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Normal sub-semi-group

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of a semi-group

A sub-semi-group satisfying the following condition: For any (for the notation see Normal complex) such that and for any the relations and are equivalent. A subset of is a normal sub-semi-group if and only if it is the complete inverse image of the unit element under some homomorphism of onto a semi-group with unit element.

References

[1] E.S. Lyapin, "Semigroups" , Amer. Math. Soc. (1974) (Translated from Russian)
How to Cite This Entry:
Normal sub-semi-group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Normal_sub-semi-group&oldid=32024
This article was adapted from an original article by L.N. Shevrin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article