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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Elementary extensions of linear topological abelian groups


Authors: R. G. Phillips and P. L. Sperry
Journal: Proc. Amer. Math. Soc. 31 (1972), 525-528
DOI: https://doi.org/10.1090/S0002-9939-1972-0288212-4
MathSciNet review: 0288212
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Abstract: R. MacDowell and E. Specker obtain a structure theorem for elementary extensions of the integers by considering a certain residue mapping. In this paper we characterize those abelian groups in which an analogous situation exists and obtain the MacDowell-Specker result as a special case of our theory.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0288212-4
Keywords: Elementary extension, linear topological abelian group, completion
Article copyright: © Copyright 1972 American Mathematical Society

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