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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

CORTES VEGA, Luis A.. A general method for to decompose modular multiplicative inverse operators over Group of units. Proyecciones (Antofagasta) [online]. 2018, vol.37, n.2, pp.265-293. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172018000200265.

In this article, the notion of modular multiplicative inverse operator (MMIO):

where ϱ=b × d >3 with b, d ∈ N, is introduced and studied. A general method to decompose (MMIO) over group of units of the form (Z/ϱZ)* is also discussed through a new algorithmic functional version of Bezout's theorem. As a result, interesting decomposition laws for (MMIO)'s over (Z/ϱZ)* are obtained. Several numerical examples confirming the theoretical results are also reported.

Keywords : Descomposition laws; group of units; Bezout's theorem; modular multiplicative inverse operator; algorithmic functional technique; Chinese remainder theorem..

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