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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…
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…
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…