On euclidean rings

Authors

  • Ahmet Goksel Agargun Yildiz Technical University.

DOI:

https://doi.org/10.22199/S07160917.1997.0001.00003

Abstract

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

Author Biography

Ahmet Goksel Agargun, Yildiz Technical University.

Fen. Ed. Fakultesi Matematik Bolumu.

References

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[ 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).

Published

2018-04-04

How to Cite

[1]
A. Goksel Agargun, “On euclidean rings”, Proyecciones (Antofagasta, On line), vol. 16, no. 1, pp. 23-36, Apr. 2018.

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