Geodesic
Subdirect decompositions and the radical of a generalized Boolean algebra extension of a lattice ordered group
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 733-754

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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 $R(A_B)$.
Classification : 06F15, 06F20
Keywords: lattice ordered group; generalized Boolean algebra; extension; vector lattice; subdirect decomposition; value; radical 
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     author = {Jakub{\'\i}k, J\'an},
     title = {Subdirect decompositions and the radical of a generalized {Boolean} algebra extension of a lattice ordered group},
     journal = {Czechoslovak Mathematical Journal},
     pages = {733--754},
     publisher = {mathdoc},
     volume = {56},
     number = {2},
     year = {2006},
     mrnumber = {2291771},
     zbl = {1164.06328},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006__56_2_a35/}
}
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Jakubík, Ján. Subdirect decompositions and the radical of a generalized Boolean algebra extension of a lattice ordered group. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 733-754. http://geodesic.mathdoc.fr/item/CMJ_2006__56_2_a35/