Research in Mathematics

The List of my Research Papers in Mathematics

1. Algebraic properties of Indigenous semirings (accepted for publication)

2. Distinguished elements in semiring extension

3. Some remarks on the comparability of ideals in semirings

4. Amount algebras

5. Algebraic properties of expectation semirings

6. Eversible and reversible semigroups and semirings

7. On 2-absorbing ideals of commutative semirings

8. On graphs of bounded semilattices

9. On zero-divisors of semimodules and semialgebras

10. Some remarks on ideals of commutative semirings

11. Some remarks on semirings and their ideals

12. Finitely additive, modular and probability functions on pre-semirings

13. Pseudocomplementation and minimal prime ideals in semirings

14. Auslander modules

15. Valuation semirings

16. Invertible ideals and Gaussian semirings

17. On the Anderson-Badawi ω conjecture

18. On the content of polynomials over semirings and its applications

19. Zero-divisor graphs of nilpotent-free semigroups

20. Zero-divisors of semigroup modules

21. Zero-divisors of content algebras

22. Modules having very few zero-divisors

23. M-cancellation ideals

Algorithms and Computation Project:

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

2. On Hardy’s apology numbers

3. A computational criterion for the irrationality of some real numbers

4. A generalization of zero divisor graphs

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

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

7. On the tenacity of cycle permutation graph

8. A survey on stability measure of networks