论文标题
转移操作和完全$ t $ - 分开的理想
Shifting operations and completely $t$-spread lexsegment ideals
论文作者
论文摘要
在本文中，我们介绍了任意$ t $ spread lexsegments和任意$ t $ spread lexsegment gentem的概念，并以$ t $ a正整数为单位。这些概念是对任意Lexsegments和任意Lexsegsement理想的自然概括。如果任意$ t $ spread lexsegment产生的理想被称为完全$ t $ spread lexsegment，如果它等于初始$ t $ t $ spread lexsegment office and the thup-spread-spread lexsegment gelebal的相交。我们研究任意$ t $ sprectement lexsegmentsexs的类别。特别是，我们表征了所有完全$ t $ spread lexsegment segment feacters的理想。此外，我们通过线性分辨率将所有$ t $ spread Lexsegment Ideals分类。
In this paper we introduce the concepts of arbitrary $t$-spread lexsegments and of arbitrary $t$-spread lexsegment ideals with $t$ a positive integer. These concepts are a natural generalization of arbitrary lexsegments and arbitrary lexsegment ideals. An ideal generated by an arbitrary $t$-spread lexsegment is called completely $t$-spread lexsegment if it is equal to the intersection of an initial $t$-spread lexsegment ideal and of a final $t$-spread lexsegment ideal. We study the class of arbitrary $t$-spread lexsegment ideals. In particular, we characterize all completely $t$-spread lexsegment ideals. Moreover, we classify all completely $t$-spread lexsegment ideals with a linear resolution.
