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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

The structure of non-Arguesian lattices

Author(s): Alan Day; Bjarni Jónsson
Journal: Bull. Amer. Math. Soc. 13 (1985), 157-159.
MSC (1980): Primary 06C05; Secondary 51A05
MathSciNet review: 799801
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References | Similar articles | Additional information

References:

1.
A. Day, A note on Arguesian lattices, Arch. Math. 3, Scripta Fac. Sci. Nat. Ujep Brunensis XIX (1983), 117-124. MR 725193
2.
G. Grätzer, B. Jónsson and H. Lakser, The amalgamation property in equational classes of modular lattices, Pacific J. Math. 45 (1973), 507-524. MR 366768
3.
M. Hall, Jr. and R. Dilworth, The embedding theorem for modular lattices, Ann. of Math. (2) 45 (1944), 450-456. MR 10541
4.
Ch. Herrmann, S-Verklebte Summen von Verbanden, Math. Z. 130 (1973), 255-274. MR 342449
5.
Ch. Herrmann, On the word problem for modular lattices with four generators, Math. Ann. 265 (1983), 513-527. MR 721885
6.
B. Jónsson, Modular lattices and Desargues' theorem, Math. Scand. 2 (1954), 295-314. MR 67859
7.
B. Jónsson, Arguesian lattices of dimension n ≤ 4, Math. Scand. 7 (1959), 133-145. MR 109800
8.
B. Jónsson and G. Monk, Representation of primary Arguesian lattices, Pacific J. Math. 30 (1969), 95-139. MR 258685
9.
D. Pickering, On minimal non-Arguesian lattice varieties, PhD Thesis, Univ. of Hawaii, 1984.

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Additional Information:

DOI: 10.1090/S0273-0979-1985-15402-3
PII: S 0273-0979(1985)15402-3




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