A note on a theorem of I.S. Cohen
Batho, Edward H. (1959)
Portugaliae mathematica
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Displaying similar documents to “Solving power series equations. II. Change of ground field”
A note on a theorem of I.S. Cohen
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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.