2017/07/10 by Oleh Romaniv, Romaniv, Oleh, Andrij Sagan +1
Mathematics · #06F20 #13F99 #Advanced Differential Equations and Dynamical Systems #Commutative Algebra (math.AC) #FOS: Mathematics #Meromorphic and Entire Functions #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.AC #math.RA #msc:06F20 #msc:13F99
paper · pdf · doi:10.48550/arxiv.1707.02734
arxiv created 2017/07/10 · openalex publication_date 2017/07/10 · arxiv updated 2017/07/11 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
In this paper we proved that if R is right ω-Euclidean domain, then skew Laurent formal series ring is right ω-Euclidean domain. We also showed that if R is a right ω-Euclidean domain with multiplicative norm, then skew Laurent formal series ring is a right principal ideal domain. In addition, we proved that if R is a noncommutative ω-Euclidean domain with a multiplicative norm, then R and skew Laurent formal series ring is a ring with elementary reduction of matrices.