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An example involving a non-regular 
-class in a semigroup
Published online by Cambridge University Press: 09 April 2009
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We answer in the negative (by considering an example) the problem posed in exercise 6 of § 2.3, page 62 [1], namely: If a D-class D of a semigroup S is a subsemigroup of S, then is D necessarily bisimple? For any semigroup T, we let LT, RT, HT, DT and JT denote Green's relations on T.
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- Copyright © Australian Mathematical Society 1972
References
[1]Clifford, A. H. and Preston, G. B., The Algebraic Theory of Semigroups (Math. Surveys, number 7, Amer. Math. Soc., Vol. I 1961).Google Scholar
[2]Clark, W. E., ‘Remarks on the kernel of a matrix semigroup’, Czechoslovak Math. J. 15 (1965) 305–310.CrossRefGoogle Scholar
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