Research in Mathematics

The List of my Research Papers in Mathematics

• Distinguished elements in semiring extension

• Some remarks on the comparability of ideals in semirings

• Amount algebras

• Algebraic properties of expectation semirings

• Eversible and reversible semigroups and semirings

• On graphs of bounded semilattices

• On zero-divisors of semimodules and semialgebras

• Some remarks on ideals of commutative semirings

• Some remarks on semirings and their ideals

• Finitely additive, modular and probability functions on pre-semirings

• Pseudocomplementation and minimal prime ideals in semirings

• Auslander modules

• Valuation semirings

• Invertible ideals and Gaussian semirings

• On the Anderson-Badawi ω conjecture

• On the content of polynomials over semirings and its applications

• Zero-divisor graphs of nilpotent-free semigroups

• Zero-divisors of semigroup modules

• Zero-divisors of content algebras

• Modules having very few zero-divisors

• M-cancellation ideals

Algorithms and Computation Project:

• Series solution of high order Abel, Bernoulli, Chini and Riccati equations

• On Hardy’s apology numbers

• A computational criterion for the irrationality of some real numbers

• A generalization of zero divisor graphs

• A novel algorithm to determine the leaf (leaves) of a binary tree from its preorder and postorder traversals

• An improved algorithm to reconstruct a binary tree from its inorder and postorder traversals

• On the tenacity of cycle permutation graph

• A survey on stability measure of networks