Now showing items 41-60 of 69

    • The n-zero-divisor graph of a commutative semigroup 

      Anderson, David F.; Badawi, Ayman (Taylor and Francis, 2022-04-16)
      Let S be a (multiplicative) commutative semigroup with 0, Z(S) the set of zero-divisors of S, and n a positive integer. The zero-divisor graph of S is the (simple) graph Γ(S) with vertices Z(S) ∗ = Z(S) \ {0}, and distinct ...
    • A new characterization of periodic oscillations in periodic difference equations 

      Al-Salman, Ahmad; Al-Sharawi, Ziyad (Elsevier, 2011-11)
      In this paper, we characterize periodic solutions of p-periodic difference equations. We classify the periods into multiples of p and nonmultiples of p. We show that the elements of the set of multiples of p follow the ...
    • A Numerical Investigation of the Buckling of Doubly Clamped Nano-Actuators Governed by an Integro-Differential Equation 

      Yousef, Abdelrahman; Khoury, Suheil; Louhichi, Issam (Springer, 2022)
      In this article, a fixed point iterative scheme involving Green's function is applied to reach a solution for the buckling of nano-actuators under nonlinear forces. Our solution is convergent. The nano-actuators problem ...
    • Numerical modelling of hyperbolic phase change problems: Application to continuous casting 

      Belhamadia, Youssef; Cassol, Guilherme Ozorio; Dubljevic, Stevan (Elsevier, 2023-03)
      Heat diffusion processes are generally modeled based on Fourier’s law to estimate how the temperature propagates inside a body. This type of modeling leads to a parabolic partial differential equation, which predicts an ...
    • On 1-absorbing primary ideals of commutative rings 

      Badawi, Ayman; Celikel, Ece Yetkin (World Scientific, 2019-04-30)
      Let R be a commutative ring with nonzero identity. In this paper, we introduce the concept of 1-absorbing primary ideals in commutative rings. A proper ideal I of R is called a 1-absorbing primary ideal of R if whenever ...
    • On n-semiprimary ideals and n-pseudo valuation domains 

      Anderson, David F.; Badawi, Ayman (Taylor and Francis, 2020-08-14)
    • On phi-Dedekind rings and phi-Krull rings 

      Badawi, Ayman; Anderson, David F. (University of Houston, 2005)
      The purpose of this paper is to introduce two new classes of rings that are closely related to the classes of Dedekind domains and Krull domains. Let H = {R | R is a commutative ring with 1 and Nil(R) is a divided prime ...
    • On phi-Mori rings 

      Badawi, Ayman; Lucas, Thomas G. (University of Houston, 2006)
      A commutative ring R is said to be a phi-ring if its nilradical Nil(R) is both prime and comparable with each principal ideal. The name is derived from the natural map phi from the total quotient ring T(R) to R localized ...
    • On the dot product graph of a commutative ring II 

      Abdulla, Mohammad Ahmad; Badawi, Ayman (International Electronic Journal of Algebra, 2020)
      In 2015, the second-named author introduced the dot product graph associated to a commutative ring A. Let A be a commutative ring with nonzero identity, 1 ≤ n < ∞ be an integer, and R = A × A × · · · × A (n times). We ...
    • On the periodic logistic equation 

      Al-Sharawi, Ziyad; Angelos, James (Elsevier, 2006)
      We show that the 𝒑-periodic logistic equation 𝒳ₙ₊₁ = μₙ mod 𝒑𝒳ₙ(1 - 𝒳ₙ) has cycles (periodic solutions) of minimal periods 1; 𝒑; 2𝒑; 3𝒑; …. Then we extend Singer’s theorem to periodic difference equations, and use ...
    • On the powers of quasihomogeneous Toeplitz operators 

      Aissa, Bouhali; Zohra, Bendaoud; Louhichi, Issam (Springer, 2021)
      In this article, a fixed point iterative scheme involving Green's function is applied to reach a solution for the buckling of nano-actuators under nonlinear forces. Our solution is convergent. The nano-actuators problem ...
    • On Weakly 1-Absorbing Primary Ideals of Commutative Rings 

      Badawi, Ayman; Celikel, Ece Yetkin (World Scientific, 2022)
      Let R be a commutative ring with 1 ≠ 0. In this paper, we introduce the concept of weakly 1-absorbing primary ideal which is a generalization of 1-absorbing primary ideal. A proper ideal I of R is called a weakly 1-absorbing ...
    • On weakly 2-absorbing ideals of commutative rings 

      Badawi, Ayman; Darani, Ahmad Yousefian (University of Houston, 2013)
      Let R be a commutative ring with identity 1 not equal to 0. In this paper, we introduce the concept of a weakly 2-absorbing ideal. A proper ideal I of R is called a weakly 2-absorbing ideal of R if whenever abc is not equal ...
    • Option convergence rate with geometric random walks approximations 

      Leduc, Guillaume (Taylor & Frances Online, 2016)
      We describe a broad setting under which, for European options, if the underlying asset form a geometric random walk then, the error with respect to the Black–Scholes model converges to zero at a speed of 1/𝑛 for continuous ...
    • Path Independence of Exotic Options and Convergence of Binomial Approximations 

      Leduc, Guillaume; Palmer, Kenneth J. (Infopro Digital Risk (IP), 2019)
      The analysis of the convergence of tree methods for pricing barrier and lookback options has been the subject of numerous publications aiming at describing, quantifying, and improving the slow and oscillatory convergence ...
    • Periodic Orbits in Periodic Discrete Dynamics 

      Al-Sharawi, Ziyad (Elsevier, 2008)
      We study the combinatorial structure of periodic orbits of nonautonomous difference equations 𝒳ₙ₊₁ = 𝒇ₙ(𝒳ₙ) in a periodically fluctuating environment. We define the Ӷ-set to be the set of minimal periods that are not ...
    • A projection scheme for phase change problems with convection 

      Haddad, M. El; Belhamadia, Youssef; Deteix, J.; Yakoubi, D. (Elseiver, 2022-01)
      Numerical modeling of phase change problems with convection is known to be computationally expensive. The main challenge comes from the coupling between Navier–Stokes and heat energy equations. In this paper, we develop a ...
    • Ramsey numbers of partial order graphs (comparability graphs) and implications in ring theory 

      Badawi, Ayman; Rissner, Roswitha (De Gruyter, 2020)
      For a partially ordered set(A, ≤), letGA be the simple, undirected graph with vertex set A such that two vertices a ≠ ∈ b A are adjacent if either a ≤ b or b a ≤ . We call GA the partial order graph or comparability graph ...