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In mathematics, an invertible element or a unit in a (unital) ring R is any element u that has an inverse element in the multiplicative monoid of R, i.e. an element v such thatuv = vu = 1R, where 1R is the multiplicative identity.The set of units of any ring is closed under multiplication (the product of two units is again a unit), and forms a group for this operation.

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  • In mathematics, an invertible element or a unit in a (unital) ring R is any element u that has an inverse element in the multiplicative monoid of R, i.e. an element v such thatuv = vu = 1R, where 1R is the multiplicative identity.The set of units of any ring is closed under multiplication (the product of two units is again a unit), and forms a group for this operation.
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