Not all fundamental 0-bisimple inverse semigroups contain charts.
Semigroup forum, Tome 12 (1976), pp. 176-179.

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@article{SF_1976__12_134168,
     author = {N.R. Reilly},
     title = {Not all fundamental 0-bisimple inverse semigroups contain charts.},
     journal = {Semigroup forum},
     pages = {176--179},
     publisher = {mathdoc},
     volume = {12},
     year = {1976},
     zbl = {0327.20025},
     url = {http://geodesic.mathdoc.fr/item/SF_1976__12_134168/}
}
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N.R. Reilly. Not all fundamental 0-bisimple inverse semigroups contain charts.. Semigroup forum, Tome 12 (1976), pp. 176-179. http://geodesic.mathdoc.fr/item/SF_1976__12_134168/