Semilattices with closure. (English) Zbl 1088.06003

Jackson, Marcel

Algebra Univers. 52, No. 1, 1-37 (2004).

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.

Reviewer: Benoit Larose (St. Lambert)

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

Keywords:

RC-semigroups; closure operators; varieties