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arXiv · 1509.02422

Idempotent ideals and the Igusa-Todorov functions

Andrea Gatica·Marcelo Lanzilotta·María Inés Platzeck
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Abstract

Let $Λ$ be an artin algebra and $\mathfrak{A}$ a two-sided idempotent ideal of $Λ$, that is, $\mathfrak{A}$ is the trace of a projective $Λ$-module $P$ in $Λ$. We consider the categories of finitely generated modules over the associated rings $Λ/\mathfrak{A}, Λ$ and $Γ=\mathrm{End}_Λ(P)^{op}$ and study the relationship between their homological properties via the Igusa-Todorov functions.

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Andrea Gatica, Marcelo Lanzilotta, María Inés Platzeck. 2015-09-08. Idempotent ideals and the Igusa-Todorov functions. https://arxiv.org/abs/1509.02422

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