Constructive Abelian \(p\)-groups
type: Item
instance of: scholarly article
title: Constructive Abelian \(p\)-groups
zbMATH Open document ID: 0854.03037
author: N. G. Khisamiev
published in: Siberian Advances in Mathematics
publication date: 1996-08-28T00:00:00Z
review text: The author finds a necessary and sufficient condition for a countable abelian \(p\)-group which is not the direct sum of cyclic and quasi-cyclic groups to be (strongly) constructivizable. This gives also a condition for an abelian \(p\)-group whose reduced part has finite Ulm type to be (strongly) constructivizable. Every finite direct power of such a group \(G\) is (strongly) constructivizable iff \(G\) is (strongly) constructivizable.
Mathematics Subject Classification ID: 03C57
Mathematics Subject Classification ID: 20K10
Mathematics Subject Classification ID: 03D45
zbMATH DE Number: 894005
zbMATH Keywords: constructive model
zbMATH Keywords: constructivizability
zbMATH Keywords: countable abelian \(p\)-group
zbMATH Keywords: direct sum of cyclic and quasi-cyclic groups
zbMATH Keywords: finite Ulm type
zbMATH Keywords: finite direct power
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 894005