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Residual finiteness and ‘free’ distributively generated near-rings

Published online by Cambridge University Press:  09 April 2009

David J. John
David J. John
Affiliation:
Department of Mathematics and Computer Science Valdosta State CollegeValdosta Georgia 31601, U.S.A.
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Abstract

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Let V be a variety of groups in which the free group is residually finite, and let S be a residually finite semigroup. Let Nv(S) be the ‘free’ distributively generated near-ring constructed from S and V. Theorem; Nv(S) is residually finite.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 4 , December 1979 , pp. 398 - 400
Copyright
Copyright © Australian Mathematical Society 1979

References

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