Geodesic
Closed ideals with the nulldimensional root set in certain rings of holomorphic functions
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part V, Tome 47 (1974), pp. 55-66 Cet article a éte moissonné depuis la source Math-Net.Ru

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Closed ideals $J$ with null-dimensional set of roots are considered in some rings $H$ of functions holomorphic in a pseudoconvex domain $\Omega\subseteq\mathbb C^n$. It is proved (under additional assumptions) that $J$ coincides with the set of functions $f\in H$ with the germs (in all points $z\in\Omega$) are generated over the rings of series convergent at $z$ by the germs of elements of $J$. 
@article{ZNSL_1974_47_a2,
     author = {D. I. Gurevich},
     title = {Closed ideals with the nulldimensional root set in certain rings of holomorphic functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {55--66},
     year = {1974},
     volume = {47},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1974_47_a2/}
}
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%T Closed ideals with the nulldimensional root set in certain rings of holomorphic functions
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D. I. Gurevich. Closed ideals with the nulldimensional root set in certain rings of holomorphic functions. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part V, Tome 47 (1974), pp. 55-66. http://geodesic.mathdoc.fr/item/ZNSL_1974_47_a2/