Non-amalgamation of ordered groups
1984 ◽
Vol 95
(2)
◽
pp. 191-195
◽
An ordered group (o-group for short) is a group endowed with a linear (i.e. total) order such that for all x, y, z, xz ≤ yz and zx ≤ zy whenever x ≤ y. A group for which such an order exists is called an orderable group. A group G is said to be divisible if for each positive integer m and each g ε G, there is x ε G such that xm = g.
1987 ◽
Vol 102
(2)
◽
pp. 281-295
Keyword(s):
Keyword(s):
1975 ◽
Vol 12
(3)
◽
pp. 321-335
◽
Keyword(s):
1971 ◽
Vol 5
(3)
◽
pp. 331-335
◽
Keyword(s):
1973 ◽
Vol 18
(3)
◽
pp. 239-246
1969 ◽
Vol 21
◽
pp. 1004-1012
◽
Keyword(s):
1972 ◽
Vol 13
(2)
◽
pp. 224-240
◽
1972 ◽
Vol 6
(3)
◽
pp. 435-438
◽
Keyword(s):