Geodesic
Stone Lattices. II. Structure Theorems
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 895-903

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

Using the triple associated with a Stone algebra L, as introduced in the first part of this paper (1), we will investigate certain problems concerning the structure of a Stone lattice.The following topics will be discussed: prime ideals, topological representation, completeness, relative Stone lattices, and the reduced triple.It is assumed that the reader is familiar with §§ 2–4 of (1). For the sake of convenience, we will write L= 〈C, D, φ〉 to indicate that 〈C, D, φ〉 is the triple associated with L, and whenever convenient we will write the elements of L as ordered pairs 〈x, a〉, as it is given in (1, § 4, the Construction Theorem). 
Chen, C. C.; Grätzer, G. Stone Lattices. II. Structure Theorems. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 895-903. doi: 10.4153/CJM-1969-097-2
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[1] 1. Chen, C. C. and Gràtzer, G., Stone lattices. I: Construction theorems, Can. J. Math. 21 (1969), 884–894. Google Scholar

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