Geodesic
Stone Lattices. I: Construction Theorems
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 884-894

Voir la notice de l'article provenant de la source Cambridge University Press

Stone lattices were (named and) first studied in 1957 (5). Since then, a great number of papers have been written on Stone lattices and a very satisfactory theory evolved. Despite the fact that all chains with 0, 1 as well as all Boolean algebras are Stone lattices, it turns out that many of the nice theorems on Boolean algebras have analogues, in fact, generalizations for Stone lattices. To give just two examples: the characterization of Boolean algebras in terms of prime ideals (Nachbin (6)) is generalized in (5) (see also (9)); Stone's representation theory (8) is generalized in (4); see also (2). 
Chen, C. C.; Grätzer, G. Stone Lattices. I: Construction Theorems. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 884-894. doi: 10.4153/CJM-1969-096-5
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