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We establish a correspondence among loops, regular permutation sets and directed graphs with a suitable edge colouring and relate some algebraic properties of the loop to configurations of the associated graph.
Following the slid product construction for loops with inverses of , we present here the general setting ensuring the construction of a new loop (L, ⊕) starting from loops (K, +), (P, +) and (P, +) possessing suitable properties. The results established in the aforementioned note are generalized as well. Moreover we investigate the nuclei of L and the… (More)
BACKGROUND Muscle fatigue, weakness and atrophy are basilar clinical features that accompany facioscapulohumeral dystrophy (FSHD) the third most common muscular dystrophy.No therapy is available for FSHD. CASE PRESENTATION We describe the effects of 6mo exercise therapy and nutritional supplementation in a 43-year-old woman severely affected by FSHD. … (More)