Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665212010TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGSENLiuZhongkuiYangXiaoyan<p>Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly　rigid and l<sub>R</sub>(Ra) is pure as a left ideal of R for every element a ∈ R. Then the skew monoid ring R*S induced by α has the same triangulating dimension as R. Furthermore, if R is a PWP ring, then so is R*S.</p>
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