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Automorphism groups of laminated near-rings determined by complex polynomials

Published online by Cambridge University Press:  20 January 2009

K. D. Magill Jr ,
P. R. Misra  and
U. B. Tewari
K. D. Magill Jr
Affiliation:
State University of New York at Buffalo, Iit Kanpur India
P. R. Misra
Affiliation:
State University of New York at Buffalo, Iit Kanpur India
U. B. Tewari
Affiliation:
Universidade Estadual de Campinas
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The concept of a laminated near-ring was introduced in [2]. We recall briefly what it is. Let N be a near-ring and let a∈N. Define a new multiplication on N by x * y = xay for all x,y∈N. With this new multiplication and the same addition as before we have another near-ring which we denote by Na. The near-ring Na is referred to as a laminated near-ring, the original near-ring N is the base near-ring and a is the laminator or laminating element.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 26 , Issue 1 , February 1983 , pp. 73 - 84
Copyright
Copyright © Edinburgh Mathematical Society 1983

References

REFERENCES

1.Magill, K. D. JR., Semigroups and near-rings of continuous functions, General Topology and its Relations to Modern Analysis and Algebra, II, Proc. Third Prague Top. Symp., 1971 (Academia, 1972), 283–288.Google Scholar
2.Magill, K. D. JR., Automorphisms of laminated near-rings, Proc. Edinburgh Math. Soc. 23 (1980), 97–102.CrossRefGoogle Scholar