- In
abstract algebra, an
epigroup is a
semigroup in
which every element has a
power that
belongs to a subgroup. Formally, for all x in a
semigroup S, there...
- and J are the same; this is also the case in a
rational monoid or in an
epigroup.
There is also a
formulation of D in
terms of
equivalence classes, derived...
-
completely regular semigroups are also
referred to as "unions of groups".
Epigroups generalize this
notion and
their class includes all
completely regular...
- a) such that
akxak = ak. Edwa Shum Higg p. 49 Quasi-periodic semigroup,
epigroup, group-bound semigroup,
completely (or strongly) π-regular semigroup, and...
- S. Thus S must
necessarily be a group. Furthermore,
every cancellative epigroup is also a group. A
commutative semigroup can be
embedded in a
group (i...
-
class is that of quasi-periodic
semigroups (aka group-bound
semigroups or
epigroups) in
which every element of the
semigroup has a
power that lies in a subgroup...
- bs. In general, for an
arbitrary semigroup ≤J is a
subset of ≤M. For
epigroups however, they coincide. Furthermore, if b is a
regular element of S (which...
