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 $ 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 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 …

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 …

We introduce the notion of big tilting complexes over associative rings, which is a
simultaneous generalization of good tilting modules and tilting complexes over rings. Given …

The main theme of this paper is to study $\tau $-tilting subcategories in an abelian category
$\mathscr {A} $ with enough projective objects. We introduce the notion of $\tau $-cotorsion …

Let $\mathcal {A} $ be a small dg category over a field $ k $ and let $\mathcal {U} $ be a
small full subcategory of the derived category $\mathcal {D}\mathcal {A} $ which generates …

We introduce symmetric subcategories of abelian categories and show that the derived
category of the endomorphism ring of any good tilting module over a ring is a recollement of …

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 …

We introduce the notion of noncompact (partial) silting and (partial) tilting sets and objects in
any triangulated category D with arbitrary (set-indexed) coproducts. We show that …