Zobrazeno 1 - 10
of 86
pro vyhledávání: '"Psaroudakis, Chrysostomos"'
In this paper we investigate injective generation for graded rings. We first examine the relation between injective generation and graded injective generation for graded rings. We then reduce the study of injective generation for graded rings to the
Externí odkaz:
http://arxiv.org/abs/2407.19574
Autor:
Cruz, Tiago, Psaroudakis, Chrysostomos
In this paper, we prove a higher dimensional version of Auslander-Iyama-Solberg correspondence. Iyama and Solberg have shown a bijection between $n$-minimal Auslander-Gorenstein algebras and $n$-precluster tilting modules. If $A$ is an $n$-minimal Au
Externí odkaz:
http://arxiv.org/abs/2405.02736
We investigate the (separated) monomorphism category $\operatorname{mono}(Q,\Lambda)$ of a quiver $Q$ over an Artin algebra $\Lambda$. We construct an epivalence from $\overline{\operatorname{mono}}(Q,\Lambda)$ to $\operatorname{rep}(Q,\overline{\ope
Externí odkaz:
http://arxiv.org/abs/2303.07753
Autor:
Cruz, Tiago, Psaroudakis, Chrysostomos
In this paper, we introduce and study relative Auslander--Gorenstein pairs. This consists of a finite-dimensional Gorenstein algebra together with a self-orthogonal module that provides a further homological feature of the algebra in terms of relativ
Externí odkaz:
http://arxiv.org/abs/2302.10704
We use Quillen model structures to show a systematic method to lift recollements of hereditary abelian model categories to recollements of their associated homotopy categories. To that end, we use the notion of Quillen adjoint triples and we investig
Externí odkaz:
http://arxiv.org/abs/2203.00496
In this paper we show that Gorensteinness, singularity categories and the finite generation condition Fg for the Hochschild cohomology are invariants under the arrow removal operation for a finite dimensional algebra.
Externí odkaz:
http://arxiv.org/abs/2108.04891
A successful theme in the development of triangulated categories has been the study of compact objects. A weak dual notion called 0-cocompact objects was introduced in arXiv:1801.07995, motivated by the fact that sets of such objects cogenerate co-t-
Externí odkaz:
http://arxiv.org/abs/2104.12498
One of the first remarkable results in the representation theory of artin algebras, due to Auslander and Ringel-Tachikawa, is the characterization of when an artin algebra is representation-finite. In this paper, we investigate aspects of representat
Externí odkaz:
http://arxiv.org/abs/2001.04419
Ladders of recollements of abelian categories are introduced, and used to address three general problems. Ladders of a certain height allow to construct recollements of triangulated categories, involving derived categories and singularity categories,
Externí odkaz:
http://arxiv.org/abs/2001.03474
We introduce a very general extension of the monomorphism category as studied by Ringel and Schmidmeier which in particular covers generalised species over locally bounded quivers. We prove that analogues of the kernel and cokernel functor send almos
Externí odkaz:
http://arxiv.org/abs/1907.04657