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Nilpotent subsets of near-rings with minimal condition
Published online by Cambridge University Press: 20 January 2009
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Throughout this paper all near-rings will be zero-symmetric and left distributive. A near-ring with minimal condition on right N-subgroups will be called an near-ring. It is well known (see (1), 3.40, p. 90)) that a nil right N-subgroup of an near-ring is nilpotent. However, in a deeper study of near-rings a stronger result than this is sometimes required (2, p. 77).
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 23 , Issue 3 , October 1980 , pp. 297 - 299
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- Copyright © Edinburgh Mathematical Society 1980
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