Alexander Vasilievich Abanin, Ирина Сергеевна Шабаршина
Abstract
For weighted rings of entire functions given by systems of weight functions depending on moduli of variables we obtain a characterization of finitely generated ideals coinciding with the whole ring. This characterization is given in terms of zero sets of generators.
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For weighted rings of entire functions given by systems of weight functions depending on moduli of variables we obtain a characterization of finitely generated ideals coinciding with the whole ring. This characterization is given in terms of zero sets of generators.
Key concepts: Mathematics, Zero (linguistics), Characterization (materials science), Moduli, Pure mathematics, Ring (chemistry), Differential (mechanical device), Finitely-generated abelian group