Semiring
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Semiring

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High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! In abstract algebra, a semiring is an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse. The term rig is also used occasionally this originated as a joke, suggesting that rigs are rings without negative elements. This last axiom is omitted from the definition of a ring: it follows automatically from the other ring axioms. Here it does not, and it is necessary to state it in the definition. The difference between rings and semirings, then, is t...