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DOI: 10.23671/VNC.2016.2.7385

Local description of entire functions. Submodules of rank 1

Volkovaya T. A. , Shishkin, A. B.
Vladikavkaz Mathematical Journal 2014. Vol. 16. Issue 2.
Abstract:
Submodule in the module of entire functions is called ample, if this submodule coincides with its local hull. Ampleness splits in three separate properties: intensity, stability and saturation. In the article submodules of entire functions are investigated for the presence of these properties. Particular attention is paid to submodules of rank 1
Keywords: submodules of entire functions, local submodules, local shell, local description, ampleness, intensity, stability, saturation, criterion of ampleness
Language: Russian Download the full text  
For citation: Volkovaya T. A., Shishkin A. B. Local description of entire functions. Submodules of rank 1. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 16, no. 2, pp.14-28. DOI 10.23671/VNC.2016.2.7385
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