This paper concerns the study of a class of clutters called simplicial subclutters. Given a clutter $\mathcal{C}$ and its simplicial subclutter $\mathcal{D}$, we compare some algebraic properties and invariants of the ideals $I,J$ associated to these two clutters, respectively. We give a formula for computing the (multi)graded Betti numbers of J in terms of those of I and some combinatorial data about $\mathcal{D}$. As a result, we see that if $\mathcal{C}$ admits a simplicial subclutter, then there exists a monomial $u\notin I$ such that the (multi)graded Betti numbers of $I+(u)$ can be computed through those of I. It is proved that the Betti sequence of any graded ideal with linear resolution is the Betti sequence of an ideal associated to a simplicial subclutter of the complete clutter. These ideals turn out to have linear quotients. However, they do not form all the equigenerated square-free monomial ideals with linear quotients. If $\mathcal{C}$ admits ∅ as a simplicial subclutter, then I has linear resolution over all fields. Examples show that the converse is not true.

本文涉及一类称为简单次杂波的杂波的研究。考虑到混乱$\mathcal{C}$ 及其简单的子杂波 $\mathcal{d}$，我们比较理想的一些代数性质和不变量 $\mathrm{一世}，Ĵ$分别与这两个杂波相关。我们给出一个公式用于计算（多）的分级贝蒂数Ĵ在那些方面我和约一些组合数据$\mathcal{d}$。结果，我们看到$\mathcal{C}$ 承认一个简单的杂波，然后存在一个单项式 $ü\notin \mathrm{一世}$ 这样的（多）分级贝蒂数 $\mathrm{一世}+（ü）$可以通过I来计算。证明了具有线性分辨率的任何渐变理想的Betti序列都是与完整杂波的简单子杂波相关联的理想的Betti序列。这些理想结果具有线性商。但是，它们并不能形成所有带有线性商的均等生成的无平方单项理想。如果$\mathcal{C}$承认∅是单纯形子杂波，那么我在所有字段上都有线性分辨率。例子表明，事实并非如此。