We define a class of invariants, which we call homological invariants, for persistence
modules over a finite poset. Informally, a homological invariant is one that respects some …

This work establishes a condition that determines when strong generation in the bounded
derived category of a Noetherian J-2 scheme is preserved by the derived pushforward of a …

In this paper, we study (complete) cotorsion pairs in extriangulated categories. First, we
study a relationship between an interval of the poset of cotorsion pairs and the poset of …

In the recent paper" The Nakayama functor and its completion for Gorenstein algebras", a
class of Gorenstein algebras over commutative noetherian rings was introduced, and duality …

This work is concerned with both strong generation and (co) ghost index in the module
category of a commutative noetherian ring. A sufficiency criterion is established for such …

Generalizing Tate's results for tori, we give closed formulas for the abelian Galois
cohomology groups H^ 1_ {ab}(F, G) and H^ 2_ {ab}(F, G) of a connected reductive group G …

Higher Auslander’s Formula | International Mathematics Research Notices | Oxford
Academic Skip to Main Content Advertisement Oxford Academic Journals Books Search …

This work explores bounds on the Rouquier dimension in the bounded derived category of
coherent sheaves on Noetherian schemes. By utilizing approximations, we exhibit that …

We give an account of model theory in the context of compactly generated triangulated and
tensor-triangulated categories ${\cal T} $. We describe pp formulas, pp-types and free …

We study rank functions on a triangulated category 𝒞 via its abelianisation mod⁡ C. We
prove that every rank function on 𝒞 can be interpreted as an additive function on mod⁡ C …