We introduce a general version of the singular compactness theorem which makes it
possible to show that being a Σ Σ-cotorsion module is a property of the complete theory of …

We develop axiomatics of highest weight categories and quasi-hereditary algebras in order
to incorporate two semi-infinite situations which are in Ringel duality with each other; the …

In this paper, we introduce the class of Cohen-Macaulay (= CM) dg (= differential graded)
modules over Gorenstein dg algebras and study their basic properties. We show that the …

For an exact category EE with enough projectives and with ad Z d Z-cluster tilting
subcategory, we show that the singularity category of EE admits ad Z d Z-cluster tilting …

Optimal upper bounds are provided for the dominant dimensions of Nakayama algebras and
more general algebras A with an idempotent e such that there is a minimal faithful injective …

In this paper, we generalise part of the theory of hereditary algebras to the context of pro-
species of algebras. Here, a pro-species is a generalisation of Gabriel's concept of species …

In\cite {AB}, Auslander and Bridger introduced Gorenstein projective modules and only
about 40 years after their introduction a finite dimensional algebra $ A $ was found in\cite …

We prove that a finite dimensional algebra $ A $ with representation-finite subcategory
consisting of modules that are semi-Gorenstein-projective and $ n $-th syzygy modules is …

The paper is devoted to study some of the questions arises naturally in connection to the
notion of relative derived categories. In particular, we study invariants of recollements …

Derived equivalences for Cohen–Macaulay Auslander algebras Page 1 Journal of
Pure and Applied Algebra 216 (2012) 355–363 Contents lists available at SciVerse …