English

The free algebra in R

Symbolic Computation 2022-11-09 v1

Abstract

The free algebra is an interesting and useful algebraic object. Here I introduce "freealg", an R package which furnishes computational support for free algebras. The package uses the standard template library's "map" class for efficiency, which uses the fact that the order of the terms is algebraically immaterial. The package follows "disordR" discipline. I demonstrate some properties of free algebra using the package, and showcase package idiom. The package is available on CRAN at https://CRAN.R-project.org/package=freealg.

Cite

@article{arxiv.2211.04002,
  title  = {The free algebra in R},
  author = {Robin K. S. Hankin},
  journal= {arXiv preprint arXiv:2211.04002},
  year   = {2022}
}

Comments

5 pages

R2 v1 2026-06-28T05:23:43.281Z