6 citations · 7 across the 12 of their papers we have counts for
14 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.
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…
Tensor extriangulated categories
Raphael Bennett-Tennenhaus, Isambard Goodbody, Janina C. Letz +1
A tensor extriangulated category is an extriangulated category with a symmetric monoidal structure that is compatible with the extriangulated structure. To this end we define a not…
Realization functors in algebraic triangulated categories
Janina C. Letz, Julia Sauter
Let be an algebraic triangulated category and an extension-closed subcategory with . Then $\mathc…
Generation time for biexact functors and Koszul objects in triangulated categories
Janina C. Letz, Marc Stephan
This paper concerns the generation time that measures the number of cones necessary to obtain an object in a triangulated category from another object. This invariant is called lev…
The Hochschild cohomology ring of monomial algebras
Dalia Artenstein, Janina C. Letz, Amrei Oswald +1
We give an explicit description of a diagonal map on the Bardzell resolution for any monomial algebra, and we use this diagonal map to describe the cup product on Hochschild cohomo…
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.
Koszul homomorphisms and universal resolutions in local algebra
Benjamin Briggs, James C. Cameron, Janina C. Letz +1
We define a local homomorphism to be Koszul if its derived fiber is formal, and if is Koszul in the cla…
Brown representability for triangulated categories with a linear action by a graded ring
Janina C. Letz
In this paper we give necessary and sufficient conditions for a functor to be representable in a strongly generated triangulated category which has a linear action by a graded ring…
Exceptional complete intersection maps of local rings
Srikanth B. Iyengar, Janina C. Letz, Jian Liu +1
This work concerns surjective maps of commutative noetherian local rings with kernel generated by a regular sequence that is part of a minimal generating set for t…
Locally complete intersection maps and the proxy small property
Benjamin Briggs, Srikanth B. Iyengar, Janina C. Letz +1
It is proved that a map of commutative noetherian rings that is essentially of finite type and flat is locally complete intersection if and only is proxy small…
Local to global principles for generation time over commutative noetherian rings
Janina C. Letz
In the derived category of modules over a commutative noetherian ring a complex is said to generate a complex if the latter can be obtained from the former by taking summan…