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Centres for near-rings: applications to commutativity theorems

Published online by Cambridge University Press:  20 January 2009

Howard E. Bell
Howard E. Bell
Affiliation:
Mathematics DepartmentBrock UniversitySt. Catharines, Ontario, Canada
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Let R be an arbitrary near-ring and define the multiplicative centre Z(R) by

In previous papers (2,3,5) we have established additive or multiplicative commutativity for various near-rings R in which selected elements were restricted to lie in Z(R); the near-rings involved were usually distributively-generated (d-g) and were frequently assumed to have a multiplicative identity element as well.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 23 , Issue 1 , February 1980 , pp. 61 - 67
Copyright
Copyright © Edinburgh Mathematical Society 1980

References

REFERENCES

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