On classification of pairs of potent linear operators with the simplest annihilation condition
We study the problem of classifying the pairs of linear operators \(\mathcal{A}, \mathcal{B}\)(acting on the same vector space), when the both operators are potent and\(\mathcal{A}\mathcal{B}=0\). We describe the finite, tame and wild cases and classify the indecomposable pairs of operators in the f...
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| Date: | 2016 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2016
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/170 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| Summary: | We study the problem of classifying the pairs of linear operators \(\mathcal{A}, \mathcal{B}\)(acting on the same vector space), when the both operators are potent and\(\mathcal{A}\mathcal{B}=0\). We describe the finite, tame and wild cases and classify the indecomposable pairs of operators in the first two of them. |
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