Algebraic aspects of general free skew extensions of rings

2025/02/28 by Ferreira, Vitor O., Fornaroli, Érica Z., Sánchez, Javier
#16S10 #16S36 #16W60 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2502.21058

Abstract

We consider skew free extensions of rings, also known as free multivariate skew polynomial rings, and explore some of the algebraic aspects of this construction. We give different characterizations of such rings and present conditions for such a ring to be a domain, to be embeddable in a series ring and to be prime.

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