Free operated monoids and Rewriting systems
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2018
- DOI:
- arXiv:
- arXiv:1804.04307
- Bibcode:
- 2018arXiv180404307G
- Keywords:
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- Mathematics - Rings and Algebras;
- 16S15;
- 08A70;
- 06F05;
- 20M05
- E-Print:
- 17 pages