Distinguished completion of a direct product of lattice ordered groups

Title:

Distinguished completion of a direct product of lattice ordered groups

Creator:

Jakubík, Ján

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:69f4817f-c4c3-43dd-8c06-319d5d4b6fee
uuid:69f4817f-c4c3-43dd-8c06-319d5d4b6fee

Subject:

lattice ordered group, distinguished completion, and direct product

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The distinguished completion $E(G)$ of a lattice ordered group $G$ was investigated by Ball [1], [2], [3]. An analogous notion for $MV$-algebras was dealt with by the author [7]. In the present paper we prove that if a lattice ordered group $G$ is a direct product of lattice ordered groups $G_i$ $(i\in I)$, then $E(G)$ is a direct product of the lattice ordered groups $E(G_i)$. From this we obtain a generalization of a result of Ball [3].

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

661-671

Source:

Czechoslovak Mathematical Journal | 2001 Volume:51 | Number:3

Harvested from:

CDK

Metadata only:

false