Near approximations in rings

Bijan Davvaz; Dian Winda Setyawati; Imam Mukhlash

doi:10.1007/s00200-020-00421-3

Near approximations in rings

Bijan Davvaz^*, Soleha, Dian Winda Setyawati, Imam Mukhlash, Rinurwati

^*Corresponding author for this work

Yazd University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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).

Original language	English
Pages (from-to)	701-721
Number of pages	21
Journal	Applicable Algebra in Engineering, Communications and Computing
Volume	32
Issue number	6
DOIs	https://doi.org/10.1007/s00200-020-00421-3
Publication status	Published - Dec 2021

Keywords

Ideal
Lower and upper approximations
Near set
Ring
Rough set

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10.1007/s00200-020-00421-3

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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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author = "Bijan Davvaz and Soleha and Setyawati, {Dian Winda} and Imam Mukhlash and Rinurwati",

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T1 - Near approximations in rings

AU - Davvaz, Bijan

AU - Soleha,

AU - Setyawati, Dian Winda

AU - Mukhlash, Imam

AU - Rinurwati,

PY - 2021/12

Y1 - 2021/12

N2 - 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).

AB - 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).

KW - Ideal

KW - Lower and upper approximations

KW - Near set

KW - Ring

KW - Rough set

UR - http://www.scopus.com/inward/record.url?scp=85081721194&partnerID=8YFLogxK

U2 - 10.1007/s00200-020-00421-3

DO - 10.1007/s00200-020-00421-3

M3 - Article

AN - SCOPUS:85081721194

SN - 0938-1279

VL - 32

SP - 701

EP - 721

JO - Applicable Algebra in Engineering, Communications and Computing

JF - Applicable Algebra in Engineering, Communications and Computing

IS - 6

ER -

Near approximations in rings

Abstract

Keywords

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