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" …

We classify all tilting and cotilting classes over commutative noetherian rings in terms of
descending sequences of specialization closed subsets of the Zariski spectrum …

For a commutative noetherian ring R, we investigate relations between tilting and cotilting
modules in Mod–R and Mod–R m, where m runs over the maximal spectrum of R. For each …

Ring epimorphisms often induce silting modules and cosilting modules, termed minimal
silting or minimal cosilting. The aim of this paper is twofold. Firstly, we determine the minimal …

We classify all tilting classes over an arbitrary commutative ring via certain sequences of
Thomason subsets of the spectrum, generalizing the classification for noetherian …

We classify all tilting and cotilting classes over commutative noetherian rings in terms of
descending sequences of specialization closed subsets of the Zariski spectrum …

We study the transfer of (co) silting objects in derived categories of module categories via
the extension functors induced by a morphism of commutative rings. It is proved that the …

We classify all compactly generated t-structures in the unbounded derived category of an
arbitrary commutative ring, generalizing the result of Alonso Tarrío et al.(J Algebra 324 (3) …

Let $\mathbb {k} $ be a commutative ring with global dimension zero. We show that we can
rigidify homotopy coherent comodules in connective modules over the Eilenberg-Mac Lane …

Inspired by the work of Hahn-Raksit-Wilson, we introduce a variant of the even filtration
which is naturally defined on $\mathbf {E} _ {1} $-rings and their modules. We show that our …