Exact envelopes of complexes

Citation
Ee. Enochs et Jrg. Rozas, Exact envelopes of complexes, COMM ALGEB, 27(4), 1999, pp. 1615-1627
Citations number
17
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
27
Issue
4
Year of publication
1999
Pages
1615 - 1627
Database
ISI
SICI code
0092-7872(1999)27:4<1615:EEOC>2.0.ZU;2-X
Abstract
It is known that every complex of left R-modules has an exact cover. We con sider the question of finding R for which every complex of left R-modules h as an exact envelope. We first give a simple proof that for every R every c omplex of left R-modules has a special exact preenvelope and then use this to show that the left perfect rings are those R for which every complex has an exact envelope. So, for example, this result holds for all artinian rin gs.