left and right unity of ring
If a ring right identity element , i.e. if
then is called the right unity of .
A ring may have several left or right unities (see e.g. the Klein four-ring).
If a ring has both a left unity and a right unity , then they must coincide, since
This situation means that every right unity equals to , likewise every left unity. Then we speak simply of a unity of the ring.
|Title||left and right unity of ring|
|Date of creation||2013-03-22 15:10:54|
|Last modified on||2013-03-22 15:10:54|
|Last modified by||rspuzio (6075)|