Mathematical Logic Webinar

Exponential Ideals in exponential polynomial rings

Sala 6.2.33, Ciências ULisboa (com transmissão via Zoom)

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.


Transmissão via Zoom.

16h00
CMAFcIO - Centro de Matemática, Aplicações Fundamentais e Investigação Operacional