Construction of existentially closed Abelian lattice-ordered groups using upper extensions
Sign Up to like & getrecommendations! Published in 2018 at "Algebra universalis"
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
Toolbox for Abelian lattice gauge theories with synthetic matter
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DOI: 10.1103/physreva.95.053608
Abstract: Fundamental forces of Nature are described by field theories, also known as gauge theories, based on a local gauge invariance. The simplest of them is quantum electrodynamics (QED), which is an example of an Abelian… read more here.
Keywords: gauge; matter; abelian gauge; toolbox abelian ... See more keywords