English

Free operated monoids and Rewriting systems

Rings and Algebras 2018-04-13 v1

Abstract

The construction of bases for quotients is an important problem. In this paper, applying the method of rewriting systems, we give a unified approach to construct sections---an alternative name for bases in semigroup theory---for quotients of free operated monoids. As applications, we capture sections of free \ast-monoids and free groups, respectively.

Keywords

Cite

@article{arxiv.1804.04307,
  title  = {Free operated monoids and Rewriting systems},
  author = {Xing Gao and Jin Zhang},
  journal= {arXiv preprint arXiv:1804.04307},
  year   = {2018}
}

Comments

17 pages

R2 v1 2026-06-23T01:21:14.509Z