A dimension theorem for division rings

DOI10.1007/BF02761192zbMath0437.16014OpenAlexW2081690426MaRDI QIDQ1141214

Richard Resco

Publication date: 1980

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761192

zbMATH Keywords

global dimensionKrull dimensiontranscendence degreedivision ringfield of rational functions

Mathematics Subject Classification ID

Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Division rings and semisimple Artin rings (16Kxx)

Related Items (7)

Noncommutative curves and noncommutative surfaces ⋮ Transcendence degree of division algebras. ⋮ Behaviour of krull dimension under extension of the base field ⋮ \textit{LD}-stability for Goldie rings ⋮ On lower transcendence degree ⋮ Dimensions of division rings ⋮ Modules

Cites Work

• Polynomials over division rings
• Transcendental division algebras and simple Noetherian rings
• On the Global Dimension of Some Filtered Algebras
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