Minimal infinite submodule-closed subcategories

作者：Ringel Claus Michael^*

来源：Bulletin des Sciences Mathematiques, 2012, 136(7): 820-830.

DOI：10.1016/j.bulsci.2012.03.002

Let A be an artin algebra. We are going to consider full subcategories of mod A 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.

• 出版日期2012-11