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This document summarizes a research paper that examines the join of the pseudovarieties of R-trivial and L-trivial monoids. The paper proves that this join can be described by a single effective pseudoidentity, establishing the decidability of the membership problem for this pseudovariety. It relies on implicit operations and pseudoidentities to characterize pseudovarieties and calculate their joins. The paper answers an open question posed by an earlier author about characterizing the join of R and L.

Author

S Kumar

Language

EN