Small regular local Noether lattices. I
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 minimal primes, then it is isomorphic to , the lattice of the lattice of ideals of generated by the principal ideals and under join and multiplication.
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Keywords: Noether lattice, local Noether lattice, regular local Noether lattice, Noether lattice imbedding, unique factorization
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