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Applicable Algebra in Engineering, Communication and Computing

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09.03.2020 | Original Paper

Near approximations in rings

verfasst von: Bijan Davvaz, Soleha, Dian Winda Setyawati, Imam Mukhlash, Rinurwati

Erschienen in: Applicable Algebra in Engineering, Communication and Computing | Ausgabe 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).

Vorheriger Artikel On the security of the modified Dual-ouroboros PKE using Gabidulin codes

Nächster Artikel On the error-detecting capability of the linear quasigroup code

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Titel: Near approximations in rings
verfasst von: Bijan Davvaz
Soleha
Dian Winda Setyawati
Imam Mukhlash
Rinurwati
Publikationsdatum: 09.03.2020
Verlag: Springer Berlin Heidelberg
Erschienen in: Applicable Algebra in Engineering, Communication and Computing / Ausgabe 6/2021
Print ISSN: 0938-1279
Elektronische ISSN: 1432-0622
DOI: https://doi.org/10.1007/s00200-020-00421-3

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