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Zero divisor

From Encyclopedia of Mathematics
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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 .


Comments

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 .

How to Cite This Entry:
Zero divisor. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Zero_divisor&oldid=31427
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article