2013/11/29 by Richter, Johan
#16S36 #16U70 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1311.7666
We study centralizers in certain algebras with valuation in order to generalize results by Hellström and Silvestrov on centralizers in graded algebras. We prove that the centralizer of an element in the studied algebras is a free module over a certain ring. Under further assumptions we obtain that the centralizer is also commutative.