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Primitive orthogonal idempotents for R-trivial monoids

arXiv:1009.4943 · doi:10.1016/j.jalgebra.2011.10.006

Abstract

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.

Journal of Algebra, 2011