Geodesic
Point derivations on algebraic extension of Banach algebra
Lobachevskii journal of mathematics, Tome 6 (2000), pp. 33-37.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that a point $y_0$ in the carrier space of algebraic extension $B$ of commutative Banach algebra $A$ is a branch point if and only if there exists a local point derivation on $B$ at $y_0$, whose kernel contains $A$. 
@article{LJM_2000_6_a2,
     author = {B. T. Batikyan},
     title = {Point derivations on algebraic extension of {Banach} algebra},
     journal = {Lobachevskii journal of mathematics},
     pages = {33--37},
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     volume = {6},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2000_6_a2/}
}
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B. T. Batikyan. Point derivations on algebraic extension of Banach algebra. Lobachevskii journal of mathematics, Tome 6 (2000), pp. 33-37. http://geodesic.mathdoc.fr/item/LJM_2000_6_a2/