Commutativity preservers via maximal centralizers

Gregor Dolinar; Alexander Guterman; Bojan Kuzma; Polona Oblak

doi:10.5486/PMD.2014.5775

Commutativity preservers via maximal centralizers

Gregor Dolinar, Alexander Guterman, Bojan Kuzma, Polona Oblak

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Bijective maps on matrices over arbitrary fields with suffciently may elements which preserve commutativity in both direction are classified.

Original language	English
Pages (from-to)	439-450
Number of pages	12
Journal	Publicationes Mathematicae Debrecen
Volume	84
Issue number	3-4
DOIs	https://doi.org/10.5486/PMD.2014.5775
State	Published - 2014
Externally published	Yes

Funding

Funders	Funder number
Russian Foundation for Basic Research	11-01-00794-a

Keywords

Centralizers
General preservers of commutativity
Matrix algebra

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10.5486/PMD.2014.5775

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title = "Commutativity preservers via maximal centralizers",

abstract = "Bijective maps on matrices over arbitrary fields with suffciently may elements which preserve commutativity in both direction are classified.",

keywords = "Centralizers, General preservers of commutativity, Matrix algebra",

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AU - Guterman, Alexander

AU - Kuzma, Bojan

AU - Oblak, Polona

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KW - General preservers of commutativity

KW - Matrix algebra

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Commutativity preservers via maximal centralizers

Abstract

Funding

Keywords

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