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

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

Keywords

Centralizers
General preservers of commutativity
Matrix algebra

All Science Journal Classification (ASJC) codes

General Mathematics

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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",

author = "Gregor Dolinar and Alexander Guterman and Bojan Kuzma and Polona Oblak",

year = "2014",

doi = "10.5486/pmd.2014.5775",

language = "الإنجليزيّة",

volume = "84",

pages = "439--450",

journal = "Publicationes Mathematicae Debrecen",

issn = "0033-3883",

publisher = "University of Debrecen, Institute of Mathematics",

number = "3-4",

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T1 - Commutativity preservers via maximal centralizers

AU - Dolinar, Gregor

AU - Guterman, Alexander

AU - Kuzma, Bojan

AU - Oblak, Polona

PY - 2014

Y1 - 2014

N2 - Bijective maps on matrices over arbitrary fields with suffciently may elements which preserve commutativity in both direction are classified.

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

KW - Centralizers

KW - General preservers of commutativity

KW - Matrix algebra

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U2 - 10.5486/pmd.2014.5775

DO - 10.5486/pmd.2014.5775

M3 - مقالة

SN - 0033-3883

VL - 84

SP - 439

EP - 450

JO - Publicationes Mathematicae Debrecen

JF - Publicationes Mathematicae Debrecen

IS - 3-4

ER -

Commutativity preservers via maximal centralizers

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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