Zobrazeno 1 - 10
of 380
pro vyhledávání: '"CRUZ, TIAGO"'
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
Autor:
Cruz, Tiago
The foundations of Ringel duality for split quasi-hereditary algebras over commutative Noetherian rings are strengthened. Several descriptions and properties of the smallest resolving subcategory containing all standard modules over split quasi-hered
Externí odkaz:
http://arxiv.org/abs/2405.00729
Autor:
Cruz, Tiago, Marczinzik, René
We generalise a theorem of Tachikawa about reflexive Auslander-Reiten sequences. We apply this to give a new characterisation of the dominant dimension of gendo-symmetric algebras. We also generalise a formula due to Reiten about the dominant dimensi
Externí odkaz:
http://arxiv.org/abs/2404.02274
Autor:
Cruz, Tiago
Important correspondences in representation theory can be regarded as restrictions of the Morita--Tachikawa correspondence. Moreover, this correspondence motivates the study of many classes of algebras like Morita algebras and gendo-symmetric algebra
Externí odkaz:
http://arxiv.org/abs/2304.01370
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
Autor:
Cruz, Tiago, Erdmann, Karin
Many connections and dualities in representation theory can be explained using quasi-hereditary covers in the sense of Rouquier. The concepts of relative dominant and codominant dimension with respect to a module, introduced recently by the first-nam
Externí odkaz:
http://arxiv.org/abs/2212.00099
Autor:
Cruz, Tiago
Publikováno v:
Forum of Mathematics, Sigma 12 (2024) e105
In this paper, we develop two new homological invariants called relative dominant dimension with respect to a module and relative codominant dimension with respect to a module. These are used to establish precise connections between Ringel duality, s
Externí odkaz:
http://arxiv.org/abs/2210.09344
Autor:
Cruz, Tiago
Important connections in representation theory arise from resolving a finite-dimensional algebra by an endomorphism algebra of a generator-cogenerator with finite global dimension; for instance, Auslander's correspondence, classical Schur--Weyl duali
Externí odkaz:
http://arxiv.org/abs/2208.00291
Autor:
Cruz, Tiago Nuno Correia da
Economia
Master in Economics
Master in Economics
Externí odkaz:
http://hdl.handle.net/10216/57382