Lorenzo Guerrieri

most citedThe reciprocal complement of a polynomial ring in several variables over a field

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math.AC2024

The reciprocal complements of classes of integral domains

Lorenzo Guerrieri

Given an integral domain $D$ with quotient field $Q (D)$ , the reciprocal complement of $D$ is the subring $R (D)$ of $Q (D)$ whose elements are all the sums $\frac…

math.AC2024★ 2 cited

The reciprocal complement of a polynomial ring in several variables over a field

Neil Epstein, Lorenzo Guerrieri, K. Alan Loper

The *reciprocal complement* $R (D)$ of an integral domain $D$ is the subring of its fraction field generated by the reciprocals of its nonzero elements. Many properties of $R (D)$ ar…