Minimal infinite submodule-closed subcategories
Ringel, Claus Michael
arXiv, 1009.0864 / Harvested from arXiv
Text on arXiv
Let $\Lambda$ be an artin algebra. We are going to consider full subcategories of $\mod\Lambda$ 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.
Publié le : 2010-09-04
Classification:  Mathematics - Representation Theory 
@article{1009.0864,
     author = {Ringel, Claus Michael},
     title = {Minimal infinite submodule-closed subcategories},
     journal = {arXiv},
     volume = {2010},
     number = {0},
     year = {2010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1009.0864}
}

Ringel, Claus Michael. Minimal infinite submodule-closed subcategories. arXiv, Tome 2010 (2010) no. 0, . http://gdmltest.u-ga.fr/item/1009.0864/