Igusa-Todorov functions for radical square zero algebras

DOI10.1016/j.jalgebra.2017.06.001zbMath1377.16038arXiv1506.05894OpenAlexW2963167001MaRDI QIDQ2012045

Gustavo Mata, Marcelo Américo Lanzilotta, Eduardo do N. Marcos

Publication date: 27 July 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05894

zbMATH Keywords

finitistic dimensionIgusa-Todorov functionsRadical square zero algebras

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (8)

Igusa-Todorov functions for Artin algebras ⋮ Convex subquivers and the finitistic dimension ⋮ Igusa-Todorov \(\phi\) function for truncated path algebras ⋮ The Igusa-Todorov \(\phi \)-dimension on Morita context algebras ⋮ Igusa-Todorov and LIT algebras on Morita context algebras ⋮ Gaps for the Igusa-Todorov function ⋮ THE FINITISTIC DIMENSION AND CHAIN CONDITIONS ON IDEALS ⋮ On Lat-Igusa-Todorov algebras

Cites Work

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• An approach to the finitistic dimension conjecture.
• Generalized Igusa-Todorov function and finitistic dimensions.
• Self-injective right Artinian rings and Igusa Todorov functions.
• The \(\phi\)-dimension: a new homological measure.
• On the Dimension of Modules and Algebras (III): Global Dimension

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