In abstract algebra, the idea of an inverse element generalises the concept of a negation, in relation to addition, and a reciprocal, in relation to multiplication. The intuition is of an element that can 'undo' the effect of combination with another given element. While the precise definition of an inverse element varies depending on the algebraic structure involved, these definitions coincide in a group.
Read more about Inverse Element: Examples
Famous quotes containing the words inverse and/or element:
“The quality of moral behaviour varies in inverse ratio to the number of human beings involved.”
—Aldous Huxley (1894–1963)
“What was any art but an effort to make a sheath, a mould in which to imprison for a moment the shining, elusive element which is life itself—life hurrying past us and running away, too strong to stop, too sweet to lose?”
—Willa Cather (1873–1947)