Browsing by Author "Adeshola, A.D."

Now showing 1 - 5 of 5
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    Cryptography and Encryption
    (University of Lagos, 2010) Adeshola, A.D.; T. Aliu
    There is a strong need to devise new encryption mechanisms (algorithms) that offer enhanced security assurance, and guarantee the security of information transm itted over computer networks. This has generated a lot of interst, and has made cryptography an area of intrest in research all over the world today. In this study, we study Cryptography through the Euclid’GCD Algorithm Principle.
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    Green’s Equivalence Classes in Full Transformation Semigroups: A Height-based Approach
    (Department of Mathematics, Universitas Negeri Gorontalo, Indonesia, 2025-04-08) Usamot, I. F.; Ibrahim, G.R.; Bakare, G.N.; Adeshola, A.D.; Aliu, T. O.
    Green’s relations constitute five distinct equivalence classes that serve to define the elements of a semigroup. In this work, the equivalence classes within the Full Transformation Semigroup (Tκ) were systematically enumerated according to their respective heights, and the findings derived were subsequently generalized through the application of a combinatorial assertion and their graphical representations included to substantiate the theoretical results
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    Groups and Subgroups in Cryptography
    (University of Lagos, 2009) Adeshola, A.D.; T. Aliu
    This study looks into the Mathematical applications of groups and subgroups in cryptography through Eulier’s Phi Function and Lagrange’s theorem with some definitions, theorems, illustrations and examples.
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    Syntax Recognition in Semi groups
    (University of Nairobi, 2011) Adeshola, A.D.; T. Aliu
    In this paper, we establish the fact that decimal integers are formed from the ten decimal or denary digits 0, …,9; English words are formed from the 26 letters of English alphabet (or 52 if we distinguish between lower and upper case); English sentences are formed from the finite, but large number of English words[2]. This prelimnary study has attempted a description of a core aspect of both Syntax and Semigroup. It endeavours to succintly explain what syntax entails and in chronological norder, a review of major thoughts on syntax evaluation is highlighted. As a way of finding possible areas of relationship in the curious presence of Syntax and Semigroup, section one explains the relationship through logarithm, setion two equally looks at the syntatic nature of prefix, suffix and subwords, and in section three, results are analyzed and finally, conclusion are discussed in section four.
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    Tropical Roots and Their Multiplicities on the Subsemigroup of Order-Decreasing and Order-Preserving Full Transformation
    (Lagos State University (LASU), 2024-12-12) Ibrahim, G. R.; Bakare, G. N.; Usamot, I. F.; Sulyman, O. I; Akinwunmi, S. A.; Adeshola, A.D.
    Let be ordered finite set. The tropical geometry was utilized to analyze the subsemigroup of order-decreasing and order-preserving semigroups, denoted as full transformation . The elements of classical algebra within were transformed into tropical polynomials, allowing for the determination of tropical roots and their multiplicities through the tropical curve, which was visualized using GeoGebra.