LetRbe a ring, Pbe a∗-module, andS= EndP. Inspired by the tilting theory, we investigate
relations between the global dimensions gldimRand gldimS, and between the structure of …

Let $ R $ be a right noetherian ring and let $\mathcal {P}^{<\infty} $ be the class of all finitely
presented modules of finite projective dimension. We prove that findim $ R= n<\infty $ iff …

We investigate the relations between finitistic dimensions and restricted flat dimensions
(introduced by Foxby [LW Christensen, H.-B. Foxby, A. Frankild, Restricted homological …

However, some aspects of the classical theory can be extended to infinitely generated
modules over arbitrary rings. In this paper, we will consider such an aspect: the relation of …

A Dedekind domain R is called small if card (R)⩽ 2ω and card (Spec (R))⩽ ω. Assuming
Gödel's Axiom of Constructibility (V= L), we characterize tilting modules over small Dedekind …

We will study the resolution dimension of functorially finite subcategories. The subcategories
with the resolution dimension zero correspond to ring epimorphisms, and rejective …

Tilting preserves finite global dimension Page 1 Comptes Rendus Mathématique Bernhard
Keller and Henning Krause Tilting preserves finite global dimension Volume 358, issue 5 (2020) …

Given a noetherian abelian k-category of finite homological dimension, with a tilting object T
of projective dimension 2, the abelian category and the abelian category of modules over …

Let Λ be an Artin algebra over a commutative Artin ring R and let modΛ be the category of
finitely generated left Λ-modules. For a module M∈ modΛ, we denote by pdΛ M the …

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 …