For a locally presentable abelian category B with a projective generator, we construct the
projective derived and contraderived model structures on the category of complexes …

We introduce a refinement of the Gorenstein flat dimension for complexes over an
associative ring—the Gorenstein flat-cotorsion dimension—and prove that it, unlike the …

In the derived category of a commutative noetherian ring, we explicitly construct a silting
object associated with each sp-filtration of the Zariski spectrum satisfying the" slice" …

Homological algebra originated in late 19th century topology. Homological studies of
algebraic objects, such as rings and modules, only got under way in the middle of the 20th …

We study the small and big finitistic projective, injective and flat dimensions over a non-
positively graded commutative noetherian DG-ring $ A $ with bounded cohomology. Our …

For a module-finite algebra over a commutative noetherian ring, we give a complete
description of flat cotorsion modules in terms of prime ideals of the algebra, as a …

We expand on two existing characterizations of rings of Gorenstein (weak) global dimension
zero and give two new characterizations of rings of finite Gorenstein (weak) global …

Let $ A $ and $ B $ be rings and $ U $ be a $(B, A) $-bimodule. If $ _BU $ has finite flat
dimension, $ U_A $ has finite flat dimension and $\tpa {U}{C} $ is a cotorsion left $ B …

Let RR be a ring with identity. Inspired by recent work in Emmanouil, Preprint, 2021, we
show that the derived category of RR is equivalent to the chain homotopy category of all K …

We give a result of Auslander-Ringel-Tachikawa type for Gorenstein-projective modules
over a complete Gorenstein order. In particular, we prove that a complete Gorenstein order …