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UNJ-Rings

Kosan, M. Tamer; Truong Cong Quynh; Zemlicka, Jan


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{
  "DOI": "10.1142/S0219498820501704", 
  "abstract": "In analogy to the elementwise definitions of UU- and UJ-rings, a ring R is called UNJ if 1 + N(R) + J(R) = U(R). After presenting several characterizations and properties, we consider the UNJ-rings within many well-studied classes of rings. In particular, we examine Dedekind finite rings, 2-primal rings, (semi)regular rings, pi-regular rings and rings that satisfy the identity x(2) = x. Finally, we conclude this paper with group UNJ-rings.", 
  "author": [
    {
      "family": "Kosan", 
      "given": " M. Tamer"
    }, 
    {
      "family": "Truong Cong Quynh"
    }, 
    {
      "family": "Zemlicka", 
      "given": " Jan"
    }
  ], 
  "container_title": "JOURNAL OF ALGEBRA AND ITS APPLICATIONS", 
  "id": "9047", 
  "issue": "9", 
  "issued": {
    "date-parts": [
      [
        2020, 
        1, 
        1
      ]
    ]
  }, 
  "title": "UNJ-Rings", 
  "type": "article-journal", 
  "volume": "19"
}
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