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Finite unions of submodules ON FINITE UNIONS OF SUBMODULES
| Content Provider | Semantic Scholar |
|---|---|
| Author | Gottlieb, Christian |
| Copyright Year | 2013 |
| Abstract | This paper is concerned with finite unions of ideals and modules. The first main result is that if N ⊆ N1 ∪N2 ∪ · · · ∪Ns is a covering of a module N by submodules Ni, such that all but two of the Ni are intersections of strongly irreducible modules, then N ⊆ Nk for some k. The special case when N is a multiplication module is considered. The second main result generalizes earlier results on coverings by primary submodules. In the last section unions of cosets is studied. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.diva-portal.org/smash/get/diva2:766506/FULLTEXT01.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |