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Details for article 7 of 17 found articles
| Title: |
Chain conditions in modules with krull dimension |
| Author: |
Pusat-Yilmaz, Dilek Smith, Patrick F. |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 24 (1996) nr. 13 pages 4123-4133 |
| Year: |
1996 |
| Contents: |
Any ring with Krull dimension satisfies the ascending chain condition on semiprime ideals. This result does not hold more generally for modules. In particular if Ris the first Weyl algebra over a field of characteristic 0 then there are Artinian R-modules which do not satisfy the ascending chain condition on prime submodules. However, if Ris a ring which satisfies a polynomial identity then any R-module with Krull dimension satisfies the ascending chain condition on prime submodules, and, if Ris left Noethe-rian, also the ascending chain condition on semiprime submodules. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 7 of 17 found articles
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