Por Giuseppina Terzo (Universidade de Nápoles).
When we work with exponential polynomial rings over an exponential field some classical results fail, as Hilbert’s Basis Theorem and Nullstellensatz.
We investigate E-maximal ideals and E-prime ideals, in order to see if some weak version of Nullstellensatz holds. There exist E-maximal ideals not of the form (x_1 – a_1, …. ,x_n -a_n) and this gives information on Nullstellensatz. Moreover we give conditions to be E-prime ideals and we prove that there are no relations between the notion of E-maximal ideals and E-prime ideals as was for rings.
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