Abstract
This paper is concerned with the computation of pseudovariety joins involving the pseudovariety L I of locally trivial semigroups. We compute, in particular, the join of L I with any subpseudovariety of CR(m in circle)N, the Mal’cev product of the pseudovariety of completely regular semigroups and the pseudovariety of nilpotent semigroups. Similar studies are conducted for the pseudovarieties K, D and N, where K (resp. D) is the pseudovariety of all semigroups S such that eS=e (resp. Se=e ) for each idempotent e of S .
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Communicated by N. R. Reilly
Research supported by INVOTAN, grant 4/A/94/PO and by Centro de Matemática da Universidade do Minho. The author is member of the project AGC contract Praxis/2/2.1/MAT/63/94.
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Costa, J.C. Some pseudovariety joins involvinglocally trivial semigroups. Semigroup Forum 64, 12–28 (2001). https://doi.org/10.1007/s002330010060
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DOI: https://doi.org/10.1007/s002330010060