Divisible multiplicative groups of fields

JOURNAL OF ALGEBRA

卷:453

Article

Oman, Greg¹ 

[1] Univ Colorado, Dept Math, Colorado Springs, CO 80918 USA

关键词: Absolutely algebraic extension;    Compactness Theorem;    Cyclic extension;    Elementary equivalence;    Lowenheim-Skolem Theorem;    Primitive pth root of unity;   

DOI  :  10.1016/j.jalgebra.2016.01.012

来源: Elsevier

【 摘 要 】

Some time ago, Laszlo Fuchs asked the following question: which abelian groups can be realized as the multiplicative group of (nonzero elements of) a field? The purpose of this note is to answer his query within the class of divisible abelian groups. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free