A new proof of the construction theorem for Stone algebras
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- by Tibor Katriňák PDF
- Proc. Amer. Math. Soc. 40 (1973), 75-78 Request permission
Abstract:
A simple proof is given of Chen’s and Grätzer’s theorem, which gives a method to construct a Stone algebra from a Boolean algebra and a distributive lattice with 1 by certain connective conditions between the two given lattices.References
- C. C. Chen and G. Grätzer, Stone lattices. I. Construction theorems, Canadian J. Math. 21 (1969), 884–894. MR 242737, DOI 10.4153/CJM-1969-096-5
- George Grätzer, Lattice theory. First concepts and distributive lattices, W. H. Freeman and Co., San Francisco, Calif., 1971. MR 0321817
- Tibor Katriňák, Die Kennzeichnung der distributiven pseudokomplementären Halbverbände, J. Reine Angew. Math. 241 (1970), 160–179 (German). MR 260629, DOI 10.1515/crll.1970.241.160
- Tibor Katriňák, Über eine Konstruktion der distributiven pseudokomplementären Verbände, Math. Nachr. 53 (1972), 85–99 (German). MR 316334, DOI 10.1002/mana.19720530109
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 75-78
- MSC: Primary 06A35
- DOI: https://doi.org/10.1090/S0002-9939-1973-0316335-0
- MathSciNet review: 0316335