In this paper we are interested in the Chinese monoid and show that the Chinese monoid has complete rewriting system. Mathematics Subject Classification: 16S15; 20F05; 20F10; 20M50; 68Q42

The main goal of this paper is to define Gröbner–Shirshov bases for some monoids. Therefore, after giving some preliminarymaterial, we first give Gröbner–Shirshov bases for graphs and Schützenberger… (More)

In this paper we give necessary and sufficient conditions for the efficiency of a standard presentation for the semidirect product of finite cyclic monoids by one-relator monoids.

Squier introduced the notion finite derivation type which is a combinatorial condition satisfied by certain rewriting systems. The main result in this paper states that the Chinese monoid has finite… (More)