Work

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

Year: 2016

Type: article

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.

Source: The scientific electronic library of periodicals of the National Academy of Sciences of Ukraine (National Academy of Sciences of Ukraine)

Authors: Vitaliy M. Bondarenko, Olena M. Tertychna, О. В. Зубарук

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2369984626

FWCI: 0.999

Cites: 4

Cited by: 8

Related to: 10