A general method for to decompose modular multiplicative inverse operators over Group of units.

  • Luis A. Cortés Vega Antofagasta University.

Resumen

In this article, the notion of modular multiplicative inverse operator (MMIO) ℐϱ : (Z/ϱZ)* → Z/ϱZ, ℐϱ (a) = a-1, 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.

Biografía del autor/a

Luis A. Cortés Vega, Antofagasta University.
Department of Mathematics.

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Publicado
2018-06-07
Cómo citar
[1]
L. Cortés Vega, «A general method for to decompose modular multiplicative inverse operators over Group of units»., PJM, vol. 37, n.º 2, pp. 265-293, jun. 2018.
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