Geodesic
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 
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     author = {E. A. Gorin},
     title = {Subalgebras of finite codimension},
     journal = {Matemati\v{c}eskie zametki},
     pages = {321--328},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a8/}
}
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E. A. Gorin. Subalgebras of finite codimension. Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 321-328. http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a8/