The first Mayr-Meyer ideal

Details The first Mayr-Meyer ideal The first Mayr-Meyer ideal

2002-09-12

arxiv.org/abs/math/0209154v1

Mathematics

Commutative Algebra

Scientific paper

This paper gives a complete primary decomposition of the first, that is, the smallest, Mayr-Meyer ideal, its radical, and the intersection of its minimal components. The particular membership problem which makes the Mayr-Meyer ideals' complexity doubly exponential in the number of variables is here examined also for the radical and the intersection of the minimal components. It is proved that for the first Mayr-Meyer ideal the complexity of this membership problem is the same as for its radical. This problem was motivated by a question of Bayer, Huneke and Stillman.

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