Browsing by Author "Ojiema, Michael Onyango"
Now showing items 1-13 of 13
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Automorphism Groups of Regular Elements with Von-Neumann Inverses of Local Near-Rings Admitting Frobenius Derivations
(Asian Research Journal of Mathematics, 2023-01-28)This paper presents the classification of the invariant subgroups of the automorphism groups of the regular elements obtained from finite local near-rings, the appropriate algebraic structure to study non-linear functions on ... -
Computation of the Fault-Tolerant Metric Dimension of Certain Networks
(Mathematical Problems in Engineering, 2022-03-21)*e notion of metric dimension originated in the twentieth century by the work done by Slater [1, 2] and latter independently by Harary and Melter [2]. *e initial concept was introduced to locate the intruder in any ... -
Fault-Tolerant Partition Resolvability of Cyclic Networks
(2021-12-16)Graph invariants provide an amazing tool to analyze the abstract structures of networks. The interaction and interconnection between devices, sensors, and service providers have opened the door for an eruption of mobile ... -
Local Fractional Strong Metric Dimension of Certain Complex Networks
(Complexity, 2023-05-05)Fractional variants of distance-based parameters have application in the fields of sensor networking, robot navigation, and integer programming problems. Complex networks are exceptional networks which exhibit significant ... -
Matrices of the Zero Divisor Graphs of Classes of 3-Radical Zero Completely Primary Finite Rings
(SCIENCE MUNDI, 2024-05-16)The study of finite completely primary rings through the zero divisor graphs, the unit groups and their associated matrices, and the automorphism groups have attracted much attention in the recent past. For the Galois ring ... -
Mostar Index of Cycle-Related Structures
(Journal of Chemistry, 2022-03-07)A topological index is a numerical quantity associated with the molecular structure of a chemical compound. This number remains fixed with respect to the symmetry of a molecular graph. Diverse research studies have shown ... -
On Certain Spaces of Ideal Operators
(SCIENCE MUNDI, 2023-11-16)We determine some important spaces of ideal operators and ideal characteristics. Special consideration is given to Frechet spaces, Spaces of finite rank operators and spaces of Hahn-Banach extension operators. The ... -
On Some Aspects of Compactness in Metric Spaces
(AFRICAN SCIENTIFIC ANNUAL REVIEW, 2024-04-17)In this paper, we investigate the generalizations of the concepts from Heine-Borel Theorem and the Bolzano-Weierstrass Theorem to metric spaces. We show that the metric space X is compact if every open covering has a finite ... -
On The Sum of Three Square Formula
(SCIENCE MUNDI, 2023-11-30)Let n,x,y,z be any given integers. The study of n for which n = x2 +y2 + z2 is a very long-standing problem. Recent survey of sizeable literature shows that many researchers have made some progress to come up with algorithms ... -
On the Zero Divisor and Cayley Graphs of Some Classes of the 2-Radical Index of Nilpotence Finite Local Rings
(Journal of Advances in Mathematics and Computer Science, 2022-07-08)The characterization of finite local rings via the well known structures of their zero divisor graphs and cayley graphs remains an open problem. Some classes of completely primary finite rings which are local, have however ... -
Regular Elements and Von-Neumann Inverses of a Class of Zero Symmetric Local Near-Rings Admitting Frobenius Derivations
(Asian Research Journal of Mathematics, 2023-01-01)Let N be a zero-symmetric local near-ring. An element x ∈ N is either regular, zero or a zero divisor. In this paper, we construct a class of zero symmetric local near-ring of characteristic p k ; k ≥ 3 admitting an ... -
Unit Groups of Some Classes of Power Four Radical Zero Commutative Completely Primary Finite Rings
(International Journal of Algebra, 2014)Let R be a completely primary finite ring and J be its Jacobson radical. A class of such rings in which J4 = (0), J3 = (0) has been constructed. Moreover, the structures of their groups of units have been determined ...
