Combinatorial Problems for Skew Fields I. Analogue of Britton's Lemma, and Results of Adjan-Rabin Type

DOI10.1112/plms/s3-39.2.211zbMath0433.16018OpenAlexW1981927994WikidataQ125056955 ScholiaQ125056955MaRDI QIDQ3871047

Angus J. Macintyre

Publication date: 1979

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-39.2.211

zbMATH Keywords

firfield coproductuniversal field of fractionsMarkov classAdyan-Rabin theoremBritton's lemma for skew fieldsCohn extensionfinitely presented field with unsolvable word problemk-disjoint pairspresentation of a field

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Localization and associative Noetherian rings (16P50) Skew fields, division rings (12E15) Division rings and semisimple Artin rings (16Kxx)

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Von Staudt constructions for skew-linear and multilinear matroids ⋮ HNN-extensions of Lie algebras ⋮ Some algorithmic problems for projective planes

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