Abstract

In a recent paper the author has discussed the structure of regular local Noether lattices. In this paper it is proved that if a regular local Noether lattice has precisely $3$ minimal primes, then it is isomorphic to $R{L_3}$, the lattice of the lattice of ideals of $F[{x_1},{x_2},{x_3}]$ generated by the principal ideals $({x_1}),({x_2})$ and $({x_3})$ under join and multiplication.

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