J. M. Almira, L. Székelyhidi
Published 2014-04-01Version 1
In this paper some classes of local polynomial functions on abelian groups are characterized by the properties of their variety. For this characterization we introduce a numerical quantity depending on the variety of the local polynomial only. Moreover, we show that the known characterization of polynomials among generalized polynomials can be simplified: a generalized polynomial is a polynomial if and only if its variety contains finitely many linearly independent additive functions.
Comments: 7 pages, submitted to a Journal. arXiv admin note: text overlap with arXiv:1403.4486
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