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Injectivity and Equational Compactness in the Class of ℵ0-Semilattices

Published online by Cambridge University Press:  20 November 2018

Evelyn Nelson
Evelyn Nelson*
Affiliation:
McMaster University, Hamilton, Ontario
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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].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 3 , August 1975 , pp. 387 - 392
Copyright
Copyright © Canadian Mathematical Society 1975

References

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. Bruns, G. and Lakser, H., Injective Hulls of Semilattices, Can. Math. Bull. 13 (1970) 115-118.Google Scholar
3. Grâtzer, G. and Lakser, H., Equationally Compact Semilattices. Coll. Math. 20 (1969) 27-30.Google Scholar
4. Nelson, Evelyn, Infinitary Equational Compactness. Alg. Univ. 4 (1974) 1-13.Google Scholar
5. Taylor, Walter, Residually Small Varieties. Alg. Univ. 2 (1972) 33-53.Google Scholar