The Universal Field of Fractions of a Semifir II. The Depth

DOI10.1112/plms/s3-50.1.69zbMath0526.16003OpenAlexW2028114828MaRDI QIDQ3041363

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/s3-50.1.69

zbMATH Keywords

free algebraatomskew fielduniversal field of fractionssemifirfree power series ringeigenringepic R-fieldleft Bezout domainsleft depthlocal fir of bounded depthsolutions of matrix equationssubdirect product of discrete valuation rings

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)

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