\( \omega \)-Euclidean domains and skew Laurent formal series rings

DOI10.1007/s10958-023-06812-4arXiv1707.02734OpenAlexW4389954175MaRDI QIDQ6147688

A. V. Sagan, O. M. Romaniv

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02734

zbMATH Keywords

principal ideal domainring with elementary reduction of matricesskew Laurent formal series ring\( \omega \)-Euclidean domain

Mathematics Subject Classification ID

Arithmetic rings and other special commutative rings (13Fxx) Associative rings and algebras with additional structure (16Wxx) Associative rings and algebras arising under various constructions (16Sxx)

Cites Work

• Unnamed Item
• Some results on skew generalized power series rings
• Laurent rings.
• Simplicity of skew generalized power series rings
• About Euclidean rings
• Right Principal Bezout Domains
• A weakening of the euclidean property for integral domains and applications to algebraic number theory. I.
• Right serial skew Laurent series rings
• $\omega$-Euclidean domain and Laurent series

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