Ideal theory in BCK/BCI-algebras based on soft sets and \(\mathcal N\)-structures
type: Item
instance of: scholarly article
title: Ideal theory in BCK/BCI-algebras based on soft sets and \(\mathcal N\)-structures
zbMATH Open document ID: 1247.06015
DOI: 10.1155/2012/910450
author: Kyoung Ja Lee
author: Min Su Kang
author: Young Bae Jun
published in: Discrete Dynamics in Nature and Society
publication date: 2012-08-14T00:00:00Z
review text: Summary: Based on soft sets and \(\mathcal N\)-structures, the notion of (closed) \(\mathcal N\)-ideal over a BCI-algebra is introduced, and related properties are investigated. Relations between \(\mathcal N\)-BCI-algebras and \(\mathcal N\)-ideals are established. Characterizations of a (closed) \(\mathcal N\)-ideal over a BCI-algebra are provided. Conditions for an \(\mathcal N\)-ideal to be an \(\mathcal N\)-BCI-algebra are considered.
Mathematics Subject Classification ID: 06F35
zbMATH DE Number: 6065456
zbMATH Keywords: soft sets
zbMATH Keywords: ideal
zbMATH Keywords: BCI-algebra
Wikidata QID: Q58700846
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/910450
OpenAlex ID: W1981523482
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description: scientific article; zbMATH DE number 6065456