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 a...

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2012-01, Vol.2012, p.290-302-220
Hauptverfasser: Jun, Young Bae, Lee, Kyoung Ja, Kang, Min Su
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2012/910450