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Preservers of the left-star and right-star partial orders

Dolinar, Gregor; Halicioglu, Sait; Harmanci, Abdullah; Kuzma, Bojan; Marovt, Janko; Ungor, Burcu


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{
  "DOI": "10.1016/j.laa.2019.11.003", 
  "abstract": "Let M-n(F) be the set of all n x n matrices over the field F, where F = R or F = C. We characterize maps on M-n(F) which are surjective and preserve either the left-star or the right-star order in both directions, but are not necessarily additive. (C) 2019 Elsevier Inc. All rights reserved.", 
  "author": [
    {
      "family": "Dolinar", 
      "given": " Gregor"
    }, 
    {
      "family": "Halicioglu", 
      "given": " Sait"
    }, 
    {
      "family": "Harmanci", 
      "given": " Abdullah"
    }, 
    {
      "family": "Kuzma", 
      "given": " Bojan"
    }, 
    {
      "family": "Marovt", 
      "given": " Janko"
    }, 
    {
      "family": "Ungor", 
      "given": " Burcu"
    }
  ], 
  "container_title": "LINEAR ALGEBRA AND ITS APPLICATIONS", 
  "id": "3815", 
  "issued": {
    "date-parts": [
      [
        2020, 
        1, 
        1
      ]
    ]
  }, 
  "page": "70-91", 
  "title": "Preservers of the left-star and right-star partial orders", 
  "type": "article-journal", 
  "volume": "587"
}
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