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Semilattices with closure. (English) Zbl 1088.06003

From the text: We examine the varieties of semilattices (called CSL’s) with an additional closure operator treated as a unary operation. Topics investigated include the word problem in free CSL’s, the lattice of CSL varieties, the finite basis problem for the identities of finite CSL’s and a representation as intersection of closed subsets of topological spaces.

MSC:

06A12 Semilattices
06A15 Galois correspondences, closure operators (in relation to ordered sets)
08A50 Word problems (aspects of algebraic structures)
08B15 Lattices of varieties
08B20 Free algebras
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