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A survey of clones on infinite sets

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Abstract.

We summarize what we know about the clone lattice on an infinite set and formulate what we consider the most important open problems.

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Authors and Affiliations

  1. Algebra, TU Wien, Wiedner Hauptstraße 8-10/104, A-1040, Wien, Austria

    Martin Goldstern & Michael Pinsker

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  1. Martin Goldstern
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  2. Michael Pinsker
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Correspondence to Martin Goldstern.

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Dedicated to George Grätzer and E. Tamás Schmidt on their 70th birthdays

Received January 3, 2007; accepted in final form November 7, 2007.

The first author is grateful for support through grant P17627-N12 of the Austrian Science Foun- dation (FWF); the second author is grateful for support through grant P17812 of the Austrian Science Foundation (FWF).

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Goldstern, M., Pinsker, M. A survey of clones on infinite sets. Algebra univers. 59, 365–403 (2008). https://doi.org/10.1007/s00012-008-2100-2

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  • DOI: https://doi.org/10.1007/s00012-008-2100-2

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