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Zero Sets of Generators and Differential Ideals
Author(s) -
Abanin Alexander V.,
Shabarshina Irina S.
Publication year - 2002
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200205)238:1<5::aid-mana5>3.0.co;2-d
Subject(s) - mathematics , zero (linguistics) , characterization (materials science) , moduli , pure mathematics , ring (chemistry) , differential (mechanical device) , finitely generated abelian group , mathematical analysis , philosophy , linguistics , materials science , physics , chemistry , organic chemistry , quantum mechanics , aerospace engineering , engineering , nanotechnology
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.