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Ideals of denominators in the disk‐algebra
Author(s) -
Mortini Raymond,
Sasane Amol
Publication year - 2009
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdp057
Subject(s) - mathematics , rank (graph theory) , factorization , algebra over a field , bass (fish) , pure mathematics , combinatorics , algorithm , ecology , biology
We show that there do not exist finitely generated, non‐principal ideals of denominators in the disk‐algebra A (). Our proof involves a new factorization theorem for A () that is based on Treil's determination of the Bass stable rank for H ∞ .
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