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The hulls of semiprime rings

Published online by Cambridge University Press:  17 April 2009

Paul F. Conrad
Paul F. Conrad
Affiliation:
Department of Mathematics, University of Kansas, Lawrence, Kansas, USA.
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Abstract

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Each semiprime ring admits a unique projectable, strongly projectable, laterally complete and orthocomplete hull. Almost all of the theory for X–hulls of lattice-ordered groups in Paul Conrad, “The hulls of representable l-groups and f-rings”, J. Austral. Math. Soc. 16 (1973), 385–415, has a counterpart for semiprime rings. The proofs of these results will appear elsewhere. They come in a large part directly from the corresponding theory for lattice-ordered groups. There is also a feedback from the rings to the groups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 12 , Issue 2 , April 1975 , pp. 311 - 314
Copyright
Copyright © Australian Mathematical Society 1975

References

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