On r-potent linear mappings |
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Authors: | Jin Bai Kim |
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Institution: | West Virginia University Morgantown, West Virginia, USA |
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Abstract: | Let L(E) be the set of all linear mappings of a vector space E. Let Z+ be the set of all positive integers. A nonzero element ? in L(E) is called an r-potent if . We prove that is a semigroup generated by the set of all r-potents in S(E), where r is a fixed positive integer with 2?r?n=dim(E). |
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