Maximal inverse subsemigroups of S(X)
1983 ◽
Vol 24
(1)
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pp. 53-64
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Keyword(s):
If X is a topological space then S(X) will denote the semigroup, under composition, of all continuous functions from X into X. An element f in a semigroup is regular if there is an element g such that fgf = f. The regular elements of S(X) will be denoted by R(X). Elements f and g are inverses of each other if fgf = f and gfg = g. Every regular element has an inverse [1]. If every element in a semigroup has a unique inverse then the semigroup is an inverse semigroup. In this paper we examine maximal inverse subsemigroups of S(X).
2021 ◽
Vol 78
(1)
◽
pp. 199-214
Keyword(s):
1978 ◽
Vol 25
(1)
◽
pp. 45-65
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1964 ◽
Vol 60
(2)
◽
pp. 205-207
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1977 ◽
Vol 18
(2)
◽
pp. 199-207
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1972 ◽
Vol 24
(4)
◽
pp. 598-611
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1978 ◽
Vol 26
(4)
◽
pp. 453-464
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Keyword(s):
Keyword(s):