Treffer: ω-Euclidean Domains and Skew Laurent Formal Series Rings.

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. [ABSTRACT FROM AUTHOR]

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