ωω-Euclidean domain and Laurent series

Keywords:
ωω-Euclidean domain, formal Laurent series, idempotent matrices
Published online:
2016-06-30
Abstract
It is proved that a commutative domain RR is ωω-Euclidean if and only if the ring of formal Laurent series over RR is ωω-Euclidean domain. It is also proved that every singular matrice over ring of formal Laurent series RXRX are products of idempotent matrices if RR is ωω-Euclidean domain.
How to Cite
(1)
Romaniv, O.; Sagan, A. ωω-Euclidean Domain and Laurent Series. Carpathian Math. Publ. 2016, 8, 158-162.