Absolutely Koszul Algebras and the Backelin-Roos Property
Absolutely Koszul Algebras and the Backelin-Roos Property
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DOI：
10.1007/s40306-015-0125-0
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发表时间：
2015-03
影响因子：
0.5
通讯作者：
A. Conca;S. Iyengar;H. D. Nguyen;Tim Römer
中科院分区：
文献类型：
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作者：
A. Conca;S. Iyengar;H. D. Nguyen;Tim Römer
研究了绝对Koszul代数、具有Backelin-Roos性质的Koszul代数及其在标准代数运算下的性质。特别地，我们确定了一些具有Backelin-Roos性质的多项式环的Veronese子环，并推测该列表确实是完备的。我们证明了每一个由单项式定义的普遍Koszul环都具有Backelin-Roos性质。
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.