This is a report on joint work with Jan Trlifaj. We apply the theory of (in nitely generated)
tilting modules in order to characterize when the little nitistic dimension of a right noetherian …

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 …

Let R be a left noetherian ring, S a right noetherian ring and UR a generalized tilting module
with S= End (UR). The injective dimensions of UR and US are identical provided both of …

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 …

In this note we show that for a* n-module, in particular, an almost n-tilting module, P over a
ring R with A= End RP such that PA has finite flat dimension, the upper bound of the global …

On the symmetry of the finitistic dimension Page 1 Comptes Rendus Mathématique
Henning Krause On the symmetry of the finitistic dimension Volume 361 (2023), p. 1449-1453 …

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

Abstract The notion of Igusa–Todorov classes is introduced in connection with the finitistic
dimension conjecture. As application we consider conditions on special ideals which imply …

For a commutative noetherian ring\(R\), we establish a bijection between the resolving
subcategories consisting of finitely generated\(R\)-modules of finite projective dimension …

arXiv:2211.05519v2 [math.RT] 12 Nov 2022 Page 1 arXiv:2211.05519v2 [math.RT] 12 Nov
2022 ON THE SYMMETRY OF THE FINITISTIC DIMENSION HENNING KRAUSE Dedicated to …