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Semilattices with closure

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Abstract.

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 closed subsets of topological spaces.

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Authors and Affiliations

  1. Department of Mathematics, La Trobe University, Victoria, 3086, Australia

    Marcel Jackson

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  1. Marcel Jackson
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Correspondence to Marcel Jackson.

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Received September 13, 2001; accepted in final form January 3, 2004.

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Jackson, M. Semilattices with closure. Algebra univers. 52, 1–37 (2004). https://doi.org/10.1007/s00012-004-1871-3

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  • DOI: https://doi.org/10.1007/s00012-004-1871-3

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