论文信息 - On F-semigroups with three generators

On F-semigroups with three generators

All F-semigroups (i.e., semigroups isomorphic to finitely generated subsemigroups of a free semigroup) with three generators are finitely defined. The necessary and sufficient condition is obtained for which the equation in the words Zn =ϕ (X, Y) has a nontrival solution.

L. G. Budkina | Al. A. Markov

[1] A. Brauer. On a Problem of Partitions , 1942 .

[2] L. Rédei,et al. The theory of finitely generated commutative semigroups , 1965 .

[3] E. K. Blum. A note on free subsemigroups with two generators , 1965 .

[4] Al. A. Markov. On finitely generated subsemigroups of a free semigroup , 1971 .