On the Foundation of Orders in Groups
Shin-ichi Matsushita · Osaka City University (Osaka City University) · 1951
Orderd groups, or o-groups, have been studied by G. Birkhoff, A. H. Clifford, H. Cartan, T. Nakayama, C. J. Everett and S. Ulam, J. von Neuman and others, while lattice ordered groups, or l-groups, also discussed by many mathematicians, G. Birkhoff and others. The present work is to establish the structure or order-buds (cf. below) in groups....