Normal complex
From Encyclopedia of Mathematics
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=13821
Normal complex. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Normal_complex&oldid=13821
This article was adapted from an original article by L.N. Shevrin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article