1 citations · 1 across the 3 of their papers we have counts for
6 papers
About quadratic residues in a class of rings
Fernanda D. de Melo Hernández, Cesar A. Hernández Melo, Horacio Tapia-Recillas
Let be a commutative ring with a collection of ideals satisfying certain conditions, properties of the set of invertible quadratic residues of t…
Fermat's Little Theorem and Euler's Theorem in a class of rings
Fernanda D. de Melo Hernandez, César A. Hernández Melo, Horacio Tapia-Recillas
Considering the ring of integers modulo , the classical Fermat-Euler theorem establishes the existence of a specific natural number satisfying the followin…
On the dimension of ideals in group algebras, and group codes
Elias Javier Garcia Claro, Horacio Tapia Recillas
Several relations and bounds for the dimension of principal ideals in group algebras are determined by analyzing minimal polynomials of regular representations. These results are u…
A recursive construction of units in a class of rings
F. D. de Melo Hernandez, César A. Hernández Melo, Horacio Tapia-Recillas
Let be an associative ring with identity and let be a nil ideal of . It is shown that units of can be lifted to units in . Under some mild conditions on the rin…
On idempotents of a class of commutative rings
Fernanda D. de Melo Hernández, César A. Hernández Melo, Horacio Tapia-Recillas
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 proce…
Proof of Correspondence between Keys and Encoding Maps in an Authentication Code
Juan Carlos Ku-Cauich, Guillermo Morales-Luna, Horacio Tapia-Recillas
In a former paper the authors introduced two new systematic authentication codes based on the Gray map over a Galois ring. In this paper, it is proved the one-to-one onto correspon…