The pointwise-local-global principle for solutions of generic linear equations

DOI10.1016/0024-3795(85)90124-7zbMath0565.15002OpenAlexW2066039283MaRDI QIDQ1058568

William A. Adkins

Publication date: 1985

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90124-7

zbMATH Keywords

maximal ideallocal ringslocalizationpolynomial ringsrings of holomorphic functions

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Noncommutative local and semilocal rings, perfect rings (16L30) Matrices over function rings in one or more variables (15A54) Linear equations (linear algebraic aspects) (15A06)

Cites Work

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• On holomorphically similar matrices
• A note on the local-global principle for similarity of matrices
• Similarity of matrices over local rings
• Matrices similar on a Zariski-open set
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• On families of systems: pointwise-local-global isomorphism problems†
• A Generalized Koszul Complex. II. Depth and Multiplicity
• SOME REMARKS ON THE THEORY OF IDEALS DEFINED BY MATRICES

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