Abstract
Let $\rm I\!E$ be a complete ultrametric space, let $\rm I\!E$ be a perfect complete ultrametric field and let $A$ be a Banach $\rm I\!E$-algebra which is either a full $\rm I\!E$-subalgebra of the algebra of continuous functions from $\rm I\!E$ to $\rm I\!E$ owning all characteristic functions of clopens of $\rm I\!E$, or a full $\rm I\!E$-subalgebra of the algebra of uniformly continuous functions from $\rm I\!E$ to $\rm I\!E$ owning all characteristic functions of uniformly open subsets of $\rm I\!E$. We prove that all maximal ideals of finite codimension of $A$ are of codimension $1$.
Citation
Monique Chicourrat. Bertin Diarra. Alain Escassut. "Finite codimensional maximal ideals in subalgebras of ultrametric uniformly continuous functions." Bull. Belg. Math. Soc. Simon Stevin 26 (3) 413 - 420, september 2019. https://doi.org/10.36045/bbms/1568685655
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