论文标题
$ t $ -spread lexsegment geblems betti slack的线性分辨率
Linear resolutions of $t$-spread lexsegment ideals via Betti splittings
论文作者
论文摘要
令$ s = k [x_1，\ dots，x_n] $是$ n $变量的多项式环，该变量在字段$ k $上具有系数。 $ t $ - 分布的lexsegment of $ s $ $ i $ $ i $是由$ t $ spread lexsegment Set产生的单一理想。我们通过Betti分割来确定所有$ t $ - 分布的Lexsegment Ideass，并通过线性分辨率进行线性分辨率。作为应用程序，我们为这样一类理想的Betti数字提供了公式，此外，我们还表征了所有不完全的$ t $ sprect-spread lexsegment segment segment segment segment segrend linearts Ideass。
Let $S=K[x_1,\dots,x_n]$ be a polynomial ring in $n$ variables with coefficients over a field $K$. A $t$-spread lexsegment ideal $I$ of $S$ is a monomial ideal generated by a $t$-spread lexsegment set. We determine all $t$-spread lexsegment ideals with linear resolution by means of Betti splittings. As applications we provide formulas for the Betti numbers of such a class of ideals and furthermore we characterize all incompletely $t$-spread lexsegment ideals with linear quotients.
