Abstract:
Investigations of the participants of the seminar on ordered groups and fields since 1980 developed along the following lines: theory of cuts in the linearly ordered fields, $n$-dimensionally ordered groups, in particularly, two-ordered groups, cyclic ordered groups, two-dimensionally ordered fields and infinitely narrow fields. The Paper contains a review of results, obtained by the seminar's participants.
Keywords:linearly ordered groups, two-dimensionally ordered fields, cyclic ordered groups, the upper cone, the right cone.