Almost split sequences and approximations

Details Almost split sequences and approximations Almost split sequences and approximations

2012-03-19

arxiv.org/abs/1203.5009v1

Mathematics

Category Theory

16 pages

Scientific paper

Let A be an exact category, that is, an extension-closed full subcategory of an abelian category. Firstly, we give some necessary and sufficient conditions for A to have almost split sequences. Then, we study when an almost split sequence in A induces an almost split sequence in an exact subcategory C of A. In case A has almost split sequences and C is Hom-finite Krull-Schmidt, this provides a necessary and sufficient condition for C to have almost split sequences. Finally, we show two applications of these results.

Affiliated with

Also associated with

No associations

Rating

Almost split sequences and approximations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Almost split sequences and approximations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Almost split sequences and approximations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-213397