莫里塔上下文结构上的 Igusa-Todorov （\phi \）-维度

Pub Date : 2023-06-13 DOI:10.1007/s10468-023-10218-w

Marcos Barrios, Gustavo Mata

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引用次数: 0

摘要

在这篇文章中，我们证明了在某些假设条件下，双模态为零的莫里塔上下文代数具有有限的 \(\phi \)-维度。对于这些代数，我们还研究了一个代数及其反面的 \(\phi\)-dimension 的行为。特别是，我们证明了阿尔丁代数的 \(\phi \)-维度不是对称的，也就是说，存在一个阿尔丁代数 A，使得 \(\phi \dim (A) \not = \phi \dim (A^{op})\).

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The Igusa-Todorov \(\phi \)-Dimension on Morita Context Algebras

In this article we prove that, under certain hypotheses, Morita context algebras with zero bimodule morphisms have finite \(\phi \)-dimension. For these algebras we also study the behaviour of the \(\phi \)-dimension for an algebra and its opposite. In particular we show that the \(\phi \)-dimension of an Artin algebra is not symmetric, i.e. there exists an Artin algebra A such that \(\phi \dim (A) \not = \phi \dim (A^{op})\).

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