On a type of distributivity of lattice ordered groups

In: Mathematica Slovaca, vol. 64, no. 2

Ján Jakubík

Detaily:

Rok, strany: 2014, 281 - 286

Kľúčové slová:

Boolean algebra, lattice ordered group, rm-distributivity, radical class, completeness, lateral completeness

DOI: https://doi.org/10.2478/s12175-014-0202-1

O článku:

Let $\frak m$ be an infinite cardinal. Inspired by a result of Sikorski on $\frak m$-representability of Boolean algebras, we introduce the notion of $r_\frak m$-distributive lattice ordered group. We prove that the collection of all such lattice ordered groups is a radical class. Using the mentioned notion, we define and investigate a homogeneity condition for lattice ordered groups.

Ako citovať:

ISO 690:

Jakubík, J. 2014. On a type of distributivity of lattice ordered groups. In Mathematica Slovaca, vol. 64, no.2, pp. 281-286. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0202-1

APA:

Jakubík, J. (2014). On a type of distributivity of lattice ordered groups. Mathematica Slovaca, 64(2), 281-286. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0202-1

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