Affine complete ortholattices
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- by Dietmar Schweigert PDF
- Proc. Amer. Math. Soc. 67 (1977), 198-200 Request permission
Abstract:
Every finite orthomodular lattice is affine complete.References
- Garrett Birkhoff, Lattice theory, 3rd ed., American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1967. MR 0227053
- Günter Bruns and Gudrun Kalmbach, Varieties of orthomodular lattices. II, Canadian J. Math. 24 (1972), 328–337. MR 294194, DOI 10.4153/CJM-1972-027-4
- G. Grätzer, On Boolean functions. (Notes on lattice theory. II.), Rev. Math. Pures Appl. 7 (1962), 693–697. MR 177922 H. Lausch and W. Nöbauer, Algebra of polynomials, Amsterdam, 1973.
- F. Maeda and S. Maeda, Theory of symmetric lattices, Die Grundlehren der mathematischen Wissenschaften, Band 173, Springer-Verlag, New York-Berlin, 1970. MR 0282889
- A. F. Pixley, Completeness in arithmetical algebras, Algebra Universalis 2 (1972), 179–196. MR 321843, DOI 10.1007/BF02945027
- Dietmar Schweigert, Über endliche, ordnungspolynomvollständige Verbände, Monatsh. Math. 78 (1974), 68–76 (German). MR 340124, DOI 10.1007/BF01298196
- Heinrich Werner, Produkte von Konkruenzklassengeometrien universeller Algebren, Math. Z. 121 (1971), 111–140 (German). MR 281681, DOI 10.1007/BF01113481
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 67 (1977), 198-200
- MSC: Primary 06A20
- DOI: https://doi.org/10.1090/S0002-9939-1977-0460196-X
- MathSciNet review: 0460196