Mayr-Meyer理想的极小分支
The minimal components of the Mayr-Meyer ideals
摘要：
Mayr和Meyer发现了理想$J(n,d)$（在域$k$上的$10n+2$变量的多项式环中，并且次数至多为$d+2$的生成元）具有理想隶属性质，该性质在$n$中是双指数的。本文是理解这些理想的准素分解的第一步：这里证明了$J(n,d)$有$nd^2 + 20$极小素理想。此外，计算所有的最小分量，以及最小分量的交集。
英文摘要：
Mayr and Meyer found ideals $J(n,d)$ (in a polynomial ring in $10n+2$ variables over a field $k$ and generators of degree at most $d+2$) with ideal membership property which is doubly exponential in $n$. This paper is a first step in understanding the primary decomposition of these ideals: it is proved here that $J(n,d)$ has $nd^2 + 20$ minimal prime ideals. Also, all the minimal components are computed, and the intersection of the minimal components as well.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
