Generalized Specker lattice-ordered groups and two types of distributivity |
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| Authors: | Ján Jakubík Judita Lihová |
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| Affiliation: | 1. Mathematical Institute, Slovak Academy of Sciences, Gre?ákova 6, Ko?ice, Slovakia
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| 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. |
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