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pro vyhledávání: '"Mata, Gustavo"'
In [8] V. G\'elinas introduced a homological invariant, called {\it delooping level} (dell), that bounds the finitistic dimension. In this article, we introduce another homological invariant (Dell) related to the delooping level for an Artin algebra.
Externí odkaz:
http://arxiv.org/abs/2410.16422
In this survey, we review the fundamental properties of the Igusa-Todorov functions, the $\phi$-dimension, the $\psi$-dimension and their generalizations.
Externí odkaz:
http://arxiv.org/abs/2310.09283
In this article the concept of handle element of Frobenius algebras, as in [16], will be extended to nearly Frobenius algebras. The main properties of this element will be analyzed in this case and many examples will be constructed. Also the Casimir
Externí odkaz:
http://arxiv.org/abs/2308.12848
Autor:
Barrios, Marcos, Mata, Gustavo
In this article we prove that, under certain hypotheses, Morita context algebras that have zero bimodule morphisms have finite $\phi$-dimension. We also study the behaviour of the $\phi$-dimension for an algebra and its opposite. In particular we sho
Externí odkaz:
http://arxiv.org/abs/2211.06473
Autor:
da Mata, Gustavo Eduardo, Bricola, Rafael, Ribeiro, Danielle Naves, Simabuco, Fernando M., Pauli, José R., de Freitas, Ellen C., Ropelle, Eduardo R., da Silva, Adelino S.R., Pinto, Ana P.
Publikováno v:
In Cytokine March 2024 175
Autor:
Barrios, Marcos, Mata, Gustavo
Lat-Igusa-Todorov algebras are a natural generalization of Igusa-Todorov algebras. They are defined using the generalized Igusa-Todorov functions given in \cite{BLMV} and also verify the finitistic dimension conjecture. In this article we give new wa
Externí odkaz:
http://arxiv.org/abs/2105.06273
This article is divided into two parts. In the first part we work over a field $\mathbb{k}$ and prove that the Frobenius space associated to a Frobenius algebra is generated as left A-module by the Frobenius coproduct. In particular, we prove that th
Externí odkaz:
http://arxiv.org/abs/2011.09790
Akademický článek
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Autor:
Barrios, Marcos, Mata, Gustavo
Co-Gorenstein algebras were introduced by A. Beligiannis in \cite{B}. In \cite{KM}, the authors propose the following conjecture (Co-GC): if $\Omega^n (\mod A)$ is extension closed for all $n \leq 1$, then $A$ is right Co-Gorenstein, and they prove t
Externí odkaz:
http://arxiv.org/abs/1911.02325