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Anelli di frazioni fortemente valutativi

Laura Toti Rigatelli — 1974

Rendiconti del Seminario Matematico della Università di Padova

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" $\rho:A\times(A-\{0\})\to A$ , with the same nice properties as the positive remainder of the euclidean division in the ring of integers.

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