On classification of pairs of potent linear operators with the simplest annihilation condition
We study the problem of classifying the pairs of linear operators A,B (acting on the same vector space), when the both operators are potent and AB=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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155201 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On classification of pairs of potent linear operators with the simplest annihilation condition / V.M. Bondarenko, O.M. Tertychna, O.V. Zubaruk // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 18-23. — Бібліогр.: 5 назв. — англ. |
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Bondarenko, V.M. Tertychna, O.M. Zubaruk, O.V. 2019-06-16T10:49:33Z 2019-06-16T10:49:33Z 2016 On classification of pairs of potent linear operators with the simplest annihilation condition / V.M. Bondarenko, O.M. Tertychna, O.V. Zubaruk // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 18-23. — Бібліогр.: 5 назв. — англ. 1726-3255 2010 MSC:15A21, 16G20, 16G60. https://nasplib.isofts.kiev.ua/handle/123456789/155201 We study the problem of classifying the pairs of linear operators A,B (acting on the same vector space), when the both operators are potent and AB=0. We describe the finite, tame and wild cases and classify the indecomposable pairs of operators in the first two of them. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On classification of pairs of potent linear operators with the simplest annihilation condition Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On classification of pairs of potent linear operators with the simplest annihilation condition |
| spellingShingle |
On classification of pairs of potent linear operators with the simplest annihilation condition Bondarenko, V.M. Tertychna, O.M. Zubaruk, O.V. |
| 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 |
| author |
Bondarenko, V.M. Tertychna, O.M. Zubaruk, O.V. |
| author_facet |
Bondarenko, V.M. Tertychna, O.M. Zubaruk, O.V. |
| publishDate |
2016 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
We study the problem of classifying the pairs of linear operators A,B (acting on the same vector space), when the both operators are potent and AB=0. We describe the finite, tame and wild cases and classify the indecomposable pairs of operators in the first two of them.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155201 |
| citation_txt |
On classification of pairs of potent linear operators with the simplest annihilation condition / V.M. Bondarenko, O.M. Tertychna, O.V. Zubaruk // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 18-23. — Бібліогр.: 5 назв. — англ. |
| work_keys_str_mv |
AT bondarenkovm onclassificationofpairsofpotentlinearoperatorswiththesimplestannihilationcondition AT tertychnaom onclassificationofpairsofpotentlinearoperatorswiththesimplestannihilationcondition AT zubarukov onclassificationofpairsofpotentlinearoperatorswiththesimplestannihilationcondition |
| first_indexed |
2025-12-07T18:30:00Z |
| last_indexed |
2025-12-07T18:30:00Z |
| _version_ |
1850875262106861568 |