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About: Null semigroup     Goto   Sponge   NotDistinct   Permalink

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In mathematics, a null semigroup (also called a zero semigroup) is a semigroup with an absorbing element, called zero, in which the product of any two elements is zero. If every element of a semigroup is a left zero then the semigroup is called a left zero semigroup; a right zero semigroup is defined analogously.According to Clifford and Preston, "In spite of their triviality, these semigroups arise naturally in a number of investigations."