

Keywords:

Mathematics Algebraic number Pure mathematics Algebra over a field Mathematical analysis

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Mathematics and Applications

Physical Sciences → Mathematics → Geometry and Topology

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Finite Group Theory Research

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Algebraic Closures in Divisible Rigid Groups

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