Necessary conditions for a semigroup to be an integral CRM-ring with identity.
Semigroup forum, Tome 12 (1976), pp. 207-214.

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@article{SF_1976__12_134173,
     author = {A. B. Engel},
     title = {Necessary conditions for a semigroup to be an integral {CRM-ring} with identity.},
     journal = {Semigroup forum},
     pages = {207--214},
     publisher = {mathdoc},
     volume = {12},
     year = {1976},
     zbl = {0328.20061},
     url = {http://geodesic.mathdoc.fr/item/SF_1976__12_134173/}
}
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A. B. Engel. Necessary conditions for a semigroup to be an integral CRM-ring with identity.. Semigroup forum, Tome 12 (1976), pp. 207-214. http://geodesic.mathdoc.fr/item/SF_1976__12_134173/