In this paper, we consider the singularity category D sg (mod A) and the Z-graded singularity
category D sg (mod ZA) for a Gorenstein monomial algebra A. Firstly, for a positively graded …

Let S and R be rings and SCR a semidualizing bimodule. We investigate the relation
between the GC-syzygy with the C-syzygy of a module as well as the relation between the …

Ascent Properties of Auslander Categories Page 1 Canad. J. Math. Vol. 61 (1), 2009 pp. 76–108
Ascent Properties of Auslander Categories Lars Winther Christensen and Henrik Holm Abstract …

We investigate for an artin algebra Λ when categories of dth syzygy modules are closed
under extensions. In this case they are functorially finite resolving, and have an associated …

We use torsion pairs in stable categories and cotorsion pairs in modules categories to study,
in general infinitely generated, Cohen–Macaulay modules and (a generalization of) …

ABSTRACT A natural generalization of locally noetherian and locally coherent categories
leads us to define locally type FP∞ categories. They include not just all categories of …

Journal of Algebra Strongly Gorenstein projective, injective and flat modules Page 1 Journal
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …

The aim of this paper is to outline the structure of the category of the Gorenstein projective Λ-
modules, where Λ is a Nakayama algebra. In addition, we are going to introduce the …

We study the homotopy category of unbounded complexes with bounded homologies and
its quotient category by the homotopy category of bounded complexes. In the case of the …

Let modA be the category of finitely generated right A-modules over an artin algebra⋀, and F
be an additive subfunctor of. Let P (F) denote the full sucategory of A with objects the F …