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Isbell, John R.

Median algebra. (English) Zbl 0446.06007

Trans. Am. Math. Soc. 260, 319-362 (1980).
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Cited in 4 Reviews
Cited in 55 Documents

MSC:

06B99 Lattices
08B99 Varieties
08A02 Relational systems, laws of composition

Keywords:

median operation; embeddability in a lattice; isotropic media; symmetric media
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\textit{J. R. Isbell}, Trans. Am. Math. Soc. 260, 319--362 (1980; Zbl 0446.06007)
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References:

[1] Reinhold Baer, Linear algebra and projective geometry, Academic Press Inc., New York, N. Y., 1952. · Zbl 0049.38103
[2] Garrett Birkhoff, Lattice Theory, American Mathematical Society, New York, 1940. · JFM 66.0100.04
[3] Garrett Birkhoff and S. A. Kiss, A ternary operation in distributive lattices, Bull. Amer. Math. Soc. 53 (1947), 749 – 752. · Zbl 0031.25002
[4] Ju. L. Eršov, I. A. Lavrov, A. D. Taĭmanov, and M. A. Taĭclin, Elementary theories, Uspehi Mat. Nauk 20 (1965), no. 4 (124), 37 – 108 (Russian). · Zbl 0199.03001
[5] Ju. L. Eršov and M. A. Taĭclin, Undecidability of certain theories, Algebra i Logika Sem. 2 (1963), no. 5, 37 – 41 (Russian).
[6] Andrzej Grzegorczyk, Undecidability of some topological theories, Fund. Math. 38 (1951), 137 – 152. · Zbl 0045.00301
[7] Marshall Hall, Projective planes, Trans. Amer. Math. Soc. 54 (1943), 229 – 277. · Zbl 0060.32209
[8] J. Isbell, Some concrete dualities, Notices Amer. Math. Soc. 21 (1974), A567-A568.
[9] Ernest G. Manes, Algebraic theories, Springer-Verlag, New York-Heidelberg, 1976. Graduate Texts in Mathematics, No. 26. · Zbl 0353.18007
[10] H. Zassenhaus, Zum Satz von Jordan-Hölder-Schreier, Abh. Math. Sem. Univ. Hamburg 10 (1934), 106-108. · JFM 60.0081.03
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