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On boolean near-rings

Published online by Cambridge University Press:  17 April 2009

Steve Ligh
Steve Ligh
Affiliation:
University of Florida, Gainesville, Florida.
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Abstract

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It is well-known that a boolean ring is commutative. In this note we show that a distributively generated boolean near-ring is multiplicatively commutative, and therefore a ring. This is accomplished by using subdirect sum representations of near-rings.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 1 , Issue 3 , December 1969 , pp. 375 - 379
Copyright
Copyright © Australian Mathematical Society 1969

References

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