A topology on arithmetical lattice-ordered groups
Kentaro Murata · Proceedings of the Japan Academy Series A Mathematical Sciences · 1986
The aim o this note is to describe explicitly the weakest topology on an arithmetical lattice-ordered group for which given lattice-ideal is open.This topology is utilized to treat some of ring topologies, field topologies and p-adic topologies.1o A lattice-ordered group (abbr.1.o.group) G=(G,., _) is called arithmetical, i it is a conditionally complete lattice, and a ree group generated by the set P of all prime elements in the cone (integral part) of