Periodic BCI-algebras and subgroups of adjoint monoids of BCI-algebras (Q1281609)
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scientific article; zbMATH DE number 1268028
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic BCI-algebras and subgroups of adjoint monoids of BCI-algebras |
scientific article; zbMATH DE number 1268028 |
Statements
Periodic BCI-algebras and subgroups of adjoint monoids of BCI-algebras (English)
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7 July 1999
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Let \((X,\cdot,0)\) be a BCI-algebra. The set \(M(X)\) of all finite compositions of right shifts \(\rho_{a}(x)=xa\) is a commutative monoid with the unit \(\rho_{0}\). It is proved that there is a bijection from p-semisimple closed ideals of a BCI-algebra \(X\) to subgroups of \(M(X)\).
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periodic BCI-algebra
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p-semisimple BCI-algebra
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pomonoid
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p-semisimple closed ideals
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monoid of shifts
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