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Un'osservazione sugli anelli euclidei generalizzati

Laura Toti-Rigatelli — 1973

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

We show that if A is a euclidean ring (in the generalized sense, see Samuel [2]), then one can choose a "remainder function" ρ : A × ( A - { 0 } ) A , with the same nice properties as the positive remainder of the euclidean division in the ring of integers.

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