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 |
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Lugansk National Taras Shevchenko University
2016
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| 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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admjournalluguniveduua-article-1702016-05-11T05:58:00Z On classification of pairs of potent linear operators with the simplest annihilation condition Bondarenko, Vitaliy M. Tertychna, Olena M. Zubaruk, Olesya V. potent operator, quiver, Krull-Schmidt category, functor, canonical form, tame type, wild type, Dynkin graph, extended Dynkin graph 15A21, 16G20, 16G60 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. Lugansk National Taras Shevchenko University 2016-05-10 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/170 Algebra and Discrete Mathematics; Vol 21, No 1 (2016) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/170/pdf Copyright (c) 2016 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2016-05-11T05:58:00Z |
| collection |
OJS |
| language |
English |
| topic |
potent operator quiver Krull-Schmidt category functor canonical form tame type wild type Dynkin graph extended Dynkin graph 15A21 16G20 16G60 |
| spellingShingle |
potent operator quiver Krull-Schmidt category functor canonical form tame type wild type Dynkin graph extended Dynkin graph 15A21 16G20 16G60 Bondarenko, Vitaliy M. Tertychna, Olena M. Zubaruk, Olesya V. On classification of pairs of potent linear operators with the simplest annihilation condition |
| topic_facet |
potent operator quiver Krull-Schmidt category functor canonical form tame type wild type Dynkin graph extended Dynkin graph 15A21 16G20 16G60 |
| format |
Article |
| author |
Bondarenko, Vitaliy M. Tertychna, Olena M. Zubaruk, Olesya V. |
| author_facet |
Bondarenko, Vitaliy M. Tertychna, Olena M. Zubaruk, Olesya V. |
| author_sort |
Bondarenko, Vitaliy M. |
| title |
On classification of pairs of potent linear operators with the simplest annihilation condition |
| title_short |
On classification of pairs of potent linear operators with the simplest annihilation condition |
| title_full |
On classification of pairs of potent linear operators with the simplest annihilation condition |
| title_fullStr |
On classification of pairs of potent linear operators with the simplest annihilation condition |
| title_full_unstemmed |
On classification of pairs of potent linear operators with the simplest annihilation condition |
| title_sort |
on classification of pairs of potent linear operators with the simplest annihilation condition |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2016 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/170 |
| work_keys_str_mv |
AT bondarenkovitaliym onclassificationofpairsofpotentlinearoperatorswiththesimplestannihilationcondition AT tertychnaolenam onclassificationofpairsofpotentlinearoperatorswiththesimplestannihilationcondition AT zubarukolesyav onclassificationofpairsofpotentlinearoperatorswiththesimplestannihilationcondition |
| first_indexed |
2025-12-02T15:25:49Z |
| last_indexed |
2025-12-02T15:25:49Z |
| _version_ |
1850411847609483264 |