The existence of pure-injective envelopes
Ivo Herzog
Ohio State University-Lima
Abstract
The notion of a locally finitely presented additive category
was introduced by Crawley-Boevey as the most general additive setting in
which a theory of purity may be developed. While the machinery of injective
envelopes in a Grothendieck category has been used by Kielpinski to prove
the existence of pure-injective envelopes for a locally finitely presented
abelian category. We will show how the recent proof of Bican, El Bashir
and Enochs of the existence of flat covers and some results of Eklof and
Trlifaj on the vanishing of EXT may be used to prove the existence of pure-injective
envelopes in a locally finitely presented additive category.
Friday, January 25 at 4:30 p.m. in MA 317
Past and upcoming 2001-2 Ring Theory Speakers
Past and upcoming 2000-2001 Ring Theory Speakers
1999-2000 Ring Theory Speakers