506 research outputs found

    On Ratliff-Rush closure of modules

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    In this paper, we introduce the notion of Ratliff-Rush closure of modules and explore whether the condition of the Ratliff-Rush closure coincides with the integral closure. The main result characterizes the condition in terms of the normality of the projective scheme of the Rees algebra, which generalizes the result of S. Goto and N. Matsuoka. In conclusion, we shall give a criterion for the Buchsbaum Rees algebras.Comment: 15 page

    Bone Histomorphometry of Femoral Head Cancellous Bone in Patients Who Underwent Total Hip Arthroplasties due to Destructive Hip in Rheumatoid Arthritis

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    Rheumatoid arthritis (RA) affects the hip joints. The microarchitecture of the cancellous bone in RA-affected hip joints has been unclear. Here we investigated the bone metabolism changes in the subcapital cancellous bone of destructive hips of RA patients (n=26 patients; 28 hip joints) which were classified by Larsen grade on X-ray into the groups: destructive hip (Des) (Larsen grade IV, n=18) and neck fracture (Fx) (Larsen grade 0 or 1, n=10). The femoral heads of the Des-group showed significantly higher trabecular thickness versus those of the Fx-group (179±30.8 vs. 151±23.5 μm, p=0.02). The Des-group had significantly higher osteoid volume/tissue volume (OV/TV) and osteoid volume/bone volume (OV/BV) ratios than the Fx-group (OV/TV: 0.72±0.70% vs. 0.27±0.32%, p=0.028; OV/BV: 2.96±2.85% vs. 1.24±1.31%, p=0.039). The osteoblast and osteoclast surface areas of the Des-group were remarkably higher than those of the Fx-group (9.80±10.9 vs. 0.15±0.15%, p=0.0005; 0.34±0.48 vs. 0.06±0.06%, p=0.0285, respectively). The T-scores of hip (femoral neck) bone mineral density (BMD) of the Fx-group were significantly lower versus those of the Des-group (−3.1±0.76 vs. −1.6±1.17, p<0.01). Increased osteoid and resorption parameters and higher femoral neck BMD demonstrate a high bone-turnover state in response to destructive changes in the hips of RA patients
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