Matlis duality, inverse systems and classification of Artin algebras

Authors

  • Noelia Sánchez Ruiz Universitat de Barcelona

Keywords:

Matlis duality, inverse system, Artin algebra, SINGULAR

Abstract

Amb l’objectiu d’estudiar la classificació d’algunes famílies d’àlgebres artinianes, estudiarem alguns resultats importants sobre mòduls injectius i la dualitat de Matlis. Més específicament, estudiarem la correspondència de Macaulay, la dualitat de Matlis quan R = k[[x1, ... , xn]] amb l’ideal maximal m = (x1, ... , xn). Utilitzant aquesta, podem introduir-nos en les funcions de Hilbert, essencials en la classificació d’àlgebres artinianes. Tots aquests resultats han anat acompanyats de càlculs i exemples fets amb Singular [3] i la llibreria Inverse-syst.lib [4] del Dr. Joan Elias.

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Published

2024-01-26

How to Cite

Sánchez Ruiz, N. (2024). Matlis duality, inverse systems and classification of Artin algebras. Reports@SCM, 8(1), 69–70. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/151076

Issue

Vol. 8 No. 1 (2023)

Section

Extended Abstracts

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