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math.AG2024
Real Nullstellensatz for 2-step nilpotent Lie algebras
Philipp Schmitt, Matthias Schötz
We prove a noncommutative real Nullstellensatz for 2-step nilpotent Lie algebras that extends the classical, commutative real Nullstellensatz as follows: Instead of the real polyno…
math.AG2022
Positivstellensätze for Semirings
Konrad Schmüdgen, Matthias Schötz
In this paper we develop a number of results and notions concerning Positivstellensätze for semirings (preprimes) of commutative unital real algebras. First we reduce the Archimede…