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arXiv · 1411.7938

Absolutely Koszul algebras and the Backelin-Roos property

Aldo Conca·Srikanth B. Iyengar·Hop D. Nguyen·Tim Römer
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Abstract

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.

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Aldo Conca, Srikanth B. Iyengar, Hop D. Nguyen, Tim Römer. 2014-11-28. Absolutely Koszul algebras and the Backelin-Roos property. https://arxiv.org/abs/1411.7938

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