On left $C$-$\scr U$-liberal semigroups
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1085-1108.

Voir la notice de l'article dans Czech Digital Mathematics Library

In this paper the equivalence $\tilde{\mathcal Q}^U$ on a semigroup $S$ in terms of a set $U$ of idempotents in $S$ is defined. A semigroup $S$ is called a $\mathcal U$-liberal semigroup with $U$ as the set of projections and denoted by $S(U)$ if every $\tilde{\mathcal Q}^U$-class in it contains an element in $U$. A class of $\mathcal U$-liberal semigroups is characterized and some special cases are considered.
Classification : 20M10
Mots-clés : equivalence $\tilde{\mathcal Q}^U$; left $C$-$\mathcal U$-liberal semigroup; left semi-spined product; band-formal construction; left $C$-liberal semigroup 
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     title = {On left $C$-$\scr U$-liberal semigroups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1085--1108},
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     zbl = {1157.20334},
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He, Yong; Shao, Fang; Li, Shi-qun; Gao, Wei. On left $C$-$\scr U$-liberal semigroups. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1085-1108. https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_4_a1/