Abstract. 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.
Relative subalgebras of MV-algebras
DI NOLA, Antonio;LENZI, Giacomo
2017-01-01
Abstract
Abstract. 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.File in questo prodotto:
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