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Tame near-rings and N-groups

Published online by Cambridge University Press:  20 January 2009

S. D. Scott
Affiliation:
Department of MathematicsUniversity of AucklandNew Zealand
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Throughout this paper any near-ring N will be left distributive, zero symmetric and have an identity. Furthermore, all N-groups will be unitary. All groups considered will be written additively. This does not imply commutativity.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1980

References

REFERENCES

(1)Beidleman, J. C., On the Theory of Radicals in d.g. near-rings II, Math. Ann. 173 (1967), 200218.CrossRefGoogle Scholar
(2)Curtis, and Reiner, , Representation Theory of Finite Groups and Associative Algebras (Interscience Publishers, New York, 1966).Google Scholar
(3)Drvinsky, N. J., Rings and Radicals (George Allen and Unwin Ltd, London, 1965).Google Scholar
(4)Lausch, and Nöbaur, , Algebra of Polynomials (North-Holland, Amsterdam, 1973).Google Scholar
(5)Nöbaur, W., Funktionen auf kommutativen Ringen, Math. Ann. 147 (1962), 166175.CrossRefGoogle Scholar
(6)Pilz, G., Near-rings (North-Holland, Amsterdam, 1977).Google Scholar
(7)Scott, S. D., Near-rings and near-ring modules (Doctoral dissertation, Australian National University, 1970).Google Scholar