Abstract
Let $K$ be an algebraically closed field, complete for a non-trivial ultrametric absolute value. We denote by $A$ the $K$- Banach algebra of bounded analytic functions in the unit disk $\{x\in K \mid \vert x\vert<1\}$. We study some properties of ideals of $A$. We show that maximal ideals of infinite codimension are not of finite type and that $A$ is not a Bezout ring.
Citation
Alain Escassut. Nicolas Maïnetti. "On Ideals of the Algebra of $p$-adic Bounded Analytic Functions on a Disk." Bull. Belg. Math. Soc. Simon Stevin 14 (5) 871 - 876, December 2007. https://doi.org/10.36045/bbms/1197908900
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