Revision as of 16:59, 4 December 2010 by Boris Tsirelson
Formally, let be a binary operation on a set X. An element O of X is absorbing for if
holds for all x in X. An absorbing element, if it exists, is unique.
- The zero (additive identity element) of a ring is an absorbing element for the ring multiplication.
- The zero matrix is the absorbing element for matrix multiplication.
- The empty set is the absorbing element for intersection of sets.
|Some content on this page may previously have appeared on Citizendium.|