Abstract
Let n1,n2,n3 be positive integers with gcd(n1,n2,n3)=1. For S=〈n1,n2,n3〉 nonsymmetric, we give an alternative description, using elementary techniques, of a minimal presentation of its homogenization S=〈(1,0),(1,n1),(1,n2),(1,n3)〉. As a consequence, we show that this minimal presentation is unique. We recover Bresinsky’s characterization of the Cohen–Macaulay property of S and present a procedure to compute all possible catenary degrees of the elements of S.
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