Nilpotent elements of residuated lattices (Q1925564)
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scientific article; zbMATH DE number 6116548
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nilpotent elements of residuated lattices |
scientific article; zbMATH DE number 6116548 |
Statements
Nilpotent elements of residuated lattices (English)
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18 December 2012
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Summary: Some properties of the nilpotent elements of a residuated lattice are studied. The concept of cyclic residuated lattices is introduced, and some related results are obtained. A relation between finite cyclic residuated lattices and simple MV-algebras is obtained. Finally, the notion of nilpotent elements is used to define the radical of a residuated lattice.
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