Singular Equivalences and ϕ-Dimensions

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28 January 2026

7 Pages

and

School of Mathematics, Yunnan Normal University, Kunming 650500, China

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Abstract

The

ϕ

-dimension of an algebra is a homological invariant arising from the Igusa–Todorov function. In this paper, we establish a new bound on the

ϕ

-dimensions of two algebras related by singular equivalences of the Morita-type with level.

Keywords:

ϕ-dimension; Igusa–Todorov function; singular equivalences of Morita-type with level

Citations

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