10 papers
The resolving completion of an exact category
Marianne Lawson, Janina C. Letz, Julia Sauter
For an exact category we provide two constructions of an ambient category in which the initial category is resolving: In the derived category and in the Gabriel--Quillen embedding.…
An equivalence linking CM-types and
Charley Cummings, Sira Gratz, Ellen Kirkman +3
We show that, for a specific grading, the stable categories of graded maximal Cohen-Macaulay modules over hypersurfaces of type and are equivalent.
Transfer of A-infinity structures to projective resolutions
Janina C. Letz
In this article we prove various results about transferring or lifting -algebra structures along quasi-isomorphisms over a commutative ring.
Regular sequences for triangulated categories
Antonia Kekkou, Janina C. Letz, Marc Stephan
This paper systematically develops a notion of regular sequences in the context of -linear triangulated categories for a graded-commutative ring . The notion has equivalent c…
The Rouquier dimension of the category of perfect complexes over a regular ring
Janina C. Letz
We show that the Rouquier dimension of the category of perfect complexes over a regular ring is precisely the Krull dimension of the ring. Previously, it was known that the Krull d…
Realization functors in algebraic triangulated categories
Janina C. Letz, Julia Sauter
Let be an algebraic triangulated category and an extension-closed subcategory with . Then $\math…