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On localizing orderable modules

Published online by Cambridge University Press:  09 April 2009

Colin D. Fox
Colin D. Fox
Affiliation:
Department of Mathematics La Trobe UniversityBundoora, Victoria 3083Australia
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Abstract

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If A is a T-orderable R-module and S is a multiplicative subsemigroup of R, each s∈S acting as a monomorphism of A, then it is possible sometimes A in a T-orderable R-module on which each s∈S as an automorphism. We show that such an embedding does not always exist and, by generalizing a theorem of Kokorin and Kopytov, provide a partial answer to the question “when is such an embedding possible?”

Subject classification (Amer. Math. Soc. (MOS) 1970): 06 A 70, 16 A 08, 16 A 64.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 1 , August 1978 , pp. 59 - 64
Copyright
Copyright © Australian Mathematical Society 1978

References

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