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Products of idempotents in regular rings

Published online by Cambridge University Press:  18 May 2009

K. C. O'Meara
K. C. O'Meara
Affiliation:
Department of Mathematics, University of Canterbury, Christchurch, New Zealand
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The problem of describing the subsemigroup generated by the idempotents in various natural semigroups has received the attention of several semigroup theorists ([1], [2], [3], [5], [7]). However, in those cases where the parent semigroup is in fact the multiplicative semigroup of a natural ring, the known ring structure has not been exploited. When this ring structure is taken into account, proofs can often be streamlined and can lead to more general arguments (such as not requiring that the elements of the semigroup be already transformations of some known structure).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 28 , Issue 2 , July 1986 , pp. 143 - 152
Copyright
Copyright © Glasgow Mathematical Journal Trust 1986

References

REFERENCES

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