The Universal Field of Fractions of a Semifir: III. Centralizers and Normalizers

DOI10.1112/plms/s3-50.1.95zbMath0526.16004OpenAlexW1999828669MaRDI QIDQ3041364

Paul M. Cohn

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1112/plms/s3-50.1.95

zbMATH Keywords

free algebranormalizerscentralizersprincipal ideal domaincentrenormal closureOre domainfircomplete factorizations of matricescoproducts of fieldsfully atomic semifirmaximal commutative subfieldpersistent semifiruniversal field of fractions of semifir

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) Division rings and semisimple Artin rings (16Kxx)

Related Items (3)

On central extensions of skew fields ⋮ On skew field coproducts with a finite extension ⋮ On a construction of the universal field of fractions of a free algebra

This page was built for publication: The Universal Field of Fractions of a Semifir: III. Centralizers and Normalizers