Sarac, B., Smith, P.F. and Tiras, Y. (2007) On Dedekind modules. Communications in Algebra, 35(5), pp. 1533-1538. (doi: 10.1080/00927870601169051)
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Abstract
In this article the authors give the relation between a finitely-generated torsionfree Dedekind module M over a domain R and prime submodules of the O(M)-module M and the ring O(M). They also prove that M is a finitely-generated torsionfree Dedekind module over a domain R if and only if every semi-maximal submodule of R-module M is invertible.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Smith, Professor Patrick |
| Authors: | Sarac, B., Smith, P.F., and Tiras, Y. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Communications in Algebra |
| ISSN: | 0092-7872 |
| ISSN (Online): | 1532-4125 |
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