Geodesic
On constructions of semigroups
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 180-195
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This paper gives a brief survey of constructions of semigroups by using structures of some semigroups belonging to the class of regular semigroups, quasi-regular semigroups, and abundant semigroups. In particular, we show some basic notation and structure theorems for some semigroups, for example, Rees matrix semigroups over the $0$-group $G^0$ and their generalizations, bands, $E$-ideal quasi-regular semigroups, $\mathcal C^*$-quasiregular semigroups, $\mathcal L^*$-inverse semigroups, $\mathcal Q^*$-inverse semigroups, and regular ortho-lc-monoids.
Keywords: regular semigroups, quasi-regular semigroups, abundant semigroups
Mots-clés : constructions. 
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K. P. Shum; X. M. Ren; C. M. Gong. On constructions of semigroups. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 180-195. http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a17/

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