TL;DR
This paper explores Lat-Igusa-Todorov algebras, generalizing Igusa-Todorov algebras, providing new construction methods, and identifying examples of algebras that do not belong to this class.
Contribution
It introduces novel methods for constructing Lat-Igusa-Todorov algebras and presents an example of algebras outside this class.
Findings
New construction techniques for Lat-Igusa-Todorov algebras
Identification of algebras that are not Lat-Igusa-Todorov
Verification that these algebras satisfy the finitistic dimension conjecture
Abstract
Lat-Igusa-Todorov algebras are a natural generalization of Igusa-Todorov algebras. They are defined using the generalized Igusa-Todorov functions given in \cite{BLMV} and also verify the finitistic dimension conjecture. In this article we give new ways to construct examples of Lat-Igusa-Todorov algebras. On the other hand we show an example of a family of algebras that are not Lat-Igusa-Todorov.
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