Abstract
In modular arithmetic, we find a valuable concept, the so-called “modular multiplicative inverse” (symbolized by MMI). In precise words, if ℤ/ϱℤ denoted the residue system modulo ϱ, the (MMI) of a ∈ ℤ/ϱℤ, if it exists, is a −1 ∈ ℤ/ϱℤ, such that , where p ≡ q mod ϱ is the usual modular representation of q ∈ ℤ/ϱℤ. This very special element it is one of the most wideley used mathematical concept in science, engineering and subject areas include the particle physics, the analysis and design of algorithms, data structures, databases, and computer architecture. In this paper, we establish a promising decomposition law for (MMI). In this respect, the main purpose of this paper it is shown that it is possible to express the (MMI) in terms of certain modular multiplicative inverse operators (MMIO) all, well-defined on Group of units pre-established. The main point to note here is that the result of this paper, which expands a result originally presented in [3], does not include any special conditions on the parameters involved.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.