Hostname: page-component-848d4c4894-wzw2p Total loading time: 0 Render date: 2024-05-06T21:02:00.496Z Has data issue: false hasContentIssue false

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
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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