2024/12/17 by Adrien Deloro, Frank O. Wagner, Frank Olaf Wagner +2
Mathematics · #03C45 #03C60 #13L05 #Commutative Algebra (math.AC) #FOS: Mathematics #Logic (math.LO)
paper · doi:10.48550/arxiv.2412.13316
We show that the action of two infinite commuting invariant rings of endomorphisms of a finite-dimensional virtually connected irreducible bi-module linearizes into a vector space over a definable field. The same holds if the action is merely by strongly commuting endogenies, modulo some finite katakernel.