论文标题
关于矢量规定的borel理想的最低分辨率的注释
A note on minimal resolutions of vector-spread Borel ideals
论文作者
论文摘要
我们考虑矢量广泛的borel理想。我们证明这些理想具有线性商，因此我们确定了分级的Betti数字和BigradedPoincaré系列。给出了此类理想的极端贝蒂数字的表征。最后，我们对所有Cohen-Macaulay矢量范围内的Borel理想进行了分类。
We consider vector-spread Borel ideals. We show that these ideals have linear quotients and thereby we determine the graded Betti numbers and the bigraded Poincaré series. A characterization of the extremal Betti numbers of such a class of ideals is given. Finally, we classify all Cohen-Macaulay vector-spread Borel ideals.
