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A theorem on nilpotency in near-rings

Published online by Cambridge University Press:  20 January 2009

S. D. Scott
S. D. Scott
Affiliation:
10 Beacon Ave., Campbells Bay, Auckland, New Zealand.
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Throughout this paper a near-ring N will satisfy the distributive law α(β + γ)=αβ + αγ for all α, β and γ in N. We shall also assume that 0α = 0 for all α in N

We prove the following theorem.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 21 , Issue 1 , March 1978 , pp. 87 - 88
Copyright
Copyright © Edinburgh Mathematical Society 1978

References

REFERENCES

(1) Ramakotaiah, D., Theory of near-rings, (Ph.D. dissertation, Andhra University, 1968).Google Scholar
(2) Ramakotaiah, D., Radicals for near-rings, Math. Z. 97 (1967), 45–56.Google Scholar