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Minimal Presentations and Embedding into Inefficient Semigroups

    https://doi.org/10.1142/S1005386705000064Cited by:2 (Source: Crossref)

    In this paper, we show that CLn, the chain with n elements, is efficient and that the direct product CLm × CLn is inefficient. Moreover, we embed any finitely presented semigroup S into an inefficient semigroup, namely, the semigroup S ⋃ SLn, where SLn is the free semilattice of rank n.

    AMSC: 20M05