8 citations · 37 across the 34 of their papers we have counts for
4 papers · 1 filter
Covers, preenvelopes, and purity
Henrik Holm, Peter Jorgensen
We show that if a class of modules is closed under pure quotients, then it is precovering if and only if it is covering, and this happens if and only if it is closed under direct s…
Compactly generated homotopy categories
Henrik Holm, Peter Jørgensen
Over an associative ring we consider a class of left modules which is closed under set-indexed coproducts and direct summands. We investigate when the triangulated hom…
Auslander-Reiten triangles in subcategories
Peter Jorgensen
This paper introduces Auslander-Reiten triangles in subcategories of triangulated categories. The main theorem of the paper shows that there is a close connection with covers and e…
Amplitude inequalities for Differential Graded modules
Peter Jorgensen
Differential Graded Algebras can be studied through their Differential Graded modules. Among these, the compact ones attract particular attention. This paper proves that over a sui…