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arXiv · 2002.07866

Generalised Igusa-Todorov functions and Lat-Igusa-Todorov algebras

Diego Bravo·Marcelo Lanzilotta·Octavio Mendoza·José Vivero
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Abstract

In this paper we study a generalisation of the Igusa-Todorov functions which gives rise to a vast class of algebras satisfying the finitistic dimension conjecture. This class of algebras is called Lat-Igusa-Todorov and includes, among others, the Igusa-Todorov algebras (defined by J. Wei) and the self-injective algebras which in general are not Igusa-Todorov algebras. Finally, some applications of the developed theory are given in order to relate the different homological dimensions which have been discussed through the paper.

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Diego Bravo, Marcelo Lanzilotta, Octavio Mendoza, José Vivero. 2020-02-18. Generalised Igusa-Todorov functions and Lat-Igusa-Todorov algebras. https://arxiv.org/abs/2002.07866

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