Simply presented tag modules

Authors
Richman, F
Citation
F. Richman, Simply presented tag modules, COMM ALGEB, 27(4), 1999, pp. 1629-1648
Citations number
19
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
27
Issue
4
Year of publication
1999
Pages
1629 - 1648
Database
ISI
SICI code
0092-7872(1999)27:4<1629:SPTM>2.0.ZU;2-I
Abstract
A tag module is a generalization, in any abelian category, of a torsion abe lian group. The theory of such modules is developed, it is shown that count ably generated tag modules are simply presented, and that Ulm's theorem hol ds for simply presented tag modules. Zippin's theorem is stated and proved for countably generated tag modules.