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Properties of core-EP order in rings with involution

Dolinar, Gregor; Kuzma, Bojan; Marovt, Janko; Ungor, Burcu


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{
  "DOI": "10.1007/s11464-019-0782-8", 
  "abstract": "We study properties of a relation in *-rings, called the core-EP (pre)order which was introduced by H. Wang on the set of all n x n complex matrices [Linear Algebra Appl., 2016, 508: 289-300] and has been recently generalized by Y. Gao, J. Chen, and Y. Ke to *-rings [Filomat, 2018, 32: 3073-3085]. We present new characterizations of the core-EP order in *-rings with identity and introduce the notions of the dual core-EP decomposition and the dual core-EP order in *-rings.", 
  "author": [
    {
      "family": "Dolinar", 
      "given": " Gregor"
    }, 
    {
      "family": "Kuzma", 
      "given": " Bojan"
    }, 
    {
      "family": "Marovt", 
      "given": " Janko"
    }, 
    {
      "family": "Ungor", 
      "given": " Burcu"
    }
  ], 
  "container_title": "FRONTIERS OF MATHEMATICS IN CHINA", 
  "id": "69847", 
  "issue": "4", 
  "issued": {
    "date-parts": [
      [
        2019, 
        1, 
        1
      ]
    ]
  }, 
  "page": "715-736", 
  "title": "Properties of core-EP order in rings with involution", 
  "type": "article-journal", 
  "volume": "14"
}
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