Hyperoperations in exponential fields
Commutative Algebra
2021-05-28 v2 Number Theory
Rings and Algebras
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.
Cite
@article{arxiv.2012.04093,
title = {Hyperoperations in exponential fields},
author = {Juan Diego Jaramillo},
journal= {arXiv preprint arXiv:2012.04093},
year = {2021}
}
Comments
25 pages. Some sections where removed. New sections added. Typos corrected