scientific article

zbMath1144.16002MaRDI QIDQ3503673

Paul M. Cohn

Publication date: 6 June 2008

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

skew polynomial ringsword problemorderingsfields of fractionsvaluationsdivision ringsfree skew fieldsskew fieldsfirssemifirsalgebraically closed fieldsrational identitiesextensions of skew fieldsgeneric division algebrasexistentially closed skew fieldsuniversal fields of fractionsBergman coproduct theoremsGalois theory of skew fieldsMalcev-Neumann formal power series ringsOre rings of fractions

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Polynomials in general fields (irreducibility, etc.) (12E05) Twisted and skew group rings, crossed products (16S35) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Ore rings, multiplicative sets, Ore localization (16U20) Skew fields, division rings (12E15) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Related Items (2)

Valuation methods in group rings and in skew fields. I ⋮ Verbal subgroups and subalgebras in skew fields.

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