We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
APPLICATIONS OF COTORSION PAIRS.
- Authors
HENNING KRAUSE; ØYVIND SOLBERG
- Abstract
For an artin algebra $\Lambda$, cotorsion pairs are studied for the category ${\rm mod}\Lambda$ of finitely presented $\Lambda$-modules and for the category ${\rm Mod}\Lambda$ of all $\Lambda$-modules. It is shown that every cotorsion pair for ${\rm mod}\Lambda$ induces a cotorsion pair for ${\rm Mod}\Lambda$. This has some interesting applications, even for the category of finitely presented modules. Another theme of the paper is the interplay between cotorsion and torsion pairs. This leads to a conjecture which is an analogue of the telescope conjecture in stable homotopy theory.
- Subjects
ARTIN algebras; COMMUTATIVE algebra; TORSION products
- Publication
Journal of the London Mathematical Society, 2003, Vol 68, Issue 3, p631
- ISSN
0024-6107
- Publication type
Article
- DOI
10.1112/S0024610703004757