"Unit" Versus "Ring With Unit"
In ring theory, in a given ring R any element with a multiplicative inverse is called a unit of the ring, i.e., the term may refer to any invertible element, not only the unit element 1R. The term ring with a unit is nevertheless well-defined, because in order to define the notion of invertible, the ring must have a unit element 1R. Thus, a ring with "any" unit is always a unital ring.
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Famous quotes containing the words unit and/or ring:
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