We study the $ t $-structure induced by an $ n $-tilting module $ T $ in the derived category
$\mathcal {D}(R) $ of a ring $ R $. Our main objective is to determine when the heart of the …

Given a good $ n $-tilting module $ T $ over a ring $ A $, let $ B $ be the endomorphism ring
of $ T $, it is an open question whether the kernel of the left-derived functor $ T\otimes^ L_B …

Let $ T_R $ be a right $ n $-tilting module over an arbitrary associative ring $ R $. In this
paper we prove that there exists an $ n $-tilting module $ T'_R $ equivalent to $ T_R $ which …

Let $ T $ be a $1 $-tilting module whose tilting torsion pair $({\mathcal T},{\mathcal F}) $ has
the property that the heart ${\mathcal H} _t $ of the induced $ t $-structure (in the derived …

We study the behavior of direct limits in the heart of a t-structure. We prove that, for any
compactly generated t-structure in a triangulated category with coproducts, countable direct …

Let TR be a right n-tilting module over an arbitrary associative ring R. In this paper we prove
that there exists a n-tilting module T′ R equivalent to TR which induces a derived …

Let $ R $ be a commutative Noetherian ring and let $\mathcal D (R) $ be its (unbounded)
derived category. We show that all compactly generated t-structures in $\mathcal D (R) …

Every cotilting module over a ring R induces a t-structure with a Grothendieck heart in the
derived category D (Mod-R). We determine the simple objects in this heart and their injective …

Let A and B be two rings, M be a left B, right A bimodule and be the formal triangular matrix
ring. It is known that the category of right T-modules is equivalent to the category Ω of triples …

Let T be an infinitely generated tilting module of projective dimension at most one over an
arbitrary associative ring A, and let B be the endomorphism ring of T. We prove that if T is …