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Some factorable nil rings of characteristic two*

Published online by Cambridge University Press:  14 November 2011

J. Duncan  and
I. D. Macdonald
J. Duncan
Affiliation:
Department of Mathematics, University of Stirling
I. D. Macdonald
Affiliation:
Department of Mathematics, University of Stirling
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Extract

It is shown that there exists an uncountable number of rings R with the properties (1) if r∈R then 2r = 0 and r2 = 0, (2) if r ∈ R then there exist s, t in R with r = st.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 82 , Issue 3-4 , 1979 , pp. 193 - 199
Copyright
Copyright © Royal Society of Edinburgh 1979

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References

1Cresp, J. and Sullivan, R. P., Semigroups in rings. J. Austral. Math. Soc. Ser. A 20 (1975), 172–177.CrossRefGoogle Scholar
2Sullivan, R.P.. Research problem 23. Period. Math. Hungar. 8 (1977), 313–314.Google Scholar