in a ring or a semi-group with zero element
A non-zero element such that the product with some non-zero element is zero. An element is called a left (right) divisor of zero if () for at least one .
Let be a ring and a left module over . Then an element of is called a zero divisor in the module if there is an such that .
Zero divisor. O.A. Ivanova (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Zero_divisor&oldid=17967