Some conditions which force Euclidean nearrings to be rings

• Autorzy: Magill, K.
• Języki publikacji: EN

Słowa kluczowe

PL

pierścienie; pierścień Euklidesa

EN

rings; Euclidean nearrings

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 1
• Strony: 51-58
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Magill, K.

• 106 Diefiendorf Hall Suny At Buffalo Buffalo, NY 14214, USA,

Bibliografia

• [1] J. R. Clay, Nearrings: Geneses and Applications, Oxford University Press, New York, 1992.
• [2] G. A. Heuer, Continuous multiplications in R2 , Math. Mag., 45 (1972) 72-77.
• [3] K. D. Magill, Jr., Topological nearrings whose additive groups are Euclidean, Monat, für Math., 119 (1995) 281-301.
• [4] K. D. Magill, Jr., Two dimensional nonassociative Euclidean nearrings and the ring of hyperbolic numbers, Pub. Math. Debrecen 50, 3-4, (1997) 359-364
• [5] K. D. Magill , Jr., The topological near-ring on the Euclidean plane which has a left identity which is not a right identity, Semigroup Forum, 57 (1998) 435-437.
• [6] K. D. Magill , Jr., Euclidean nearrings with a left identity and a non-zero nilpotent element, Algebra Colloq. 6:2 (1999) 133-143.
• [7] J. D. P. Meldrum , Near-rings and their Links with Groups, Pitman Research Notes, No. 134, London, 1985.
• [8] G. Pilz, Near-Rings, North Holland Math. Studies, 23, Revised ed., Amsterdam, 1983.
• [9] G. Sobczyk , The hyperbolic number plane, The College Math. J., 26, no. 4 (1995) 268-280.