Submitted Contributions

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Volume 539 of the series Lecture Notes in Computer Science pp 269-280


An ackermannian polynomial ideal

  • Guillermo Moreno SocíasAffiliated withÉquipe de Calcul Formel, Centre de Mathématiques & LIX École Polytechnique

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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.