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Ore Extensions over Total Valuation Rings

✍ Scribed by Hidetoshi Marubayashi


Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
458 KB
Volume
13
Category
Article
ISSN
1386-923X

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Extensions of valuation rings V of a skew field K are considered in the skew Ε½ . field F s K x, for a monomorphism of K. At least two such extensions exist if is an automorphism, but no extension may exist if is a monomorphism only. There exist extensions R Ε½ a. of V in F with xR Ε½ a. s aR Ε½ a. for

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