singular matrice
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2016 ◽  
Vol 8 (1) ◽  
pp. 158-162 ◽  
Author(s):  
O.M. Romaniv ◽  
A.V. Sagan

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.



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