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Absolutely Koszul Algebras and the Backelin-Roos Property

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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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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146, Genova, Italy

    Aldo Conca & Hop D. Nguyen

  2. Department of Mathematics, University of Utah, Salt Lake City, UT, 84112, USA

    Srikanth B. Iyengar

  3. Institut für Mathematik, Universität Osnabrück, 49069, Osnabrück, Germany

    Tim Römer

Authors
  1. Aldo Conca
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  2. Srikanth B. Iyengar
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  3. Hop D. Nguyen
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  4. Tim Römer
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Correspondence to Aldo Conca.

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Dedicated to Ngo Viet Trung on the occasion of his sixtieth birthday

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Conca, A., Iyengar, S.B., Nguyen, H.D. et al. Absolutely Koszul Algebras and the Backelin-Roos Property. Acta Math Vietnam 40, 353–374 (2015). https://doi.org/10.1007/s40306-015-0125-0

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  • DOI: https://doi.org/10.1007/s40306-015-0125-0

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