Hereditary rings integral over their centers
β Scribed by Ellen Kirkman; James Kuzmanovich
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 563 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
A module is weakly minimal if and only if every pp-definable subgroup is either finite or of finite index. We study weakly minimal modules over several classes of rings, including valuation domains, PrΓΌfer domains and integral group rings.
This is the first of three papers that aim to bring the known theory of projective modules over a hereditary Noetherian prime ring R up to roughly the same level as the well-known commutative case, where R is a Dedekind domain. This first paper lays the foundations by introducing the notion of an in
We introduce and impose conditions under which the finitely generated essential right ideals of E may be classified in terms of k-submodules of M. This yields a classification of the domains Morita equivalent to E when E is a Noetherian domain. For example, a special case of our results is: