%0 Journal Article
%T Primitive orthogonal idempotents for R-trivial monoids
%A Chris Berg
%A Nantel Bergeron
%A Sandeep Bhargava
%A Franco Saliola
%J Mathematics
%D 2010
%I arXiv
%R 10.1016/j.jalgebra.2011.10.006
%X We construct a recursive formula for a complete system of primitive orthogonal idempotents for any $R$-trivial monoid. This uses the newly proved equivalence between the notions of $R$-trivial monoid and weakly ordered monoid.
%U http://arxiv.org/abs/1009.4943v3