In this paper, we characterize the classification of simple maps from the plane to the plane given by J. H. Rieger, in terms of invariants. On the basis of this characterization we present an algorithm to classify the simple maps from the plane to the plane and also give its implementation in computer algebra system SINGULAR.
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MIT, 77 Massachusetts Ave 2-267, Cambridge, MA 02139 USAMIT, 77 Massachusetts Ave 2-267, Cambridge, MA 02139 USA
Lawrie, Andrew
Oh, Sung-Jin
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KIAS, 85 Hoegiro, Seoul 02455, South KoreaMIT, 77 Massachusetts Ave 2-267, Cambridge, MA 02139 USA
Oh, Sung-Jin
Shahshahani, Sohrab
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Univ Massachusetts, Dept Math & Stat, Lederle Grad Res Tower,710 N Pleasant St, Amherst, MA 01003 USAMIT, 77 Massachusetts Ave 2-267, Cambridge, MA 02139 USA