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Normal complex

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of a semi-group

A non-empty subset satisfying the following condition: For any (where when contains a unit element and is the semi-group obtained from by adjoining a unit element if does not have one) and any it follows from that . A subset is a normal complex of a semi-group if and only if is a class of some congruence on (cf. Congruence (in algebra)).

References

[1] E.S. Lyapin, "Semigroups" , Amer. Math. Soc. (1974) (Translated from Russian)
How to Cite This Entry:
Normal complex. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Normal_complex&oldid=31680
This article was adapted from an original article by L.N. Shevrin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article