A criterion for the similarity of length-two elements in a noncommutative PID
نویسندگان
چکیده
We present a criterion for the similarity of length-two elements in a noncommutative principal ideal domain. The criterion enables us to develop an algorithm for determining whether B1A1 and B2A2 are similar, where A1, A2, B1, B2 are first-order differential (difference) operators. The main step in the algorithm is to find a rational solution of a parametric differential (difference) Risch’s equation, which has been well-studied in symbolic integration (summation).
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عنوان ژورنال:
- J. Systems Science & Complexity
دوره 24 شماره
صفحات -
تاریخ انتشار 2011