Affiliation:
1. Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, Košice, Slovakia
Abstract
Abstract
Let A be a lattice-ordered group, B a generalized Boolean algebra. The Boolean extension A
B of A has been investigated in the literature; we will refer to A
B as a generalized Specker lattice-ordered group (namely, if A is the linearly ordered group of all integers, then A
B is a Specker lattice-ordered group). The paper establishes that some distributivity laws extend from A
B to both A and B, and (under certain circumstances) also conversely.
Cited by
1 articles.
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