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On ideals in certain rings of analytical functions. (English. Russian original) Zbl 0845.32018
Russ. Math. 37, No. 10, 76-79 (1993); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1993, No. 10, 77-80 (1993).
The author studies sufficient conditions for an arbitrary analytic function in a domain $$D \subset \mathbb{C}^n$$ to belong to an ideal generated by a certain set of analytic functions in $$D$$. As a consequence of the above study the problem on coincidence of the said ideal with the ring of all analytic functions in $$D$$ is solved.

##### MSC:
 32E99 Holomorphic convexity 32A38 Algebras of holomorphic functions of several complex variables
##### Keywords:
rings of analytic functions