Absolutely Koszul Algebras and the Backelin-Roos Property
Autor(en): | Conca, Aldo Iyengar, Srikanth B. Nguyen, Hop D. Roemer, Tim |
Stichwörter: | Free resolutions; Koszul algebras; Mathematics; Veronese algebras | Erscheinungsdatum: | 2015 | Herausgeber: | SPRINGER SINGAPORE PTE LTD | Journal: | ACTA MATHEMATICA VIETNAMICA | Volumen: | 40 | Ausgabe: | 3, SI | Startseite: | 353 | Seitenende: | 374 | Zusammenfassung: | We study absolutely Koszul algebras, Koszul algebras with the Backelin-Roos property and their behavior under standard algebraic operations. In particular, we identify some Veronese subrings of polynomial rings that have the Backelin-Roos property and conjecture that the list is indeed complete. Among other things, we prove that every universally Koszul ring defined by monomials has the Backelin-Roos property. |
ISSN: | 02514184 | DOI: | 10.1007/s40306-015-0125-0 |
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geprüft am 20.05.2024