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Absolutely Koszul algebras and the Backelin-Roos property (1411.7938v1)
Published 28 Nov 2014 in math.AC
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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