Ideal Theory in BCK/BCI-Algebras Based on Soft Sets and 𝒩-Structures
Based on soft sets and 𝒩-structures, the notion of (closed) 𝒩-ideal over a BCI-algebra is introduced, and related properties are investigated. Relations between 𝒩-BCI-algebras and 𝒩-ideals are established. Characterizations of a (closed) 𝒩-ideal over a BCI-algebra are provided. Conditions for an 𝒩-i...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/910450 |
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| author | Young Bae Jun Kyoung Ja Lee Min Su Kang |
| author_facet | Young Bae Jun Kyoung Ja Lee Min Su Kang |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | Based on soft sets and 𝒩-structures, the notion of (closed) 𝒩-ideal over a BCI-algebra is introduced, and related properties are investigated. Relations between 𝒩-BCI-algebras and 𝒩-ideals are established. Characterizations of a (closed) 𝒩-ideal over a BCI-algebra are provided. Conditions for an 𝒩-ideal to be an 𝒩-BCI-algebra are considered. |
| format | Article |
| id | doaj-art-5cd0d400f36048048ccd881ee4cb36b8 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5cd0d400f36048048ccd881ee4cb36b82025-08-20T03:34:13ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/910450910450Ideal Theory in BCK/BCI-Algebras Based on Soft Sets and 𝒩-StructuresYoung Bae Jun0Kyoung Ja Lee1Min Su Kang2Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics Education, Hannam University, Daejeon 306-791, Republic of KoreaDepartment of Mathematics, Hanyang University, Seoul 133-791, Republic of KoreaBased on soft sets and 𝒩-structures, the notion of (closed) 𝒩-ideal over a BCI-algebra is introduced, and related properties are investigated. Relations between 𝒩-BCI-algebras and 𝒩-ideals are established. Characterizations of a (closed) 𝒩-ideal over a BCI-algebra are provided. Conditions for an 𝒩-ideal to be an 𝒩-BCI-algebra are considered.http://dx.doi.org/10.1155/2012/910450 |
| spellingShingle | Young Bae Jun Kyoung Ja Lee Min Su Kang Ideal Theory in BCK/BCI-Algebras Based on Soft Sets and 𝒩-Structures Discrete Dynamics in Nature and Society |
| title | Ideal Theory in BCK/BCI-Algebras Based on Soft Sets and 𝒩-Structures |
| title_full | Ideal Theory in BCK/BCI-Algebras Based on Soft Sets and 𝒩-Structures |
| title_fullStr | Ideal Theory in BCK/BCI-Algebras Based on Soft Sets and 𝒩-Structures |
| title_full_unstemmed | Ideal Theory in BCK/BCI-Algebras Based on Soft Sets and 𝒩-Structures |
| title_short | Ideal Theory in BCK/BCI-Algebras Based on Soft Sets and 𝒩-Structures |
| title_sort | ideal theory in bck bci algebras based on soft sets and 𝒩 structures |
| url | http://dx.doi.org/10.1155/2012/910450 |
| work_keys_str_mv | AT youngbaejun idealtheoryinbckbcialgebrasbasedonsoftsetsandnstructures AT kyoungjalee idealtheoryinbckbcialgebrasbasedonsoftsetsandnstructures AT minsukang idealtheoryinbckbcialgebrasbasedonsoftsetsandnstructures |