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Published in: Applicable Algebra in Engineering, Communication and Computing 6/2021

09-03-2020 | Original Paper

Near approximations in rings

Authors: Bijan Davvaz, Soleha, Dian Winda Setyawati, Imam Mukhlash, Rinurwati

Published in: Applicable Algebra in Engineering, Communication and Computing | Issue 6/2021

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Abstract

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).

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Metadata
Title
Near approximations in rings
Authors
Bijan Davvaz
Soleha
Dian Winda Setyawati
Imam Mukhlash
Rinurwati
Publication date
09-03-2020
Publisher
Springer Berlin Heidelberg
Published in
Applicable Algebra in Engineering, Communication and Computing / Issue 6/2021
Print ISSN: 0938-1279
Electronic ISSN: 1432-0622
DOI
https://doi.org/10.1007/s00200-020-00421-3

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