Convex subalgebras of upper bounded $GMV$-algebras

Rok, strany: 2016, 379 - 386

We apply the notion of generalized $MV$-algebra ($GMV$-algebra, for short) in the sense introduced and studied by Galatos and Tsinakis. Let $M$ be an upper bounded $GMV$-algebra. Then $M$ can be constructed by using a pair $(G_1,L)$, where $G_1$ is a lattice ordered group and $L$ is a filter on the lattice $G_1^-$ satisfying certain conditions. In the present paper we deal with the relations between convex subalgebras of $M$ and convex $\ell$-subgroups of $G_1$.

ISO 690:

Jakubík, J. 2016. Convex subalgebras of upper bounded $GMV$-algebras. In Mathematica Slovaca, vol. 66, no.2, pp. 379-386. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0143

APA:

Jakubík, J. (2016). Convex subalgebras of upper bounded $GMV$-algebras. Mathematica Slovaca, 66(2), 379-386. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0143