1. Clifford, A.H. and G.B. Preston, The algebraic theory of semigroups, Amer. Math. Soc., Providence, R.I., vol. I 1961, vol. II 1967.
2. Gould, M. and J.A. Iskra, Globally determined classes of semigroups, Semigroup Forum (to appear).
3. Gould, M., J.A. Iskra, and C. Tsinakis, Globally determined lattices and semilattices, Algebra Universalis (to appear).
4. Kobayashi, Y., Semilattices are globally determined (manuscript).
5. Lallement, G. and M. Petrich, Décompositions I-matricelles d'un demi-groupe, J. Math. Pure appl. 45 (1966), 67–117.