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)
“We must be very suspicious of the deceptions of the element of time. It takes a good deal of time to eat or to sleep, or to earn a hundred dollars, and a very little time to entertain a hope and an insight which becomes the light of our life.”
—Ralph Waldo Emerson (1803–1882)