三角lat-igusa-todorov代数

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2022-05-24 DOI:10.1007/s12188-022-00257-3

José Armando Vivero

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引用次数: 1

摘要

2021年，作者D.Bravo、M.Lanzilotta、O.Mendoza和J.Vivero对Igusa-Todorov代数的概念进行了推广，并证明了这些名为Lat-Igusa-Todorov（简称LIT）的代数满足有限维猜想。本文探讨了这种推广的范围，并根据定义中使用的代数和双模，给出了三角矩阵代数为LIT的条件。作为一个应用，我们得到了LIT（\mathbb｛K｝）-代数与基图为树的箭袋的路径代数的张量积是LIT。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Triangular lat-igusa-todorov algebras

In 2021 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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来源期刊

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.