On split quasi-hereditary covers and Ringel duality
T Cruz - arXiv preprint arXiv:2210.09344, 2022 - arxiv.org
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 …
dimension with respect to a module and relative codominant dimension with respect to a …
On Noetherian algebras, Schur functors and Hemmer-Nakano dimensions
T Cruz - arXiv preprint arXiv:2208.00291, 2022 - arxiv.org
Important connections in representation theory arise from resolving a finite-dimensional
algebra by an endomorphism algebra of a generator-cogenerator with finite global …
algebra by an endomorphism algebra of a generator-cogenerator with finite global …
Cellular Noetherian algebras with finite global dimension are split quasi-hereditary
T Cruz - Journal of Algebra and its Applications, 2023 - World Scientific
We prove that cellular Noetherian algebras with finite global dimension are split quasi-
hereditary over a regular commutative Noetherian ring with finite Krull dimension and their …
hereditary over a regular commutative Noetherian ring with finite Krull dimension and their …
Quasi-hereditary covers of Temperley-Lieb algebras and relative dominant dimension
T Cruz, K Erdmann - arXiv preprint arXiv:2212.00099, 2022 - arxiv.org
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 …
hereditary covers in the sense of Rouquier. The concepts of relative dominant and …
Characteristic tilting modules and Ringel duality in the Noetherian world
T Cruz - arXiv preprint arXiv:2405.00729, 2024 - arxiv.org
The foundations of Ringel duality for split quasi-hereditary algebras over commutative
Noetherian rings are strengthened. Several descriptions and properties of the smallest …
Noetherian rings are strengthened. Several descriptions and properties of the smallest …