Absolutely Koszul algebras and the Backelin-Roos property
A Conca, SB Iyengar, HD Nguyen, T Römer - Acta Mathematica …, 2015 - Springer
A Conca, SB Iyengar, HD Nguyen, T Römer
Acta Mathematica Vietnamica, 2015•SpringerWe 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.
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.
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.
Springer