Equational axioms for classes of lattices
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- by Kirby A. Baker PDF
- Bull. Amer. Math. Soc. 77 (1971), 97-102
References
- Kirby A. Baker, Equational classes of modular lattices, Pacific J. Math. 28 (1969), 9–15. MR 244118, DOI 10.2140/pjm.1969.28.9
- K. A. Baker, P. C. Fishburn, and F. S. Roberts, Partial orders of dimension $2$, Networks 2 (1972), 11–28. MR 300944, DOI 10.1002/net.3230020103
- Garrett Birkhoff, Lattice theory, 3rd ed., American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1967. MR 0227053
- R. P. Dilworth, The structure of relatively complemented lattices, Ann. of Math. (2) 51 (1950), 348–359. MR 33795, DOI 10.2307/1969328
- George Grätzer, Universal algebra, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1968. MR 0248066
- Bjarni Jónsson, Modular lattices and Desargues’ theorem, Math. Scand. 2 (1954), 295–314. MR 67859, DOI 10.7146/math.scand.a-10416
- Bjarni Jónsson, Algebras whose congruence lattices are distributive, Math. Scand. 21 (1967), 110–121 (1968). MR 237402, DOI 10.7146/math.scand.a-10850
- Bjarni Jónsson, Equational classes of lattices, Math. Scand. 22 (1968), 187–196 (1969). MR 246797, DOI 10.7146/math.scand.a-10882
- Ralph McKenzie, Equational bases for lattice theories, Math. Scand. 27 (1970), 24–38. MR 274353, DOI 10.7146/math.scand.a-10984 10. R. McKenzie, Equational bases and non-modular lattice varieties (to appear).
- Maurice-Paul Schützenberger, Sur certains axiomes de la théorie des structures, C. R. Acad. Sci. Paris 221 (1945), 218–220 (French). MR 14058
- Rudolf Wille, Primitive Länge und primitive Weite bei modularen Verbänden, Math. Z. 108 (1969), 129–136 (German). MR 241332, DOI 10.1007/BF01114466
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 97-102
- MSC (1970): Primary 06A20, 08A15; Secondary 06A30, 08A20
- DOI: https://doi.org/10.1090/S0002-9904-1971-12618-6
- MathSciNet review: 0288058