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arXiv · 2211.06473

The Igusa-Todorov $ϕ$-dimension on Morita context algebras

Marcos Barrios·Gustavo Mata
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Abstract

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

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BibTeXRIS

Marcos Barrios, Gustavo Mata. 2022-11-11. The Igusa-Todorov $ϕ$-dimension on Morita context algebras. https://arxiv.org/abs/2211.06473

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