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Relative MV-algebras and relative homomorphisms

In: Mathematica Slovaca, vol. 60, no. 1
Antonio Di Nola - Ada Lettieri
Detaily:
Rok, strany: 2010, 43 - 64
Kľúčové slová:
MV-algebra, relative subalgebra, relative homomorphism
O článku:
In this paper we define the notion of relative subalgebra of an \mbox{MV-algebra $A$. A particular case of this notion is the notion of interval subalgebra of $A$; this has been already studied in the literature. Applying these notions, two new categories denoted as $r\mathcal{MV}$ and $int\mathcal{MV}$ are introduced. In both cases the objects are MV-algebras, but the homomorphisms are defined by means of relative subalgebras or by interval subalgebras, respectively. The relations occurring between these categories and the category of all MV-algebras with usual homomorphisms are investigated. The main results of the paper deal with one-generated free MV-algebras in the variety generated by the finite chains $Si$, $i\leqslant p$ ($p$ varying over the set of all positive integers) and their relations to certain relative subalgebras of the cyclic free MV-algebra.
Ako citovať:
ISO 690:
Di Nola, A., Lettieri, A. 2010. Relative MV-algebras and relative homomorphisms. In Mathematica Slovaca, vol. 60, no.1, pp. 43-64. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0166-8

APA:
Di Nola, A., Lettieri, A. (2010). Relative MV-algebras and relative homomorphisms. Mathematica Slovaca, 60(1), 43-64. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0166-8
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