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| Titel: |
Torsion free extensions and perfect localizations |
| Auteur: |
Verschoren, A. |
| Verschenen in: |
Communications in algebra |
| Paginering: | Jaargang 8 (1980) nr. 9 pagina's 839-859 |
| Jaar: |
1980 |
| Inhoud: |
This note may be viewed as a continuation of the ideas developed in [13]. We start by reviewing some principles concering bimodule localization, the fundamentals of which the reader is assumed to be familiar with. In particular, the main properties of perfect localization and their relation to extensions are recollected. Next, we introduce the idea of a torsion free extension and prove its main features, especially in relation to torsion theories. We conclude by generalizing a theorem of L. Rowen's [9] concerning rings which are torsion free over their center to arbitrary torsion free extensions. His results are thus shown to be of torsion theoretic nature. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 6 van 6 gevonden artikelen
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