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arXiv · 2103.12120

Triangular Lat-Igusa-Todorov algebras

José A. Vivero
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Abstract

Recently the authors D. Bravo, M. Lanzilotta, O. Mendoza and J. Vivero gave a generalization of the concept of Igusa-Todorov algebra and proved that those algebras, named Lat-Igusa-Todorov (LIT for short), satisfy the finitistic dimension conjecture. In this paper we explore the scope of that generalization and give conditions for a triangular matrix algebra to be LIT in terms of the algebras and the bimodule used in its definition. As an application we obtain that the tensor product of an LIT $\mathbb{K}$-algebra with a path algebra of a quiver whose underlying graph is a tree, is LIT.

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José A. Vivero. 2021-03-22. Triangular Lat-Igusa-Todorov algebras. https://arxiv.org/abs/2103.12120

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