The Universal Field of Fractions of a Semifir I. Numerators and Denominators

DOI10.1112/plms/s3-44.1.1zbMath0424.16002OpenAlexW2027417165MaRDI QIDQ3858398

Paul M. Cohn

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1112/plms/s3-44.1.1

zbMATH Keywords

free left modulestorsion moduleuniversal field of fractionsstable associationuniversal denominatorsleft depthleft equivalencefield of fractions of a semifirmodules over a semifirstable biassociation

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Localization and associative Noetherian rings (16P50) Representation theory of associative rings and algebras (16Gxx) Division rings and semisimple Artin rings (16Kxx)

Related Items

Noncommutative factorization of variable-length codes, Shuffle on trajectories: Syntactic constraints, Matrix valuations and their associated skew fields, Term rewriting and Hoare logic -- Coded rewriting, Realizations of non‐commutative rational functions around a matrix centre, I: synthesis, minimal realizations and evaluation on stably finite algebras, An algebraic generalization of Frege structures -- binding algebras, On the Abelianized multiplicative group of a universal field of fractions, Verifying programs by induction on their data structure: general format and applications, ON THE CONSTRUCTION OF THE FREE FIELD