The center of a semigroup is actually a subsemigroup.
2.
A subsemigroup which is also a group is called a "'subgroup " '.
3.
The subsemigroup of group elements that take the Siegel upper half plane into itself has a natural double cover.
4.
The class ACC 0 is the family of languages accepted by a NUDFA over some monoid that does not contain an unsolvable group as a subsemigroup.
5.
An epigroup is unipotently partionable iff it contains no subsemigroup that is an ideal extension of an unipotent epigroup by " B 2 ".
6.
In a different vein, ( a subsemigroup of ) the multiplicative semigroup of elements of a domain, like the integers ) has the cancellation property.
7.
Thus a transformation semigroup ( or monoid ) is just a subsemigroup ( or submonoid ) of the full transformation monoid of " X ".
8.
The results in this section actually hold for any element " a " of an arbitrary semigroup and the monogenic subsemigroup \ langle a \ rangle it generates.
9.
Also, if a regular semigroup S has a p-system that is multiplicatively closed ( i . e . subsemigroup ), then S is an inverse semigroup.
10.
Staying within the world of semigroups, Green's relations can be extended to cover relative ideals, which are subsets that are only ideals with respect to a subsemigroup ( Wallace 1963 ).
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