A topology on arithmetical lattice-ordered groups
A lattice ordered group G is called arithmetical, if it is a conditionally complete lattice and the free group generated by the set P of all prime elements in the cone (integral part) of G. There is described the weakest topology on an arithmetical lattice-ordered group for which a given lattice-ideal is open and presented some corollaries, of proved theorems, for some of ring topologies, field topologies and p- adic topologies.
scientific article; zbMATH DE number 3959507