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VALUED MODULES OVER SKEW POLYNOMIAL RINGS I.

We introduce a notion of valued module which is suitable to study valued fields of positive characteristic. Then we built-up a robust theory of henselianity in the language of valued modules and prove Ax-Kochen Ershov type results.

Publicado en:Journal of Symbolic Logic Vol. 82; no. 4; pp. 1519 - 1541
Autor principal: ONAY, GÖNENÇ
Formato: Artículo
Publicado: Cambridge University Press Dec2017
Materias:
Polynomial rings
Functional analysis
Model theory
Algorithmic randomness
Applied mathematics
Acceso en línea:Ver este registro en EBSCOhost
Sumario:We introduce a notion of valued module which is suitable to study valued fields of positive characteristic. Then we built-up a robust theory of henselianity in the language of valued modules and prove Ax-Kochen Ershov type results.