— irreducibility, irreducibleness , n. — irreducibly , adv.
/ir'i dooh"seuh beuhl, -dyooh"-/ , adj.
1. not reducible; incapable of being reduced or of being diminished or simplified further: the irreducible minimum.
2. incapable of being brought into a different condition or form.
3. Math.
a. of or pertaining to a polynomial that cannot be factored.
b. of or pertaining to a group that cannot be written as the direct product of two of its subgroups.
[ 1625-35; IR- 2 + REDUCIBLE ]