Abstract:The authors of Berg et al. [J. Algebra 348 (2011) 446–461] provide an algorithm for finding a complete system of primitive orthogonal idempotents for [Formula: see text], where [Formula: see text] is any finite [Formula: see text]-trivial monoid. Their method relies on a technical result stating that [Formula: see text]-trivial monoid are equivalent to so-called weakly ordered monoids. We provide an alternative algorithm, based only on the simple observation that an [Formula: see text]-trivial monoid may be re… Show more
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