Geodesic
Two examples of diagonal bi-acts
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 3, pp. 3-9

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{FPM_2013_18_3_a0,
     author = {T. V. Apraksina and I. Barkov and I. B. Kozhukhov},
     title = {Two examples of diagonal bi-acts},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {3--9},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2013_18_3_a0/}
}
TY  - JOUR
AU  - T. V. Apraksina
AU  - I. Barkov
AU  - I. B. Kozhukhov
TI  - Two examples of diagonal bi-acts
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2013
SP  - 3
EP  - 9
VL  - 18
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2013_18_3_a0/
LA  - ru
ID  - FPM_2013_18_3_a0
ER  - 
%0 Journal Article
%A T. V. Apraksina
%A I. Barkov
%A I. B. Kozhukhov
%T Two examples of diagonal bi-acts
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2013
%P 3-9
%V 18
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2013_18_3_a0/
%G ru
%F FPM_2013_18_3_a0
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/