Congruences and Green's relations on eventually regular semigroups
1987 ◽
Vol 43
(1)
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pp. 64-69
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Keyword(s):
AbstractA semigroup is eventually regular if each of its elements has some power that is regular. Let 𝓚 be one of Green's relations and let ρ be a congruence on an eventually regular semigroup S. It is shown for 𝓚 = 𝓛, 𝓡 and 𝓓 that if A and B are regular elements of S/ρ that are 𝓚-related in S/ρ then there exist elements a ∈ A, b ∈ B such that a and b are 𝓚-related in S. The result is not true for 𝓗 or 𝓙.
2012 ◽
Vol 87
(3)
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pp. 462-479
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1978 ◽
Vol 25
(1)
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pp. 45-65
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2009 ◽
Vol 86
(2)
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pp. 177-187
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2014 ◽
Vol 24
(05)
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pp. 531-551
1972 ◽
Vol 13
(2)
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pp. 167-175
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2017 ◽
Vol 16
(12)
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pp. 1750223
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Keyword(s):
1988 ◽
Vol 45
(3)
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pp. 320-325
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2018 ◽
Vol 11
(04)
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pp. 1850048
Keyword(s):
2006 ◽
Vol 26
(1)
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pp. 85
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