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

DOI10.1016/J.JALGEBRA.2021.02.036zbMath1476.16005arXiv2002.07866OpenAlexW3142265605MaRDI QIDQ831280

Diego Bravo, Octavio Mendoza, José Armando Vivero, Marcelo Américo Lanzilotta

Publication date: 11 May 2021

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

Full work available at URL: https://arxiv.org/abs/2002.07866

zbMATH Keywords

finitistic dimension conjecture\(n\)-Lat-Igusa-Todorov algebrasgeneralised Igusa-Todorov functionsrelative homological dimensions

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10)

Related Items (3)

Triangular Lat-Igusa-Todorov algebras ⋮ Igusa-Todorov and LIT algebras on Morita context algebras ⋮ On Lat-Igusa-Todorov algebras

Cites Work

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• The representation dimension of a selfinjective algebra of Euclidean type
• On syzygies over 2-Calabi-Yau tilted algebras
• The representation dimension of a selfinjective algebra of wild tilted type
• An approach to the finitistic dimension conjecture.
• Finitistic dimension and Igusa-Todorov algebras.
• Tilting modules of finite projective dimension
• Gorenstein homological dimensions.
• Self-injective right Artinian rings and Igusa Todorov functions.
• The \(\phi\)-dimension: a new homological measure.
• Relative Igusa-Todorov functions and relative homological dimensions
• Igusa-Todorov functions for Artin algebras
• Representation dimension of exterior algebras
• Frobenius pairs in abelian categories. Frobenius pairs in abelian categories, correspondences with cotorsion pairs, exact model categories, and Auslander-Buchweitz contexts
• The homological theory of maximal Cohen-Macaulay approximations
• The finitistic dimension conjectures -- a tale of 3.5 decades
• On the representation dimension and finitistic dimension of special multiserial algebras

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