Cotilting and a Hierarchy of Almost Cotorsion Groups

By R. Göbel, Jan Trlifaj. 2000

49 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0ad8d545831c329b033d045b74893224aa027ee5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Jan Trlifaj
2. Michal Hrbek
3. Paul C. Eklof
4. J. Št’ovíček
5. Lidia Angeleri Hugel
6. James Gillespie
7. R. Bashir
8. Silvana Bazzoni

In Geometry and Topology

1. Jan Trlifaj
2. Michal Hrbek
3. Paul C. Eklof
4. J. Št’ovíček
5. Lidia Angeleri Hugel
6. R. Bashir
7. James Gillespie
8. Silvana Bazzoni

Citations in the corpus

• COVERS, ENVELOPES, AND COTORSION THEORIES (2000, background): “Assuming V = L, if R = Z (or R is any small Dedekind domain) then the torsion classes of the form TP are the only tilting torsion classes of modules over R, see [ 32 ] (or [47]).”
• One-tilting classes and modules over commutative rings (2015, background): “lly we characterize the cases when tilting modules arise from perfect localizations. 1. Introduction The classication of tilting classes and modules was done gradually, starting with abelian groups ([GT00]), then small Dedekind domains, rst assuming V=L ([TW02],[TW03]), and then in ZFC ([BET05]), fo”
• How To Make Ext Vanish (2001, background): “Ext(Z • ;A) = 0 provided • is such that jA j• 2 • and • 10 ] asked whether there is a single cardinal ‰ such that Ext(Z ‰ ;A )=0i s a su‐cient condition for A to be cotorsion.”