Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668854 | Bulletin des Sciences Mathématiques | 2012 | 11 Pages |
Abstract
Let Λ be an artin algebra. We are going to consider full subcategories of mod Λ closed under finite direct sums and under submodules with infinitely many isomorphism classes of indecomposable modules. The main result asserts that such a subcategory contains a minimal one and we exhibit some striking properties of these minimal subcategories. These results have to be considered as essential finiteness conditions for such module categories.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)