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A note on commutative Baer rings III

Published online by Cambridge University Press:  09 April 2009

T. P. Speed
T. P. Speed
Affiliation:
Department of Probability and Statistics The University SheffieldS10 30DU. K.
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If R is a commutative semiprime ring with identity Kist [4], [5] has shown that R can be embedded into a commutative Baer ring B(R), and has given some properties of this embedding. More recently Mewborn [7] has given a construction which embeds R into a commutative Baer ring with the stronger property that every annihilator is generated by an idempotent. Both of these constructions involve a representation of R as a ring of global sections of a sheaf over a Boolean space.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 15 , Issue 1 , February 1973 , pp. 15 - 21
Copyright
Copyright © Australian Mathematical Society 1973

References

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[10]Speed, T. P., ‘A note on commutative Baer rings II’, J. Aust. Math. Soc. 14 (1972), 257–263.CrossRefGoogle Scholar