7 citations · 20 across the 21 of their papers we have counts for
30 papers
Happel's question, Han's conjecture and -Hochschild (co)homology
Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos +1
We introduce the -Hochschild (co)homology of a finite dimensional associative algebra by means of the higher Auslander-Reiten translate of O. Iyama. We show that the global…
Endomorphism algebras of silting complexes
Lidia Angeleri Hügel, Marcelo Lanzilotta, Jifen Liu +1
We consider endomorphism algebras of -term silting complexes in derived categories of hereditary algebras, and we show that the module category of such an endomorphism algebra h…
Delooping levels
Marcos Barrios, Marcelo Lanzilotta, Gustavo Mata
In [8] V. Gélinas introduced a homological invariant, called {\it delooping level} (dell), that bounds the finitistic dimension. In this article, we introduce another homological i…
On the first -tilting Hochschild cohomology of an algebra
Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos +1
In this paper we introduce, according to one of the main ideas of -tilting theory, the -Hochschild cohomology in degree one of a finite dimensional -algebra , where …
Generalised Lat-Igusa-Todorov Algebras and Morita Contexts
Marcelo Lanzilotta, José Vivero
In this paper we define (special) GLIT classes and (special) GLIT algebras. We prove that GLIT algebras, which generalise Lat-Igusa-Todorov algebras, satisfy the finitistic dimensi…
A survey on Igusa-Todorov functions
Marcos Barrios, Marcelo Lanzilotta, Gustavo Mata
In this survey, we review the fundamental properties of the Igusa-Todorov functions, the -dimension, the -dimension and their generalizations.