Regular algebras of dimension 4 and their A-infinity Ext-algebras

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We construct four families of Artin-Schelter regular algebras of global dimension four. Under some generic conditions, this is a complete list of Artin-Schelter regular algebras of global dimension four that are generated by two elements of degree 1. These algebras are also strongly noetherian, Auslander regular and Cohen-Macaulay. One of the main tools is Keller's higher-multiplication theorem on A-infinity Ext-algebras.
34 pages

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Rings and Algebras, Quantum Algebra, 16E65, 16W50, 14A22, 16E45, 16E10

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http://salesiana.dossiersoluciones.com/handle/123456789/73332

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411497
 http://arxiv.org/abs/math/0411497

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arXiv