Abstract
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 ).
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