论文标题
单一理想的线性分辨率和准线性
Linear resolutions and quasi-linearity of monomial ideals
论文作者
论文摘要
我们介绍了准线性的概念，并证明单一理想有必要具有线性分辨率并确定所有准线性二次二次单元理想。我们为单一理想的$ i $定义了强烈的线性单词，并证明，如果$ \ mathbf {u} $是一个强烈的线性单元，则超过$ i $，然后$ i $具有线性分辨率（sesp：is quasi is quasi linearear），并且仅当$ i+i+i+i+\ m m m m m m iS quaseartions of nife and）这里$ \ mathfrak {p} $是任何单一素数理想。
We introduce the concept of quasi-linearity and prove it is necessary for a monomial ideal to have a linear resolution and identify all the quasi-linear quadratic monomial ideals. We define a strongly linear monomial for a monomial ideal $I$ and prove that if $\mathbf{u}$ is a strongly linear monomial over $I$ then $I$ has a linear resolution (resp: is quasi-linear) if and only if $I+\mathbf{u}\mathfrak{p}$ has a linear resolution (resp: is quasi-linear). Here $\mathfrak{p}$ is any monomial prime ideal.
