Geodesic
On the imbedding of semigroup identities in infinite irreducible sets
Matematičeskie zametki, Tome 12 (1972) no. 1, pp. 95-104
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For a sufficiently extensive class of semigroup identities, it is proved that each identity from this class can be imbedded in such an infinite set of identities in which none of the identities is a corollary of the rest. 
@article{MZM_1972_12_1_a12,
     author = {E. S. Lyapin},
     title = {On the imbedding of semigroup identities in infinite irreducible sets},
     journal = {Matemati\v{c}eskie zametki},
     pages = {95--104},
     year = {1972},
     volume = {12},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a12/}
}
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E. S. Lyapin. On the imbedding of semigroup identities in infinite irreducible sets. Matematičeskie zametki, Tome 12 (1972) no. 1, pp. 95-104. http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a12/