A note on a theorem of I.S. Cohen
Batho, Edward H. (1959)
Portugaliae mathematica
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Batho, Edward H. (1959)
Portugaliae mathematica
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Matthew J. O'Malley (1971)
Bulletin de la Société Mathématique de France
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F. Baldassarri (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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H. Zakeri (1994)
Colloquium Mathematicae
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R. Brooks (1964)
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F. J.-B. J. Clauwens (1988)
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Annales de l'institut Fourier
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This is a sequel to “Relations among analytic functions I”, , , fasc. 1, [pp. 187-239]. We reduce to semicontinuity of local invariants the problem of finding solutions to systems of equations involving division and composition by analytic functions. We prove semicontinuity in several general cases : in the algebraic category, for “regular” mappings, and for module homomorphisms over a finite mapping.