Infinitely many reducts of homogeneous structures
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Date
06/2018Metadata
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Abstract
This work is dedicated to Tamás E. Schmidt. It is shown that the countably infinite dimensional pointed vector space (the vector space equipped with a constant) over a finite field has infinitely many first order definable reducts. This implies that the countable homogeneous Boolean-algebra has infinitely many reducts.
Citation
Bodor , B , Cameron , P J & Szabó , C 2018 , ' Infinitely many reducts of homogeneous structures ' , Algebra Universalis , vol. 79 , 43 . https://doi.org/10.1007/s00012-018-0526-8
Publication
Algebra Universalis
Status
Peer reviewed
ISSN
0002-5240Type
Journal article
Rights
© 2018 Springer International Publishing AG, part of Springer Nature. This work has been made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1007/s00012-018-0526-8
Description
Funding: National Research, Development and Innovation Fund of Hungary, financed under the FK 124814 funding scheme (second author).Collections
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