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Involution near-rings

Published online by Cambridge University Press:  20 January 2009

S. D. Scott
S. D. Scott
Affiliation:
Department of Mathematics, University of Auckland, Auckland, New Zealand.
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Throughout this paper all near-rings considered will be zero-symmetric and left distributive. All groups will be written additively, but this does not imply commutativity. The near-ring of all zero-fixing maps of a group V into itself will be denoted by Mo(V). If N is a near-ring withan identity and α ≠ 1 is an element of N such that α2 = 1, then α will be called an involution of N. Let V be a group. An involution a of Mo(V) will be called an involution on V.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 22 , Issue 3 , October 1979 , pp. 241 - 245
Copyright
Copyright © Edinburgh Mathematical Society 1979

References

REFERENCES

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