A EUCLIDEAN RING CONTAINING Z[p14]

نویسنده

  • DAVID A. CARDON
چکیده

English We show that the ring Z p 14; 1=2] is Euclidean and that this ring admits a totally multiplicative Euclidean function. This example is interesting because it is related to the ring Z p 14] which is conjectured to be Euclidean but for which a proof is lacking. French Nous montrons que l'anneau Z p 14; 1=2] est euclidien et que cet an-neau admet une fonction euclidienne totalement multiplicative. Cet ex-emple est int eressant car il est reli e a l'anneau Z p 14], qui est conjectur e ^ etre euclidien.

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تاریخ انتشار 1997