The minimal components of the Mayr-Meyer ideals

Details The minimal components of the Mayr-Meyer ideals The minimal components of the Mayr-Meyer ideals

2002-09-13

arxiv.org/abs/math/0209172v1

Mathematics

Commutative Algebra

Scientific paper

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.

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