A criterion for the similarity of length-two elements in a noncommutative PID |
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| Authors: | Ziming Li Huaifu Wang |
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| Institution: | 1.Key Laboratory of Mathematics and Mechanization,Academy of Mathematics and Systems Science,Beijing,China |
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| Abstract: | This paper presents a criterion for the similarity of length-two elements in a noncommutative principal ideal domain. The
criterion enables the authors to develop an algorithm for determining whether B
1
A
1 and B
2
A
2 are similar, where A
1,A
2,B
1,B
2 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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| Keywords: | |
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