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?-endo Baer modules

Birkenmeier, Gary F.; Kara, Yeliz; Tercan, Adnan


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{
  "DOI": "10.1080/00927872.2019.1677690", 
  "abstract": "Let N be a submodule of a right R-module M-R, and Then N is said to be projection invariant in M, denoted by if for all We call M-R ?-endo Baer, denoted ?-e.Baer, if for each there exists such that where denotes the left annihilator of N in H. We show that this class of modules lies strictly between the classes of Baer and quasi-Baer modules introduced in 2004 by Rizvi and Roman. Several structural properties are developed. In contrast to the Baer modules of Rizvi and Roman, the free modules of a Baer ring are ?-e.Baer. Moreover, (co-) nonsingularity conditions are introduced which enable us to extend the Chatters-Khuri result (connecting the extending and Baer conditions in a ring) to modules. We provide examples to illustrate and delimit our results.", 
  "author": [
    {
      "family": "Birkenmeier", 
      "given": " Gary F."
    }, 
    {
      "family": "Kara", 
      "given": " Yeliz"
    }, 
    {
      "family": "Tercan", 
      "given": " Adnan"
    }
  ], 
  "container_title": "COMMUNICATIONS IN ALGEBRA", 
  "id": "11681", 
  "issue": "3", 
  "issued": {
    "date-parts": [
      [
        2020, 
        1, 
        1
      ]
    ]
  }, 
  "page": "1132-1149", 
  "title": "?-endo Baer modules", 
  "type": "article-journal", 
  "volume": "48"
}
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