Geodesic
Two examples of diagonal bi-acts
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 3, pp. 3-9 Cet article a éte moissonné depuis la source Math-Net.Ru

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An example of a right cancellative semigroup is constructed such that the diagonal bi-act of this semigroup is cyclic. Moreover, it is proved that every semigroup can be isomorphically embedded into a semigroup such that its diagonal bi-act of second order is cyclic, but the diagonal bi-act of third order is not finitely generated. 
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T. V. Apraksina; I. Barkov; I. B. Kozhukhov. Two examples of diagonal bi-acts. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 3, pp. 3-9. http://geodesic.mathdoc.fr/item/FPM_2013_18_3_a0/

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