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- Title
ω-Euclidean Domains and Skew Laurent Formal Series Rings.
- Authors
Romaniv, O. M.; Sagan, A. V.
- Abstract
It is proved that if R is a right ω-Euclidean domain, then a formal skew Laurent power series ring is a right ω-Euclidean domain. It is shown that if R is a right ω -Euclidean domain with multiplicative norm, then a skew Laurent formal power series ring is a right principal ideal domain. We also prove that if R is a noncommutative ω-Euclidean domain with multiplicative norm, then a skew Laurent formal power series ring is a ring with elementary reduction of matrices.
- Subjects
LAURENT series; POWER series; EUCLIDEAN algorithm
- Publication
Journal of Mathematical Sciences, 2023, Vol 277, Issue 1, p47
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-023-06812-4