On classification of pairs of potent linear operators with the simplest annihilation condition

• Published in: Algebra and Discrete Mathematics
• Date: 2016
• Main Authors: Bondarenko, V.M., Tertychna, O.M., Zubaruk, O.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155201
• 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.

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.