1 Ocak 2023 Dergi makalesi Açık Erişim

Calci, Mete Burak; Chen, Huanyin; Halicioglu, Sait

Citation Style Language JSON

{
  "DOI": "10.21136/MB.2023.0034-221", 
  "abstract": "<p>We introduce a class of rings which is a generalization of reflexive rings and J-reversible rings. Let R be a ring with identity and J(R) denote the Jacobson radical of R. A ring R is called J-reflexive if for any a, b is an element of R, aRb = 0 implies bRa subset of J(R). We give some characterizations of a J-reflexive ring. We prove that some results of reflexive rings can be extended to J-reflexive rings for this general setting. We conclude some relations between J-reflexive rings and some related rings. We investigate some extensions of a ring which satisfies the J-reflexive property and we show that the J-reflexive property is Morita invariant.</p>", 
  "author": [
    {
      "family": "Calci", 
      "given": " Mete Burak"
    }, 
    {
      "family": "Chen", 
      "given": " Huanyin"
    }, 
    {
      "family": "Halicioglu", 
      "given": " Sait"
    }
  ], 
  "container_title": "MATHEMATICA BOHEMICA", 
  "id": "265186", 
  "issued": {
    "date-parts": [
      [
        2023, 
        1, 
        1
      ]
    ]
  }, 
  "page": "11", 
  "title": "A GENERALIZATION OF REFLEXIVE RINGS", 
  "type": "article-journal"
}