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- W2079372184 abstract "If for every elements x and y of an associative algebraic structure (S, <TEX>${cdot}$</TEX>) there exists a positive integer r such that <TEX>$ab=b^ra$</TEX>, 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." @default.
- W2079372184 created "2016-06-24" @default.
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- W2079372184 date "2015-01-31" @default.
- W2079372184 modified "2023-10-01" @default.
- W2079372184 title "QUASI-COMMUTATIVE SEMIGROUPS OF FINITE ORDER RELATED TO HAMILTONIAN GROUPS" @default.
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- W2079372184 doi "https://doi.org/10.4134/bkms.2015.52.1.239" @default.
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