Bisymmetric and quasitrivial operations: characterizations and enumerations
Rings and Algebras
2018-01-20 v2 Discrete Mathematics
Combinatorics
Abstract
We investigate the class of bisymmetric and quasitrivial binary operations on a given set and provide various characterizations of this class as well as the subclass of bisymmetric, quasitrivial, and order-preserving binary operations. We also determine explicitly the sizes of these classes when the set is finite.
Cite
@article{arxiv.1712.07856,
title = {Bisymmetric and quasitrivial operations: characterizations and enumerations},
author = {Jimmy Devillet},
journal= {arXiv preprint arXiv:1712.07856},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1709.09162