Local MV-algebras (Q1329606)
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scientific article; zbMATH DE number 604865
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local MV-algebras |
scientific article; zbMATH DE number 604865 |
Statements
Local MV-algebras (English)
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22 August 1994
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A classification of local MV-algebras is obtained. Specifically, these are either locally finite, perfect, or neither. An MV-algebra is local if and only if it has a unique maximal ideal. For a totally ordered MV- algebra \(T\), a necessary and sufficient condition for \(T/\text{Rad }T\) to be a retract of \(T\) is obtained.
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locally finite MV-algebras
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perfect MV-algebras
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local MV-algebras
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retract
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