Ugochukwu Rich Ndubuisi

Federal University of Technology Owerri | FUTO · Department of Mathematics

Cyclic groups have been characterised in several ways by so many authors over time, but none of these characterizations have been directly in respect of the main ingredient for which the cyclic nature of a group is hinged on; the generator of the group. In this paper therefore, we feel the need to cover this gap, hence, we characterize a cyclic gro...

Numerous organisations across the globe have significant challenges about corruption, characterised by a systematic, endemic, and pervasive nature that permeates various societal establishments. Hence, we propose the fractional order model of corruption, which encompasses the involvement of corrupt individuals across various stages of education and...

This paper considers linear mappings in paraletrix spaces as an extension of the one given for rhotrix vector spaces. Furthermore, the adjoints of these mappings are given with their application in fractional calculus.

This paper considers representation of rhotrix type A Semigroups in terms of right w-cosets of it's closed rhotrix type A subsemigroup, which is a more general form of representation of rhotrix type A Semigroups than the one given recently by Ndubuisi et al in [12]

Let Xn and X*n be the finite sets {1,2,3,...,n} and {±1,±2,±3,..,±n} respectively. A map α: Xn→Xn is called a transformation on Xn We call α a signed transformation if α: Xn→X*n Let Tn and T˜n be the sets of full and signed full transformations on Xn respectively. The work, w(α) performed by a transformation α is defined as the sum of all the dista...

Background: The reduction of dataset dimensions for better presentation, visualization, postulation testing, and clarification has not been reported by researchers in Nigeria COVID-19 cases. To realize the impact and magnitude of coronavirus (COVID-19) pandemic, univariate statistical analysis is monotonous in describing daily reported datasets. Ho...

The study presents approximate solutions of Schrodinger equation with the Inversely quadratic Hellmann-Kratzer (IQHK) potential. The energy eigenvalues and corresponding wavefunctions are obtained analytically using the Nikiforov-Uvarov (NU) method. The expectation values of inverse position r−1, square of inverse position, r−2, kinetic energy, T,...

Let Xn = {1,2, … ,n} be a finite set. A (partial) transformation α is said to be full if the whole of Xn is the domain which is given as Dom(a) = Xn. A digraph of the transformation Γα is naturally created. In this paper, we characterize the number of strongly connected, strictly unilaterally connected, strictly weakly connected, Hamiltonian, Euler...

This paper presents more results in the theory of paraletrix. These results are simply a characterization of a heart-oriented paraletrix ring, which include paraletrix integral domain, paraletrix polynomial, paraletrix ring functions, differentiation and integration.

In this paper, we study U-ample I-semigroups and obtain its structure theorem. It is proved that a semigroup is a U-ample I-semigroup if and only if it can be expressed by W GBR(M, θ), namely, the weakly generalized Bruck-Reilly extension of a monoid. This result not only extends and amplifies the structure theorem of I-bisimple semigroups given by...

The approximate solutions of Schrödinger equation for the Hua plus modified Eckart potential are obtained using the parametric Nikiforov–Uvarov method. By the use of a suitable approximation to deal with the centrifugal term, we obtained analytical expressions of the eigenvalues and corresponding wave functions. Numerical results of the energy eige...

This paper considers the semigroup of partial transformation P n and investigated the elements of collapse given by c ( α ) = | C ( α ) | = | ∪ t ∈ I m α t α - 1 ≥ 2 | . Consequently, the formular for the total number of collapsible elements for | tα ⁻¹ |= 2 and | tα ⁻¹ |= 3 in P n is presented.

It is known that every completely-simple semigroup is isomorphic to a normalized Rees matrix semigroup over a-monoid. Utilizing this result, we show that the homomorphism of a completely-simple semigroup is a good homomorphism. Consequently, we give a construction theorem of homomorphisms between completely-simple semigroups. This result strengthen...

This paper obtains a characterisation of the congruences on *-simple type A I-semigroups. The *-locally idempotent-separating congruences, strictly *-locally idempotent-separating congruences and minimum cancellative monoid congruences, are characterised.

In this work, three particular types of semigroups are considered namely: the bisimple inverse w-semigroup, the *-bisimple type A w-semigroup and the *-bisimple type A I-semigroup. Their consideration is motivated by a construction known as the Bruck- Reilly extension of a monoid. In addition, the connection between inverse semigroups and type A se...

Gas and kerosene are the two major sources of fuel used at home and industrial cooking. The process of optimizing these resources poses great challenge to industrial cooking and heating. This work examined whether gas and kerosene are rapidly exhausted when heat is applied at high temperature to heating cylinder and stove respectively. At the end,...

In this paper, the translational hull of a left restriction semigroup is considered. We prove that the translational hull of a left restriction semigroup is still of the same type. This result extends the result of Guo and Shum on translational hulls of type A semigroups given in 2003.

In this paper, we study the structure of E-unitary inverse semigroups together with related classes such as proper left ample semigroups and proper left restriction semigroups. Important theorems on proper left ample semigroups and proper left restriction semigroups analogous to the P-theorem for E-unitary inverse semigroups are considered. From th...

In this paper, we investigate the Bruck-Reilly extension of monoids and the Clifford semigroups and then determine when they are E-unitary. This motivates us to characterize E-unitary bisimple inverse w-semigroups and E-unitary simple inverse w-semigroups respectively.

A structure theorem for right adequate semigroups that are Fright abundant otherwise known as right adequate semigroups of type F was given by Cui and Guo. Here we obtain an analogous structure theorem for that of left restriction semigroups: a semigroup is a left restriction semigroup of type F if and only if it is isomorphic to some ℱ(T,Y), where...

This paper studies congruences on a *-bisimple type A I-semigroup in the light of known results in the areas of inverse semigroups and type A í µí¼”-semigroups. It turns out that for a *-bisimple type A I-semigroup, we have the idempotent-separating congruence and the minimum cancellative monoid congruence.

simple type A I-semigroups as the generalized Bruck-Reilly *-extensions is studied and properties obtained. It is proved that a semigroup S is a *-simple type A I-semigroup if and only if it can be expressed as S = GBR * (T, θ) where T is a finite chain of cancellative monoids. Thus the structure of *-simple type A I-semigroups is described and the...

In this paper, some examples of left restriction semigroups are presented. We prove some propositions that help us to understand the class of left restriction semigroups.