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Weakly associated primes and primary decomposition of modules over commutative rings

✍ Scribed by R. Naghipour; M. Sedghi

Publisher
Akadmiai Kiad
Year
2006
Tongue
English
Weight
208 KB
Volume
110
Category
Article
ISSN
1588-2632

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πŸ“œ SIMILAR VOLUMES

Weakly minimal modules over integral gro
Weakly minimal modules over integral group rings and over related classes of rings
✍ Stefano Leonesi; Sonia L'Innocente; Carlo Toffalori πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 204 KB

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.

Rings of Operators on Modules over Commu
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✍ R.C Cannings; M.P Holland πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 300 KB

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: