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Paper IPM / M / 17374  


Abstract:  
Let S = K[x_1, . . . , x_n] the polynomial ring over a field K. In this paper for some families of monomial ideals I Ã¢?? S we study the minimal number of generators of I^k. We use this results to find some other Betti numbers of these families of ideals for special choices of n, the number of variables.
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