Subdirect decompositions and the radical of a generalized Boolean algebra extension of a lattice ordered group

Title:

Subdirect decompositions and the radical of a generalized Boolean algebra extension of a lattice ordered group

Creator:

Jakubík, Ján

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ed98dcd6-52c0-4082-bae5-6f5ff620f034
uuid:ed98dcd6-52c0-4082-bae5-6f5ff620f034

Subject:

lattice ordered group, generalized Boolean algebra, extension, vector lattice, subdirect decomposition, value, and radical

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The extension of a lattice ordered group $A$ by a generalized Boolean algebra $B$ will be denoted by $A_B$. In this paper we apply subdirect decompositions of $A_B$ for dealing with a question proposed by Conrad and Darnel. Further, in the case when $A$ is linearly ordered we investigate (i) the completely subdirect decompositions of $A_B$ and those of $B$, and (ii) the values of elements of $A_B$ and the radical $R(A_B)$.

Language:

English

Rights:

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

Coverage:

733-754

Source:

Czechoslovak Mathematical Journal | 2006 Volume:56 | Number:2

Harvested from:

CDK

Metadata only:

false