Classes of Semilattices Associated with an Equational Class of Lattices
Canadian journal of mathematics, Tome 25 (1973) no. 2, pp. 361-365

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we consider the question of whether there is a natural class of semilattices associated with a fixed equational class of lattices. We give four classes of semilattices which may be obtained from a given equational class of lattices and show that for the distributive case they coalesce into one class. An incomplete set of relations is given for the general case.
Gaskill, H. S. Classes of Semilattices Associated with an Equational Class of Lattices. Canadian journal of mathematics, Tome 25 (1973) no. 2, pp. 361-365. doi: 10.4153/CJM-1973-036-9
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[1] 1. Birkhoff, G., Lattice theory (Amer. Math. Soc. Colloquim Publications, XXV, Providence, R.I., 1967). Google Scholar

[2] 2. Grätzer, G., Universal algebra (D. Van Nostrand Company, Inc., Toronto, 1968). Google Scholar

[3] 3. Green, C., Distributive semilattices, Notices Amer. Math. Soc. 15 (1968), 68T-A55. Google Scholar

[4] 4. Rhodes, J. B., Modular semilattices, Notices Amer. Math. Soc. 17 (1970), 672–679. Google Scholar

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