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IFP near-rings

Published online by Cambridge University Press:  09 April 2009

D. Ramakotaiah
Affiliation:
Department of Mathematics Nagarjuna UniversityNagarjunanagar 522 510 Guntur (A.P), India
G. Koteswara Rao
Affiliation:
Department of Mathematics Nagarjuna UniversityNagarjunanagar 522 510 Guntur (A.P), India
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Abstract

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The set of all nilpotent elements in an IFP near-ring is characterized and necessary and sufficient conditions for the set of all nilpotent elements of an IFP near-ring to form an ideal are obtained.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1979

References

Bell, H. E. (1970), ‘Near-rings in which each element is a power of itself’, Bull. Austral. Math. Soc. 2, 363368.CrossRefGoogle Scholar
Bell, H. E. (1971), ‘Certain near-rings are rings’, J. London Math. Soc. II, Ser. 4, 264270.CrossRefGoogle Scholar
Ligh, S. (1970), ‘On regular near-rings’, Math. Japan. 15, 713.Google Scholar
Ligh, S. (1970), ‘On the commutativity of near-rings, I’, Kyungpook Math. J. 10, 105106.Google Scholar
Ligh, S. (1971), ‘On the commutativity of near-rings, II’, Kyungpook Math. J. 11, 159163.Google Scholar
Ligh, S. (1972), ‘On the commutativity of near-rings, III’, Bull. Austral. Math. Soc. 6, 459464.Google Scholar
Pilz, G. (1977), Near-rings (North-Holland, Amsterdam).Google Scholar
Ramakotaiah, D. (1967), ‘Radicals for near-rings’, Math. Z. 97, 4546.CrossRefGoogle Scholar