QUASI-COMMUTATIVE SEMIGROUPS OF FINITE ORDER RELATED TO HAMILTONIAN GROUPS

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 52, Issue 1, 2015, pp.239-246
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2015.52.1.239

Title & Authors

QUASI-COMMUTATIVE SEMIGROUPS OF FINITE ORDER RELATED TO HAMILTONIAN GROUPS

Sorouhesh, Mohammad Reza; Doostie, Hossein;

Sorouhesh, Mohammad Reza; Doostie, Hossein;

Abstract

If for every elements x and y of an associative algebraic structure (S, ) there exists a positive integer r such that , then S is called quasi-commutative. Evidently, every abelian group or commutative semigroup is quasi-commutative. Also every finite Hamiltonian group that may be considered as a semigroup, is quasi-commutative however, there are quasi-commutative semigroups which are non-group and non commutative. In this paper, we provide three finitely presented non-commutative semigroups which are quasi-commutative. These are the first given concrete examples of finite semigroups of this type.

Keywords

quasi-commutativity;finitely presented semigroups;

Language

English

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