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Strongly regular near-rings

Published online by Cambridge University Press:  20 January 2009

Gordon Mason
Affiliation:
University of New BrunswickFredericton, N.B., Canada
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A strongly regular ring R is one in which for all xR, there is an aR with x = x2a. Equivalently, for all x there is an a with x = ax2. Such a ring is regular, duo, biregular, and a left and right V-ring. Moreover since R is reduced, all nilpotent elements are central (vacuously) and so all idempotent elements are central.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1980

References

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