Geodesic
A Note on Stone Lattices
Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 81-86

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Stone lattices can be considered as forming a category of abstract algebras and thus there is a forgetful functor from this category to the category of distributive lattices with zero and unit. In this note we consider Stone lattices in this light (cf. [3], [4]) and describe an adjoint to the forgetful functor. The Stone extension of a distributive lattice with zero unit which we obtain differs markedly from the one given in [1]. 
Speed, T. P. A Note on Stone Lattices. Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 81-86. doi: 10.4153/CMB-1971-015-x
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[1] 1. Chen, C. C., Free stone extensions of distributive lattices, Nanta Mathematica, 2 (1968), 1-15. Google Scholar

[2] 2. Chen, C. C. and Grätzer, G., Stone lattices I, II, Canad. J. Math., 21 (1969), 884-903. Google Scholar

[3] 3. Grätzer, G., A generalization of Stone's representation theorem for Boolean algebras, Duke Math. J. 30 (1963), 469-474. Google Scholar

[4] 4. Grätzer, G.,Stone algebras form an equational class, J. Austral. Math. Soc, 9 (1969), 308-309. Google Scholar

[5] 5. Kist, J., Minimal prime ideals in commutative semigroups, Proc. Lond. Math. Soc. Ser. 3, 13 (1963), 31-50. Google Scholar

[6] 6. Speed, T. P., On Stone lattices, J. Austral. Math. Soc. 9 (1969), 297-307 Google Scholar

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