ARITHMETICAL CHARACTERIZATION OF CLASS GROUPS OF THE FORM Z/nZ ⊕ Z/nZ VIA THE SYSTEM OF SETS OF LENGTHS
نویسنده
چکیده
Let H be a Krull monoid with finite class group such that each class contains a prime divisor (e.g., the multiplicative monoid of the ring of algebraic integers of some number field). It is shown that it can be determined whether the class group is of the form Z/nZ ⊕ Z/nZ, for n ≥ 3, just by considering the system of sets of lengths of H.
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