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Davey, Brian A.; Werner, Heinrich

Distributivity of coproducts over products. (English) Zbl 0472.08010

Algebra Univers. 12, 387-394 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0472.08010

Cited in 3 Documents

MSC:

08C05 Categories of algebras
08B05 Equational logic, Mal’tsev conditions
08B25 Products, amalgamated products, and other kinds of limits and colimits

Keywords:

coproducts distribute over products; discriminator varieties; bounded distributive lattices; reducts
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References:

[1] R. Balbes andPh. Dwinger,Distributive lattices, Univ. of Missouri Press, Columbia, Missouri, 1974. · Zbl 0321.06012
[2] G. Birkhoff,Lattice theory, Amer. Math. Soc. Coll. Publ.25 (1967), 3rd edition. · Zbl 0153.02501
[3] W. H. Cornish andP. R. Fowler,Coproducts of Kleene algebras, J. Austral. Math. Soc. (to appear) · Zbl 0403.06010
[4] B. A. Davey andM. S. Goldberg,The free p-algebra generated by a distributive lattice, Algebra Universalis11 (1980), 90–100. · doi:10.1007/BF02483084
[5] H. A. Priestley,Representation of distributive lattices by means of ordered Stone spaces, Bull. London Math. Soc.2 (1970), 186–190. · Zbl 0201.01802 · doi:10.1112/blms/2.2.186
[6] H. A. Priestley,Ordered topological spaces and the representation of distributive lattices, Proc. London Math. Soc. Ser (3)24 (1972), 507–530. · Zbl 0323.06011 · doi:10.1112/plms/s3-24.3.507
[7] H. Werner,Discriminator varieties. Studien zur Algebra, Band 6, Akademie-Verlag, Berlin (1978).
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