A note on simple BCI-algebras (Q2765948)
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scientific article; zbMATH DE number 1695212
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on simple BCI-algebras |
scientific article; zbMATH DE number 1695212 |
Statements
3 November 2002
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simple BCI-algebra
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A note on simple BCI-algebras (English)
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The authors' main result is the following. A BCI-algebra \(X\) is simple if and only if its subalgebras are all simple. But this is obvious since each ideal \(I\) of a subalgebra \(A\) is the intersection of \(J\) and \(A\), where \(J\) is the ideal of \(X\) generated by \(I\). They also obtain other results on simple BCI-algebras.
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