Ring theory MOC

Zero-divisor

Let 𝑅 be a ring. A (left) zero-divisor is an element 𝑧 ∈𝑅 which sends some nonzero element to zero when multiplying on the left, #m/def/ring i.e. 𝑧𝑥 =0 for some 𝑥 ∈𝑅 ∖{0}.

See also

• Unit

#state/tidy | #lang/en | #SemBr