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Research in Mathematics

The List of my Research Papers in Mathematics


  • 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:

  • 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

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