We study necessary and sufficient conditions for a valued field K with value group G and residue field k (with char K=chark) to admit a truncation closed embedding in the field of generalized power series k((G,f)) (with factor set f)
Towers of complements to valuation rings and truncation closed embeddings of valued fields / Fornasiero, Antongiulio; Kuhlmann, Franz-Viktor; Kuhlmann, Salma. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 323:(2010), pp. 574-600. [10.1016/j.jalgebra.2009.11.023]
Towers of complements to valuation rings and truncation closed embeddings of valued fields
Fornasiero, Antongiulio;
2010
Abstract
We study necessary and sufficient conditions for a valued field K with value group G and residue field k (with char K=chark) to admit a truncation closed embedding in the field of generalized power series k((G,f)) (with factor set f)
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