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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2016 |
| ISSN: | 1726-3255 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155201 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862721281057619968 |
|---|---|
| author | Bondarenko, V.M. Tertychna, O.M. Zubaruk, O.V. |
| author_facet | Bondarenko, V.M. Tertychna, O.M. Zubaruk, O.V. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T18:30:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155201 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:30:00Z |
| publishDate | 2016 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | On classification of pairs of potent linear operators with the simplest annihilation condition Bondarenko, V.M. Tertychna, O.M. Zubaruk, O.V. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155201 |
| work_keys_str_mv | AT bondarenkovm onclassificationofpairsofpotentlinearoperatorswiththesimplestannihilationcondition AT tertychnaom onclassificationofpairsofpotentlinearoperatorswiththesimplestannihilationcondition AT zubarukov onclassificationofpairsofpotentlinearoperatorswiththesimplestannihilationcondition |