𝒩-Structures Applied to Closed Ideals in BCH-Algebras
The notions of 𝒩-subalgebras and 𝒩-closed ideals in BCH-algebras are introduced, and the relation between 𝒩-subalgebras and 𝒩-closed ideals is considered. Characterizations of 𝒩-subalgebras and 𝒩-closed ideals are provided. Us...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/943565 |
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| Summary: | The notions of 𝒩-subalgebras and 𝒩-closed ideals in BCH-algebras are introduced, and the relation between 𝒩-subalgebras
and 𝒩-closed ideals is considered.
Characterizations of 𝒩-subalgebras and 𝒩-closed ideals are provided. Using special subsets, 𝒩-subalgebras and
𝒩-closed ideals are constructed.
A condition for an 𝒩-subalgebra to be an
𝒩-closed ideal is discussed. Given an 𝒩-structure,
the greatest 𝒩-closed ideal which is contained in the 𝒩-structure is established. |
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| ISSN: | 0161-1712 1687-0425 |