On classification of pairs of potent linear operators with the simplest annihilation condition
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Date
2016
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Інститут прикладної математики і механіки НАН України, Луганський національний університет імені Тараса Шевченка
Abstract
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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Citation
Bondarenko V. M. On classification of pairs of potent linear operators with the simplest annihilation condition / Vitaliy M. Bondarenko, Olena M. Tertychna, Olesya V. Zubaruk // Algebra and Discrete Mathematics. – 2016. – Vol. 21, № 1. – P. 18–23.