The notion of an extension is important in the study of partially ordered groups. In the present paper the notion of a lexicographic extension of a partially ordered group by an AO-group is studied. A result is obtained concerning an AO-group G which is a lexicographic extension of a directed subgroup of G.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 9, No. 1, pp. 277–281, 2003.
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Shirshova, E.E. On Extensions of AO-Groups. J Math Sci 128, 3513–3515 (2005). https://doi.org/10.1007/s10958-005-0287-8
- Directed Subgroup
- Lexicographic Extension