Primitive orthogonal idempotents for R-trivial monoids      orthogonal idempotents  R-trivial monoids        font style='font-size:12px;'> 2010/12/13

We show that the notions of R-trivial monoid and weakly ordered monoid are equivalent. We use this fact to construct a complete system of orthogonal idempotents for all R-trivial monoids.

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