Geodesic
Injectivity and Equational Compactness in the Class of א0-Semilattices
Canadian mathematical bulletin, Tome 18 (1975) no. 3, pp. 387-392

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

This note presents characterizations of the injective and of the equationally compact א0-semilattices, which are analogous, respectively, to the characterizations of the injective semilattices given by Bruns and Lakser [2] and of the equationally compact semilattices given by Grätzer and Lakser [3]. 
Nelson, Evelyn. Injectivity and Equational Compactness in the Class of א0-Semilattices. Canadian mathematical bulletin, Tome 18 (1975) no. 3, pp. 387-392. doi: 10.4153/CMB-1975-071-0
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[1] 1. Banaschewski, B., Injectivity and Essential Extensions in Equational Classes of Algebras. Proceedings of the Conference on Universal Algebra (Oct. 1969), Queen's Papers in Pure and Applied Mathematics, No. 25. Google Scholar

[2] 2. Bruns, G. and Lakser, H., Injective Hulls of Semilattices, Can. Math. Bull. 13 (1970) 115-118. Google Scholar

[3] 3. Grâtzer, G. and Lakser, H., Equationally Compact Semilattices. Coll. Math. 20 (1969) 27-30. Google Scholar

[4] 4. Nelson, Evelyn, Infinitary Equational Compactness. Alg. Univ. 4 (1974) 1-13. Google Scholar

[5] 5. Taylor, Walter, Residually Small Varieties. Alg. Univ. 2 (1972) 33-53. Google Scholar

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