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Non-dyadic Laver algebras

  • Juan P. Aguilera
  • Martina Iannella
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Abstract

We study finite Laver algebras, the generalizations of Laver tables on sets of cardinality not of the form 2n. We characterize the conditions under which projections and embeddings between Laver algebras exist and show that there are 2ℵ0 pairwise non-isomorphic direct limits of finite Laver algebras.

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Cite

BibTeXRIS
BibTeX
@misc{aguilera2026nondyadic,
  title = {{Non-dyadic Laver algebras}},
  author = {Juan P. Aguilera and Martina Iannella},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.06106},
  eprint = {2610.06106},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.06106},
}
RIS
TY  - UNPB
TI  - Non-dyadic Laver algebras
AU  - Juan P. Aguilera
AU  - Martina Iannella
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.06106
UR  - https://arxiv.org/abs/2610.06106
AB  - We study finite Laver algebras, the generalizations of Laver tables on sets of cardinality not of the form 2^n. We characterize the conditions under which projections and embeddings between Laver algebras exist and show that there are 2^ℵ_0 pairwise non-isomorphic direct limits of finite Laver algebras.
ER  -