2023/07/14 by Maite Barrios, Barrios, M., Gustavo Mata +1
Computer Science · Mathematics · #16E30. Secondary 16G10 #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Primary 16W50 #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2307.07570
openalex publication_date 2023/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, we prove that, under certain conditions, Morita context algebras that arise from Igusa-Todorov (LIT) algebras and have zero bimodule morphisms are also Igusa-Todorov (LIT). For a finite dimensional algebra A, we prove that the class ϕ0-1(A) = \M: ϕ(M)=0\ is a 0-Igusa-Todorov subcategory if and only if A is selfinjective or gldim l(A)< ∞. As a consequence A is an (n,V, ϕ0-1(A)) algebra if and only if A is selfinjective or gldim(A)< ∞. We also show that the opposite algebra of a LIT algebra is not LIT in general.