Browsing by Author "Ibrahim, G.R."

Now showing 1 - 6 of 6
  • Thumbnail Image
    Item
    Certain operator algebras of star-like reducible P ω∗transformations
    (American Mathematical Society., 2024) Akinwunmi, S.A; Ibrahim, G.R.; Adeniji, A. O.
    Let denote a distinct non-negative n-order collection of numbers, and denote a star-like transformation semigroup. The characterization of star-like partial on the leads to the semigroup of linear operators. The research produced a completely new classical metamorphosis that was divided into inner product and norm parts. The study demonstrated that any specific star-like transformation is stable and uniformly continuous if there exists\(T^{\vartheta^*}:(V^*,\left\langle v-\alpha^* u, u-\alpha^* v\right\rangle)\longrightarrow (V^*,\left\langle u-\alpha^* v, v-\alpha^* u\right\rangle)\) with a star-like polygon of such that Every star-like composite vector space can be uniquely decomposed as the sum of subspaces and such that The study suggests that the research's findings be used to address issues in the mathematical disciplines of genetics, engineering, code theory, and telecommunications.
  • Thumbnail Image
    Item
    Factorization in Phase-Space Finite Geometry and Weak Mutually Unbiased Bases
    (Nigeria Society of Physical Sciences, 2023) A. D. Adesholaa; , S. O. Oladejo; , A. O. Abdulkareem; Ibrahim, G.R.
    A phase-space factorization of lines in finite geometry G(m) with variables in Zm and its correspondence in finite Hilbert space H(m) for m a non-prime was discussed. Using the method of Good [15], lines in G(m) were factorized as products of lines G(mi) where mi is a prime divisor of m. A lattice was formed between the non trivial sublines of G(m) and lines of G(mi) and between a subspace of H(m) and bases of H(mi) and existence of a link between lines in phase space finite geometry and bases in Hilbert space of finite quantum systems was discussed.
  • Thumbnail Image
    Item
    RESULTS ON ORDER DECREASING FULL TRANSFORMATION SEMIGROUP VIA TROPICAL GEOMETRY
    (Canadian University Dubai, UAE, 2022) Bakare, G.N.; Ibrahim, G.R.; Usamot, I.F; Oyebo, Y. T.
    Abstract. Let DΥη be the subsemigroup of order decreasing full transforma tion on Ωη = {1, 2, · · · , η} . In this paper, the tropical geometry were applied on DΥη for 1 ≤ η ≤ 4. The elements in DΥη of classical algebra were degen erated into tropical polynomial and some results were obtained through their tropical curve.
  • Thumbnail Image
    Item
    Some combinatorial results on Green's relation of partial injective transformation semigroup
    (SCIK Publishing Corporation, 2015) Ibrahim, G.R.
    In this paper, we characterized the Green’s relation on; the contraction mapping injective partial transformation semigroup on n-objects. Using two parameters. We found that the order of L-classes and are the same but is different.
  • 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
    Some Properties Of Symmetric Inverse Semigroup and Some Of it's Subsemigroup
    (Mathematical Association Of Nigeria(MAN), 2013) Ibrahim, G.R.; Bakare, G.N.
    In this paper, we studied the number of Nilpotent elements of order-preserving one-one partial transformation semigroup and number of Nilpotent elements of order decreasing +order preserving partial transformation semigroup . also, we showed that every idempotent of partial one-one transformation semigroup is contraction mapping.