In mathematics, an absorbing element is a special type of element of a set with respect to a binary operation on that set. The result of combining an absorbing element with any element of the set is the absorbing element itself. In semigroup theory, the absorbing element is called a zero element because there is no risk of confusion with other notions of zero. In this article the two notions are synonymous. An absorbing element may also be called an annihilating element.
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Famous quotes containing the words absorbing and/or element:
“I do not find fault with equality for drawing men into the pursuit of forbidden pleasures, but for absorbing them entirely in the search for the pleasures that are permitted.”
—Alexis de Tocqueville (1805–1859)
“Other sins only speak; murder shrieks out:
The element of water moistens the earth,
But blood flies upwards, and bedews the heavens.”
—John Webster (1580–1625)