Generalized Specker lattice-ordered groups and two types of distributivity

Rok, strany: 2013, 5 - 12

Let $A$ be a lattice-ordered group, $\mathcal{B}$ a generalized Boolean algebra. The Boolean extension $A_\mathcal{B}$ of $A$ has been investigated in the literature; we will refer to $A_\mathcal{B}$ as a generalized Specker lattice-ordered group (namely, if $A$ is the linearly ordered group of all integers, then $A_\mathcal{B}$ is a Specker lattice-ordered group). The paper establishes that some distributivity laws extend from $A_\mathcal{B}$ to both $A$ and $\mathcal{B}$, and (under certain circumstances) also conversely.

ISO 690:

Jakubík, J., Lihová, J. 2013. Generalized Specker lattice-ordered groups and two types of distributivity. In Mathematica Slovaca, vol. 63, no.1, pp. 5-12. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0077-y

APA:

Jakubík, J., Lihová, J. (2013). Generalized Specker lattice-ordered groups and two types of distributivity. Mathematica Slovaca, 63(1), 5-12. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0077-y