7 citations · 20 across the 21 of their papers we have counts for
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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…
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.
Generalised Igusa-Todorov functions and Lat-Igusa-Todorov algebras
Diego Bravo, Marcelo Lanzilotta, Octavio Mendoza +1
In this paper we study a generalisation of the Igusa-Todorov functions which gives rise to a vast class of algebras satisfying the finitistic dimension conjecture. This class of al…
Pullback diagrams, syzygy finite classes and Igusa-Todorov algebras
Diego Bravo, Marcelo Lanzilotta, Octavio Mendoza
For an abelian category , we define the category PEx() of pullback diagrams of short exact sequences in , as a subcategory of the functor cat…