Date: 07 Jun 2005

An ackermannian polynomial ideal

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Abstract

In this paper we answer the following question of Teo Mora ([8]): Write down a monomial ideal starting with a monomial of degree d, adding a monomial of degree d+1, another one of degree d+2, and so on, with every new monomial added not being a multiple of the previous ones; which is the maximal degree one can reach with this construction?

The paper is organized as follows. In section 1 we state the result concerning Mora's question; sections 2 and 3 contain some preliminaries and the proof, while in section 4 an example is shown and some remarks are made.