Self-injective right Artinian rings and Igusa Todorov functions.

DOI10.1007/S10468-011-9330-2zbMath1270.16006arXiv1101.1936OpenAlexW2021327950MaRDI QIDQ1956359

Marcelo Américo Lanzilotta, François Huard

Publication date: 13 June 2013

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1936

zbMATH Keywords

representations of algebrasfinitistic dimensionself-injective Artin algebrasrepresentation dimensionIgusa-Todorov functionsself-injective right Artinian rings

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (17)

Idempotent ideals and the Igusa-Todorov functions ⋮ Relative Igusa-Todorov functions and relative homological dimensions ⋮ Generalised Igusa-Todorov functions and Lat-Igusa-Todorov algebras ⋮ On syzygies over 2-Calabi-Yau tilted algebras ⋮ Igusa-Todorov functions for Artin algebras ⋮ The Igusa-Todorov function for comodules ⋮ Unnamed Item ⋮ 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 ⋮ Igusa-Todorov functions for radical square zero algebras ⋮ A counterexample to the \(\phi \)-dimension conjecture ⋮ The φ-dimension of cyclic Nakayama algebras ⋮ THE FINITISTIC DIMENSION AND CHAIN CONDITIONS ON IDEALS ⋮ The \(\phi\)-dimension: a new homological measure.

Cites Work

• Unnamed Item
• An approach to the finitistic dimension conjecture.
• The finitistic dimension conjectures -- a tale of 3.5 decades

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