ON DIRECT PRODUCT DECOMPOSITIONS OF FINITE $\mathscr J$-TRIVIAL SEMIGROUPS
Jorge Almeida · International Journal of Algebra and Computation · 1991
A nontrivial decomposition of the class J of all finite [Formula: see text]-trivial semigroups as a join of two pseudovarieties is given. The definition of these pseudovarieties and the proof are purely syntactical, being based on a complete description of the implicit operations on J obtained by the author in a previous paper.