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 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.
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| Main Author: | |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Católica del Norte, Departamento de Matemáticas
2018
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200265 |
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| Summary: | 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. |
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