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A very rigid Boolean algebra

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Abstract

A Boolean algebra is constructed having only those endomorphisms corresponding to prime ideals, which are present in any BA. The BA constructed is of powerc, has 2c endomorphisms, and is not rigid in Bonnet’s sense.

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References

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Author notes

  1. J. Donald Monk

    Present address: University of Colorado, Boulder, Colorado, USA

Authors and Affiliations

  1. Forschungsinsttiut für Mathematik, Eidgenössische Technische Hochschule, Zürich, Switzerland

    J. Donald Monk

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  1. J. Donald Monk
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Additional information

The author gratefully acknowledges partial support by the Forschungsinstitut für Mathematik, Eidgenössische Technische Hochschule, Zürich.

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Monk, J.D. A very rigid Boolean algebra. Israel J. Math. 35, 135–150 (1980). https://doi.org/10.1007/BF02760942

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  • DOI: https://doi.org/10.1007/BF02760942

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