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math.AC2013
Non-complete intersection prime ideals in dimension 3
Shiro Goto, Liam O'Carroll, Francesc Planas-Vilanova
We describe prime ideals of height 2 minimally generated by 3 elements in a Gorenstein, Nagata local ring of Krull dimension 3 and multiplicity at most 3. This subject is related t…
math.AC2013★ 1 cited
Degree and algebraic properties of lattice and matrix ideals
Liam O'Carroll, Francesc Planas-Vilanova, Rafael H. Villarreal
We study the degree of non-homogeneous lattice ideals over arbitrary fields, and give formulae to compute the degree in terms of the torsion of certain factor groups of Z^s and in…