The Archimedean property in an ordered semigroup
1968 ◽
Vol 8
(3)
◽
pp. 547-556
◽
Keyword(s):
By an ordered semigroup we mean a semigroup with a simple order which is compatible with the semigroup operation. Several authors, for example Alimov [1], Clifford [2], Conrad [4] and Hion [7], studied the archimedean property in some special kinds of ordered semigroups. For a general ordered semigroup, Fuchs [6] defined the archimedean equivalence as follows: a ~ b if and only if one of the four conditionsholds for some positive integer n.
1961 ◽
Vol 5
(1)
◽
pp. 35-40
◽
1955 ◽
Vol 7
◽
pp. 347-357
◽
1968 ◽
Vol 9
(2)
◽
pp. 146-151
◽
1953 ◽
Vol 1
(3)
◽
pp. 119-120
◽
1963 ◽
Vol 6
(2)
◽
pp. 70-74
◽
1964 ◽
Vol 16
◽
pp. 94-97
◽
1949 ◽
Vol 1
(1)
◽
pp. 48-56
◽
1966 ◽
Vol 18
◽
pp. 621-628
◽
1962 ◽
Vol 14
◽
pp. 565-567
◽
Keyword(s):
1981 ◽
Vol 33
(3)
◽
pp. 606-617
◽