51 citations · 264 across the 70 of their papers we have counts for
6 papers · 1 filter
Cluster categories, selfinjective algebras, and stable Calabi-Yau dimensions: types D and E
Thorsten Holm, Peter Jorgensen
The preprints arXiv:math/0610728 and arXiv:math/0612451 are withdrawn due to a problem with Theorem 2.2 in arXiv:math/0610728. The theorem claims that for certain triangulated cate…
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…
Cluster categories, selfinjective algebras, and stable Calabi-Yau dimensions: type A
Thorsten Holm, Peter Jorgensen
The preprints arXiv:math/0610728 and arXiv:math/0612451 are withdrawn due to a problem with Theorem 2.2 in arXiv:math/0610728. The theorem claims that for certain triangulated cate…
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…