2021/03/22 by José Vivero, Vivero, José A.
Chemistry · Mathematics · #16E05 #16E10 #16G10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Molecular spectroscopy and chirality #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2103.12120
openalex publication_date 2021/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 \mathbbK-algebra with a path algebra of a quiver whose underlying graph is a tree, is LIT.