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

Abstract: 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 algorit...

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Autor principal:	Cortés Vega,Luis A.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2018
Materias:	Descomposition laws group of units Bezout's theorem modular multiplicative inverse operator algorithmic functional technique Chinese remainder theorem.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200265
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spelling	oai:scielo:S0716-091720180002002652018-05-29A general method for to decompose modular multiplicative inverse operators over Group of unitsCortés Vega,Luis A. Descomposition laws group of units Bezout's theorem modular multiplicative inverse operator algorithmic functional technique Chinese remainder theorem. Abstract: 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.37 n.2 20182018-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200265en10.4067/S0716-09172018000200265
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Descomposition laws group of units Bezout's theorem modular multiplicative inverse operator algorithmic functional technique Chinese remainder theorem.
spellingShingle	Descomposition laws group of units Bezout's theorem modular multiplicative inverse operator algorithmic functional technique Chinese remainder theorem. Cortés Vega,Luis A. A general method for to decompose modular multiplicative inverse operators over Group of units
description	Abstract: 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.
author	Cortés Vega,Luis A.
author_facet	Cortés Vega,Luis A.
author_sort	Cortés Vega,Luis A.
title	A general method for to decompose modular multiplicative inverse operators over Group of units
title_short	A general method for to decompose modular multiplicative inverse operators over Group of units
title_full	A general method for to decompose modular multiplicative inverse operators over Group of units
title_fullStr	A general method for to decompose modular multiplicative inverse operators over Group of units
title_full_unstemmed	A general method for to decompose modular multiplicative inverse operators over Group of units
title_sort	general method for to decompose modular multiplicative inverse operators over group of units
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2018
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200265
work_keys_str_mv	AT cortesvegaluisa ageneralmethodfortodecomposemodularmultiplicativeinverseoperatorsovergroupofunits AT cortesvegaluisa generalmethodfortodecomposemodularmultiplicativeinverseoperatorsovergroupofunits
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A general method for to decompose modular multiplicative inverse operators over Group of units

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