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coherent ideal; strongly coherent ideal; median prime ideal; maximal ideal; Stone lattice; Boolean algebra

References:

[1] Balbes, R., Horn, A.: **Stone lattices**. Duke Math. J. 37 (1970), 537–545. MR 0277448 | Zbl 0207.02802

[2] Birkhoff, G.: **Lattice theory**. Amer. Math. Soc. Colloq. XXV, Providence, USA, 1967. MR 0227053 | Zbl 0153.02501

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[7] Rao, M. Sambasiva, Badawy, Abd. El-Mohsen: **Normal ideals of pseudo-complemented distributive lattices**. Chamchuri J. Math. 9 (2017), 61–73. MR 3808961

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[9] Speed, T.P.: **Some remarks on a class of distributive lattices**. J. Aust. Math. Soc. 9 (1969), 289–296. DOI 10.1017/S1446788700007205 | MR 0246800

[10] Stone, M.H.: **A theory of representations for Boolean algebras**. Trans. Amer. Math. Soc. 40 (1936), 37–111. MR 1501865

[11] Venatanarasimham, P.V.: **Pseudo-complements in Posets**. Proc. Amer. Math. Soc. 28 (1) (1971), 9–17. DOI 10.1090/S0002-9939-1971-0272687-X | MR 0272687