On euclidean rings

• Goksel Agargun, Ahmet ^[1]
  1. [1] Yıldız Technical University

     Yıldız Technical University

     Turquía

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 16, Nº. 1, 1997, págs. 23-36
• Idioma: inglés
• DOI: 10.22199/S07160917.1997.0001.00003
• Enlaces
  • Texto completo
• Resumen

  • In this article we extend the concept of Euclidean rings and Motzkin's work to commutative rings (not necessarily with an identity).

• Referencias bibliográficas
  • Citas [ 1 ] Agargun, A.G., and Fletcher, C.R., " Euclidean rings", Doa Tr. J. Math .. 19. pp. 291- 399, (1995).
  • [ 2 ] Amano, K., , “A note on Euclidean ring", Bull. Fac:. Gen. Ed. Gifu Univ .. No.20. pp. 13- 15, (1985).
  • [ 3 ] Fletcher, C.R .. "Euclidean rings". J. London Math. Soc:., (2), 4, 79-82, (1971 ) .
  • [ 4 ] Hiblot. .J . .J .. “Des anneaux euclidiens dont le plus petit algorithme n'est pas valeurs finies". Comptes Rendues, 281, srie...
  • [ 5 ] Hiblot. J.J .. " Correction une note sur les anneaux euclidiens", Comptes Rendues.284. srie A-847, (1977).
  • [ 6 ] Kanemitsu. M. and Yoshida, K., ''Euclidean rings", Bull. Fac. Sci., Ibaraki Univ. Math .. No.18. (1986).
  • [ 7] Lenstra. H.W.. Lectures on Euclidean Rings, Bielefeld, Summer (1974).
  • [ 8] Motzkin, T., "The Euclidean algorithm", Bull. Amer. Math. Soc., 55, pp. 1142- 1146, (1949).
  • [ 9 ] Nagata. M.. ''On Euclidean algorithm". Tata Inst. Fund. Res. Studies in Math.. 8. pp. 175- 186. (1978) .
  • [10] Nagata. M.."Some remarks on Euclid rings", J. Math. Kyoto Univ., pp. 25- 3. pp. 421 - 422. (1985).
  • [11] Nagata, M., "On the definition of a Euclidean ring", Advanced Studies in Pure Mathematic:s. 11, pp. 167- 171, (1987).
  • [12] Samuel. P ..”About Euclidean rings'', Journal of Algebra, 19, pp. 282-301. ( 1971).