Abstract:We study commutative algebra arising from generalised Frobenius numbers. The k-th (generalised) Frobenius number of relatively prime natural numbers (a 1 , . . . , a n ) is the largest natural number that cannot be written as a non-negative integral combination of (a 1 , . . . , a n ) in k distinct ways. Suppose that L is the lattice of integer points of (a 1 , . . . , a n ) ⊥ . Taking cue from the concept of lattice modules due to Bayer and Sturmfels, we define generalised lattice modules M (k) L whose Castel… Show more
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