Igusa-Todorov functions for Artin algebras

DOI10.1016/j.jpaa.2017.03.012zbMath1417.16038arXiv1605.09766OpenAlexW2964342096MaRDI QIDQ2401916

Gustavo Mata, Marcelo Américo Lanzilotta

Publication date: 5 September 2017

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.09766

zbMATH Keywords

Gorenstein algebrasIgusa-Todorov functions\(\psi\)-dimension

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 (9)

Generalised Igusa-Todorov functions and Lat-Igusa-Todorov algebras ⋮ 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 ⋮ Recollements and homological dimensions ⋮ Gaps for the Igusa-Todorov function ⋮ A counterexample to the \(\phi \)-dimension conjecture ⋮ THE FINITISTIC DIMENSION AND CHAIN CONDITIONS ON IDEALS ⋮ On Lat-Igusa-Todorov algebras

Cites Work

• On syzygies over 2-Calabi-Yau tilted algebras
• On the derived category of a finite-dimensional algebra
• Predicting syzygies over monomial relations algebras
• Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
• An approach to the finitistic dimension conjecture.
• Generalized Igusa-Todorov function and finitistic dimensions.
• Self-injective right Artinian rings and Igusa Todorov functions.
• Igusa-Todorov functions for radical square zero algebras
• The \(\phi\)-dimension: a new homological measure.
• Tilting theory and cluster combinatorics.
• On the representation dimension of artin algebras
• Stable module theory
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