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An example of a semigroup where a D-class is a subsemigroup but not bisimple.
Semigroup forum, Tome 1 (1970), pp. 182-183 Cet article a éte moissonné depuis la source European Digital Mathematics Library

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@article{SF_1970__1_133789,
     author = {H.R.K. Iyengar},
     title = {An example of a semigroup where a {D-class} is a subsemigroup but not bisimple.},
     journal = {Semigroup forum},
     pages = {182--183},
     year = {1970},
     volume = {1},
     zbl = {0207.03103},
     url = {http://geodesic.mathdoc.fr/item/SF_1970__1_133789/}
}
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EP  - 183
VL  - 1
UR  - http://geodesic.mathdoc.fr/item/SF_1970__1_133789/
ID  - SF_1970__1_133789
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%A H.R.K. Iyengar
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%J Semigroup forum
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%F SF_1970__1_133789
H.R.K. Iyengar. An example of a semigroup where a D-class is a subsemigroup but not bisimple.. Semigroup forum, Tome 1 (1970), pp. 182-183. http://geodesic.mathdoc.fr/item/SF_1970__1_133789/