REGULAR SEMIGROUPS WITH NORMAL IDEMPOTENTS
2017 ◽
Vol 103
(1)
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pp. 116-125
In this paper, we investigate regular semigroups that possess a normal idempotent. First, we construct a nonorthodox nonidempotent-generated regular semigroup which has a normal idempotent. Furthermore, normal idempotents are described in several different ways and their properties are discussed. These results enable us to provide conditions under which a regular semigroup having a normal idempotent must be orthodox. Finally, we obtain a simple method for constructing all regular semigroups that contain a normal idempotent.
1980 ◽
Vol 29
(4)
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pp. 475-503
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1996 ◽
Vol 39
(3)
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pp. 425-460
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1997 ◽
Vol 40
(3)
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pp. 457-472
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2009 ◽
Vol 86
(2)
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pp. 177-187
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1973 ◽
Vol 15
(1)
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pp. 27-34
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1972 ◽
Vol 13
(3)
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pp. 335-337
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2020 ◽
Vol 24
(2)
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pp. 139
1988 ◽
Vol 45
(3)
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pp. 320-325
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1991 ◽
Vol 34
(2)
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pp. 179-203
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