A refined version of the inverse decomposition theorem for modular multiplicative inverse operators
Recently, we started in the IOP Conference Series [1, 2] and in [3] the study of modular multiplicative inverse operators in an algorithmic functional context on (ℤ/ϱℤ)* with ϱ > 3, where it is possible to distinguish different formulas that break up these operators over (ℤ/ϱℤ)*, all this thanks...
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| Published in | Journal of physics. Conference series Vol. 1730; no. 1; pp. 12123 - 12128 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Bristol
IOP Publishing
01.01.2021
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| Online Access | Get full text |
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| Abstract | Recently, we started in the IOP Conference Series [1, 2] and in [3] the study of modular multiplicative inverse operators in an algorithmic functional context on (ℤ/ϱℤ)* with ϱ > 3, where it is possible to distinguish different formulas that break up these operators over (ℤ/ϱℤ)*, all this thanks to the so-called "inverse decomposition theorem (IDT)". In this paper, we will study these issues a little deeper. Though we mainly focus the paper on derived for these operators a refined version of the (IDT), also appear on the scene some additional contributions. Finally, in a brief overview, we compare the differences that exist among the new result here established and the old ones. However, along with this, there are still plenty of questions to be answered in this research field. |
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| AbstractList | Recently, we started in the IOP Conference Series [1, 2] and in [3] the study of modular multiplicative inverse operators in an algorithmic functional context on (ℤ/ϱℤ)* with ϱ > 3, where it is possible to distinguish different formulas that break up these operators over (ℤ/ϱℤ)*, all this thanks to the so-called “inverse decomposition theorem (IDT)”. In this paper, we will study these issues a little deeper. Though we mainly focus the paper on derived for these operators a refined version of the (IDT), also appear on the scene some additional contributions. Finally, in a brief overview, we compare the differences that exist among the new result here established and the old ones. However, along with this, there are still plenty of questions to be answered in this research field. Abstract Recently, we started in the IOP Conference Series [1, 2] and in [3] the study of modular multiplicative inverse operators in an algorithmic functional context on (ℤ /ϱ ℤ)* with ϱ > 3, where it is possible to distinguish different formulas that break up these operators over (ℤ /ϱ ℤ)*, all this thanks to the so-called “inverse decomposition theorem (IDT)”. In this paper, we will study these issues a little deeper. Though we mainly focus the paper on derived for these operators a refined version of the (IDT), also appear on the scene some additional contributions. Finally, in a brief overview, we compare the differences that exist among the new result here established and the old ones. However, along with this, there are still plenty of questions to be answered in this research field. |
| Author | Cortés-Vega, Luis A. |
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| Cites_doi | 10.4067/S0716-09172018000200265 |
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| Copyright | Published under licence by IOP Publishing Ltd 2021. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| References | Cortés–Vega (JPCS_1730_1_012123bib2) 2017; 936 Cortés–Vega (JPCS_1730_1_012123bib3) 2018; 37 Schroeder (JPCS_1730_1_012123bib4) 1997 Cortés–Vega (JPCS_1730_1_012123bib1) 2015; 633 |
| References_xml | – volume: 37 start-page: 265 year: 2018 ident: JPCS_1730_1_012123bib3 article-title: A general method for to decompose modular multiplicative inverse operators over Group of units publication-title: Proyecciones Journal of Mathematics doi: 10.4067/S0716-09172018000200265 contributor: fullname: Cortés–Vega – year: 1997 ident: JPCS_1730_1_012123bib4 contributor: fullname: Schroeder – volume: 633 year: 2015 ident: JPCS_1730_1_012123bib1 article-title: A functional technique based on the Euclidean algorithm with applications to 2-D acoustic di˙ractal di˙users publication-title: J. Phys.: Conf. Ser. contributor: fullname: Cortés–Vega – volume: 936 year: 2017 ident: JPCS_1730_1_012123bib2 article-title: On the decomposition of modular multiplicative inverse operators via a new functional algorithm approach to Bachet’s–Bezout’s Lemma publication-title: J. Phys.: Conf. Ser. contributor: fullname: Cortés–Vega |
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| Title | A refined version of the inverse decomposition theorem for modular multiplicative inverse operators |
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