2 Citations (Scopus)


This paper is a continuation of ideas presented by Bagirmaz (Appl Algebra Eng Commun Comput 30(4):285–297, 2019). Indeed, we introduce the notion of near approximations in a ring, which is an extended notion of a rough approximations in a ring. Then we define lower and upper near subrings based on ideals in a ring and give some properties of such subrings. Furthermore, we obtain a comparison between these types of approximations and the approximations introduced by Davvaz (Inf Sci 176:2417–2437, 2006).

Original languageEnglish
Pages (from-to)701-721
Number of pages21
JournalApplicable Algebra in Engineering, Communications and Computing
Issue number6
Publication statusPublished - Dec 2021


  • Ideal
  • Lower and upper approximations
  • Near set
  • Ring
  • Rough set


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