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Construction of modular p-algebras. (English) Zbl 0316.06005


MSC:

06C05 Modular lattices, Desarguesian lattices
06C15 Complemented lattices, orthocomplemented lattices and posets
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References:

[1] G. Birkhoff,Lattice theory, 3rd. Ed. (Amer. Math Soc. Colloq. Publ.25 Providence, R.I. 1967). · Zbl 0153.02501
[2] C. C. Chen and G. Grätzer,Stone lattices. I: Construction theorems, Canad. J. Math.21 (1969), 884–894. · Zbl 0184.03303 · doi:10.4153/CJM-1969-096-5
[3] G. Grätzer,Lattice Theory. First concepts and distributive lattices, W. H. Freeman and Co., 1971. · Zbl 0232.06001
[4] T. Katriňák,Die Kennzeichnung der distributiven pseudokomplementären Halbverbände, J. reine angew. Math.241 (1970), 160–179. · Zbl 0192.33503 · doi:10.1515/crll.1970.241.160
[5] T. Katriňák,Über eine Konstruktion der distributiven pseudokomplementären Verbände, Math. Nachr.53 (1972), 85–99. · Zbl 0222.06005 · doi:10.1002/mana.19720530109
[6] T. Katriňák,Subdirectly irreducible modular p-algebras, Algebra Univ.2 (1972), 166–173. · Zbl 0258.06005 · doi:10.1007/BF02945024
[7] T. Katriňák,Primitive Klassen von modularen S-Algebren, J. reine angew. Math. 261 (1973), 55–70. · Zbl 0261.06006 · doi:10.1515/crll.1973.261.55
[8] T. Katriňák,A new proof of the construction theorem for stone algebras, Proc. Amer. Math. Soc.40 (1973), 75–78.
[9] P. V. Venkatanarasimhan,Ideals in semi-lattices, J. Indian. Math. Soc. (N.S.)30 (1966), 47–53. · Zbl 0158.01604
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