Extensions contained in ideals

Kucerovsky, Dan

doi:10.1090/S0002-9947-03-03297-5

Extensions contained in ideals
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by Dan Kucerovsky

Trans. Amer. Math. Soc. 356 (2004), 1025-1043

DOI: https://doi.org/10.1090/S0002-9947-03-03297-5

Published electronically: August 25, 2003

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Abstract:

We prove a Weyl-von Neumann type absorption theorem for extensions which are not full, and give a condition for constructing infinite repeats contained in an ideal. We also clear up some questions associated with the purely large criterion for full extensions to be absorbing.

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