\(\mathcal N\)-structures applied to closed ideals in BCH-algebras (Q963576)
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scientific article; zbMATH DE number 5695268
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\mathcal N\)-structures applied to closed ideals in BCH-algebras |
scientific article; zbMATH DE number 5695268 |
Statements
\(\mathcal N\)-structures applied to closed ideals in BCH-algebras (English)
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20 April 2010
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Summary: The notions of \(\mathcal N\)-subalgebras and \(\mathcal N\)-closed ideals in BCH-algebras are introduced, and the relation between \(\mathcal N\)-subalgebras and \(\mathcal N\)-closed ideals is considered. Characterizations of \(\mathcal N\)-subalgebras and \(\mathcal N\)-closed ideals are provided. Using special subsets, \(\mathcal N\)-subalgebras and \(\mathcal N\)-closed ideals are constructed. A condition for an \(\mathcal N\)-subalgebra to be an \(\mathcal N\)-closed ideal is discussed. Given an \(\mathcal N\)-structure, the greatest \(\mathcal N\)-closed ideal which is contained in the \(\mathcal N\)-structure is established.
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