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arxiv: 0712.0068 · v2 · pith:RXCQTTSNnew · submitted 2007-12-01 · 🧮 math.AC

Janet's Algorithm

classification 🧮 math.AC
keywords algorithmjanetdecompositiongivesidealmonomialsquarefreestanley
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We have introduced the Janet's algorithm for the Stanley decomposition of a monomial ideal I in a polynomial ring S = K[x_1,...,x_n] and prove that Janet's algorithm gives the squarefree Stanley decomposition of S/I for a squarefree monomial ideal I. We have also shown that the Janet's algorithm gives a partition of a simplicial complex.

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