Relative subalgebras of MV-algebras
Given an MV-algebra A, with its natural partial ordering, we consider in A the intervals of the form [0, a], where a ∈ A . These intervals have a natural structure of MV-algebras and will be called the relative subalgebras of A (in analogy with Boolean algebras). We investigate various properties of...
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| Veröffentlicht in: | Algebra universalis 2017-06, Vol.77 (3), p.345-360 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | Given an MV-algebra A, with its natural partial ordering, we consider in A the intervals of the form [0, a], where
a
∈
A
. These intervals have a natural structure of MV-algebras and will be called the relative subalgebras of A (in analogy with Boolean algebras). We investigate various properties of relative subalgebras and their relations with the original MV-algebra. |
|---|---|
| ISSN: | 0002-5240 1420-8911 |
| DOI: | 10.1007/s00012-017-0435-2 |