Free generators in free inverse semigroups
1972 ◽
Vol 7
(3)
◽
pp. 407-424
◽
Keyword(s):
Using the characterization of the free inverse semigroup F on a set X, given by Scheiblich, a necessary and sufficient condition is found for a subset K of an inverse semigroup S to be a set of free generators for the inverse sub semigroup of S generated by K. It is then shown that any non-idempotent element of F generates the free inverse semigroup on one generator and that if |X| > 2 then F contains the free inverse semigroup on a countable number of generators. In addition, it is shown that if |X| = 1 then F does not contain the free inverse semigroup on two generators.
1973 ◽
Vol 9
(3)
◽
pp. 479-480
◽
2016 ◽
Vol 94
(3)
◽
pp. 457-463
◽
Keyword(s):
1980 ◽
Vol 30
(2)
◽
pp. 157-167
1969 ◽
Vol 9
(1-2)
◽
pp. 29-61
◽
1967 ◽
Vol 67
(3)
◽
pp. 175-184
1977 ◽
Vol 82
(2)
◽
pp. 297-300
◽
1984 ◽
Vol 21
(03)
◽
pp. 654-660
◽
1979 ◽
Vol 28
(1)
◽
pp. 107-119
◽
Keyword(s):