A Short Note on the Higher Level Version of the Krull–Baer Theorem

Autor:	Dejan Velušček
Rok vydání:	2011
Předmět:	Algebra General Mathematics ComputingMethodologies_DOCUMENTANDTEXTPROCESSING Mathematics
Zdroj:	Canadian Mathematical Bulletin. 54:381-384
ISSN:	1496-4287 0008-4395
DOI:	10.4153/cmb-2010-095-0
Popis:	Klep and Velušček generalized the Krull–Baer theorem for higher level preorderings to the non-commutative setting. A n-real valuation v on a skew field D induces a group homomorphism . A section of is a crucial ingredient of the construction of a complete preordering on the base field D such that its projection on the residue skew field kv equals the given level 1 ordering on kv. In the article we give a proof of the existence of the section of , which was left as an open problem by Klep and Velušček, and thus complete the generalization of the Krull–Baer theorem for preorderings.
Databáze:	OpenAIRE
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