Hyperoperations in exponential fields
Abstract
New sequences of hyperoperations \cite{BE15,HI26,ACK28,GO47,TAR69} are presented together with their local algebraic properties. The commutative hyperoperations reported by Bennet \cite{BE15} are presented as a sequence of monoids. After identifying the semirings along the sequence, the corresponding fields are constructed via inverse completion.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2020
- DOI:
- 10.48550/arXiv.2012.04093
- arXiv:
- arXiv:2012.04093
- Bibcode:
- 2020arXiv201204093J
- Keywords:
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- Mathematics - Commutative Algebra;
- Mathematics - Number Theory;
- Mathematics - Rings and Algebras
- E-Print:
- 25 pages. Some sections where removed. New sections added. Typos corrected