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 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 …

In a compactly generated triangulated category, we introduce a class of tilting objects
satisfying a certain purity condition. We call these the decent tilting objects and show that the …

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 …

The aim of this note is to develop a construction of tilting complexes given by Okuyama [4]
and a construction of two-sided tilting complexes given by Rouquier and Zimmermann [7] …

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 …

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 …

Tilting modules play an important role in the representation theory of finite dimensional
algebras. Traditionally, one considers tilting modules of projective dimension at most one …

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 …

An important result in tilting theory states that a class of modules over a ring is a tilting class
if and only if it is the Ext-orthogonal class to a set of compact modules of bounded projective …