Browsing by Author "Akinwunmi, S. A."

Now showing 1 - 4 of 4
  • Thumbnail Image
    Item
    Some Combinatorial Results on Star-Like Transformation Semigroup T αω∗
    (Mathematical Association of Nigeria, 2022) Ibrahim, G.R.; Lawal, O.J.; Akinwunmi, S. A.; Bakare, G.N.; Adeshola, A.D
    Let Xn be a finite set and star-like full transformation semi group T αω∗Tn of Xn. Let Height of α∗ be H+(α) = | Imα∗|, Fixed ) = | {x ∈ X : xα∗ = x} |, Idem potent of αn were character ized using the general method and definitions. The methods employed in carrying out this research work were that the elements in each of the functions were listed and some tables were formed for H+(α), J
  • Thumbnail Image
    Item
    Sum-Difference Model for Production of a Star-Like Harmonic Oscillator Transformation Semigroup
    (NIPES Pub., 2025-05-20) Akinwunmi, S. A.; Bakare, G.N.; Ogbu, A.O.; Garba, R.I
    This study introduces a novel sum-difference model for generating a star-like harmonic oscillator transformation semigroup, based on combinatorial properties of partial transformations over the finite set ?? = {1, 2, 3… , ?}. A partial transformation on ?? is defined as a mapping from a subset ?∗ . Using this framework, we construct a generalized two-dimensional star-like harmonic structure to produce ordered sequences and visualizable transformations. Specifically, for transformations ?∗, ?∗, ?∗ ∈ ??? ∗ , the cardinality |??? ∗ | is modeled as 1 2 ??∗ = ??∗−??∗ 2 4?∗?∗ which governs the generation of star-like sequences and image mappings. The paper presents a unified analytical approach to deriving these results using a star-like sumdifference operator. We further establish new harmonic oscillator relations within the semigroup, supported by proofs of key combinatorial functions. This research contributes to the development of algebraic methods in harmonic transformation theory and lays a foundation for future applications in signal modeling, automata theory, and abstract algebraic systems.
  • Thumbnail Image
    Item
    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.
  • Thumbnail Image
    Item
    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.