Construction of existentially closed Abelian lattice-ordered groups using upper extensions
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DOI: 10.1007/s00012-018-0531-y
Abstract: The upper extension construction of Ball, Conrad, and Darnel is used to produce new examples of non-Archimedean existentially closed Abelian lattice-ordered groups and boundedly existentially closed Abelian lattice-ordered groups. Also given are conditions under which… read more here.
Keywords: existentially closed; lattice ordered; abelian lattice; ordered groups ... See more keywords
THE $3k-4$ THEOREM FOR ORDERED GROUPS
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972717000715
Abstract: Recently, Freiman et al. [‘Small doubling in ordered groups’, J. Aust. Math. Soc. 96(3) (2014), 316–325] proved two ‘structure theorems’ for ordered groups. We give elementary proofs of these two theorems. read more here.
Keywords: theorem ordered; ordered groups;