A radical approach in BCI-algebras (Q1964720)
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scientific article; zbMATH DE number 1406408
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A radical approach in BCI-algebras |
scientific article; zbMATH DE number 1406408 |
Statements
A radical approach in BCI-algebras (English)
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7 November 2000
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Let \(S\) be a non-empty subset of a BCI-algebra \(X\). In this paper the authors consider \(\root k\of{S}=\{x\in X\mid 0*x^k\in S\}\), which is called the \(k\)-radial of \(S\) in \(X\) for any positive integer \(k\), and investigate some properties of \(k\)-radicals. Also, the authors introduce the concept of \(k\)-semiprime ideals.
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subalgebra
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\(k\)-radical
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\(k\)-semiprime ideals
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BCI-algebra
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