Stable rank of finitely generated algebras

DOI10.1007/BF01190264zbMath0683.46042MaRDI QIDQ1824828

Rudolf Rupp

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

function algebrassingly generated algebrasupper bound for the stable rank of finitely generated, complex (F)- algebras

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Commutative Banach algebras and commutative topological algebras (46J99)

Related Items (5)

Real-symmetric extensions of invertible tuples of multivariable continuous functions ⋮ The covering dimension of a distinguished subset of the spectrum \(M(H^\infty)\) of \(H^\infty\) and the algebra of real-symmetric and continuous functions on \(M(H^\infty)\) ⋮ A note on some uniform algebra generated by smooth functions in the plane ⋮ Bass and topological stable ranks of complex and real algebras of measures, functions and sequences ⋮ The Bass stable rank for the real Banach algebra \(A(K)_{\text{sym}}\)

Cites Work

• Unnamed Item
• Extension problems and stable rank in commutative Banach algebras
• Stable rank in holomorphic function algebras
• Stable rank of rings and dimensionality of topological spaces
• \(K\)-theory and stable algebra
• Stable Rank of Subalgebras of the Ball Algebras
• Dense Morphisms in Commutative Banach Algebras
• On the spectrum of finitely-generated locally m-convex algebras

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