References
K. Baker,Equational classes of modular lattices, Pacific J. Math.28 (1968), 9–15.
G. Birkhoff,Lattice Theory, Amer. Math. Soc. Colloq. Publ., vol.25.
S. Burris,On the structure of the lattice of equational classes ℒ (τ), Alg. Universalis (to appear).
S. Burris, and E. Nelson,Embedding the dual of Π m in the lattice of equational classes of commutative semigroups, Proc. Amer. Math. Soc.30 (1971) 37–39.
J. A. Gerhard,The lattice of equational classes of idempotent semigroups, J. Algebra15 (1970), 195–224.
G. Grätzer,Universal Algebra, (Van Nostrand, Princeton, New Jersey, 1968).
E. Jacobs and R. Schwabauer,The lattice of equational classes of algebras with one unary operation, Amer. Math. Monthly71 (1964), 151–154.
A. Kurosh,General Algebra, (Chelsea, New York, 1963).
R. McKenzie,Equational bases for lattice theories, Math. Scand.26 (1970), 24–38.
P. Perkins,Bases for equational theories of semigroups, J. of Algebra11 (1969), 298–314.
D. Sachs,Identities in finite partition lattices, Proc. Amer. Math. Soc.12 (1969), 944–945.
A. Tarski,Equational logic and equational theories of algebrac, Proceedings of the Logic Colloquium, Hannover, 1966, pp. 275–288.
A. Thue,Über die gegenseitige Lage gleicher Teile gewisser Zeichenreihen. Videnskabsselskabets Skrifter, I Mat.-nat. K., Christiania 1912.
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Research supported by a Summer Research Stipend from the University of Waterloo.
Research supported by NRC grant A-2985.
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Burris, S., Nelson, E. Embedding the dual ofΠ ∞ in the lattice of equational classes of semigroups. Algebra Univ. 1, 248–253 (1971). https://doi.org/10.1007/BF02944986
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DOI: https://doi.org/10.1007/BF02944986