Free completely regular semigroups
1984 ◽
Vol 25
(2)
◽
pp. 241-254
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Keyword(s):
A completely regular semigroup is a semigroup that is a union of groups. The aim here is to provide an alternative characterization of the free completely regular semigroup Fcrx on a set X to that given by J. A. Gerhard in [3, 4].Although the structure theory for completely regular semigroups was initiated in 1941 [1] by A. H. Clifford it was not until 1968 that it was shown by D. B. McAlister [5] that Fcrx exists. More recently, in [7], M. Petrich demonstrated the existence of Fcrx by showing that completely regular semigroups form a variety of unary semigroups (that is, semigroups with the additional operation of inversion).
1990 ◽
Vol 49
(1)
◽
pp. 24-42
◽
1977 ◽
Vol 29
(6)
◽
pp. 1171-1197
◽
1988 ◽
Vol 109
(3-4)
◽
pp. 329-339
1990 ◽
Vol 32
(2)
◽
pp. 137-152
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1997 ◽
Vol 40
(3)
◽
pp. 457-472
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2021 ◽
Vol 12
(3)
◽
pp. 5150-5155
2018 ◽
Vol 7
(2.13)
◽
pp. 306
1983 ◽
Vol 35
(2)
◽
pp. 227-235
◽