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Fernanda D. de Melo Hernández

Publications and source records attributed to Fernanda D. de Melo Hernández.

2 recordsLinked to original sources

About quadratic residues in a class of rings

Let $R$ be a commutative ring with a collection of ideals $\{ N_1, N_2, \dots, N_{k-1}\}$ satisfying certain conditions, properties of the set of invertible quadratic residues of the ring $R$ are described in terms of properties of the set of invertible quadratic residues of the quotient ring $R/N_1$.

math.AC↗

On idempotents of a class of commutative rings

In the present work, a procedure for determining idempotents of a commutative ring having a sequence of ideals with certain properties is presented. As an application of this procedure, idempotent elements of various commutative rings are determined. Several examples are included illustrating the main results.

math.RA↗