“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
Paper IPM / M / 16933  


Abstract:  
Let \CC be a locally bounded \kcategory, where \k is a field. It is proved that \CC is puresemisimple, i.e., every object of \Mod \CC is pureprojective, if and only if every family of morphisms between indecomposable finitely generated \CCmodules is noetherian. Our formalism establishes the puresemisimplicity of Galois coverings, that is, if \CC is a Gcategory with a free Gaction on \ind \CC, then \CC is puresemisimple if and only if \CC/G is so.
Download TeX format 

back to top 