Title
Fuchs’ Problem for Indecomposable Abelian Groups
Document Type
Article
Publication Date
9-2015
Department 1
Mathematics
Abstract
More than 50 years ago, László Fuchs asked which abelian groups can be the group of units of a commutative ring. Though progress has been made, the question remains open. We provide an answer to this question in the case of indecomposable abelian groups by classifying the indecomposable abelian groups that are realizable as the group of units of a ring of any given characteristic.
DOI
10.1016/j.jalgebra.2015.05.011
Recommended Citation
Chebolu, Sunil K. and Lockridge, Keir. "Fuchs’ Problem for Indecomposable Abelian Groups." Journal of Algebra 438 (September 2015), 325-336.
Comments
Original version is available from the publisher, Elsevier.