Abstract
Given an MV-algebra A, with its natural partial ordering, we consider in A the intervals of the form [0, a], where \({a \in A}\). 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.
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Presented by S. Pulmannova.
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Belluce, L.P., Di Nola, A. & Lenzi, G. Relative subalgebras of MV-algebras. Algebra Univers. 77, 345–360 (2017). https://doi.org/10.1007/s00012-017-0435-2
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DOI: https://doi.org/10.1007/s00012-017-0435-2