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math.RT2023
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…
math.RT2023
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.
math.RA2023★ 1 cited
Strongly stratifying ideals, Morita contexts and Hochschild homology
Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos +1
We consider stratifying ideals of finite dimensional algebras in relation with Morita contexts. A Morita context is an algebra built on a data consisting of two algebras, two bimod…