$\omega$-Euclidean domain and Laurent series
Journal Title: Карпатські математичні публікації - Year 2016, Vol 8, Issue 1
Abstract
It is proved that a commutative domain $R$ is $\omega$-Euclidean if and only if the ring of formal Laurent series over $R$ is $\omega$-Euclidean domain. It is also proved that every singular matrice over ring of formal Laurent series $R_{X}$ are products of idempotent matrices if $R$ is $\omega$-Euclidean domain.
Authors and Affiliations
O. M. Romaniv, A. V. Sagan
Keywords
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- DOI 10.15330/cmp.8.1.158-162
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