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 ∗ -monoids and free groups, respectively.
CITATION STYLE
Zhang, J., & Gao, X. (2018). Free operated monoids and rewriting systems. Semigroup Forum, 97(3), 435–456. https://doi.org/10.1007/s00233-018-9939-0
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