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 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 …

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 …

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 …

Let R be a ring and P be an (infinite dimensional) partial tilting module. We show that the
perpendicular category of P is equivalent to the full module category Mod-S where S= End …

For four wide classes of topological rings R, we show that all flat left R-contramodules have
projective covers if and only if all flat left R-contramodules are projective if and only if all left …

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 …

Assume that B is a finite dimensional algebra, and A= B [P 0] is the one-point extension
algebra of B using a finitely generated projective B-module P 0. The categories of B …

Homological tilting modules of finite projective dimension are investigated. They generalize
both classical and good tilting modules of projective dimension at most one, and produce …