Subalgebras of finite codimension
Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 321-328
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We consider a commutative algebra $A$ over a field $K$ whose algebraic closure is a finite extension of $K$, and describe the subalgebras of $A$ that are of finite codimension. We solve a similar problem for the closed subalgebras of Banach algebras