Research in Mathematics

The List of my Research Papers in Mathematics

1. Covering conditions for ideals in semirings

2. Algebraic properties of Indigenous semirings

3. Distinguished elements in semiring extension

4. Some remarks on the comparability of ideals in semirings

5. Amount algebras

6. Algebraic properties of expectation semirings

7. Eversible and reversible semigroups and semirings

8. On 2-absorbing ideals of commutative semirings

9. On graphs of bounded semilattices

10. On zero-divisors of semimodules and semialgebras

11. Some remarks on ideals of commutative semirings

12. Some remarks on semirings and their ideals

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

14. Pseudocomplementation and minimal prime ideals in semirings

15. Auslander modules

16. Valuation semirings

17. Invertible ideals and Gaussian semirings

18. On the Anderson-Badawi ω conjecture

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

20. Zero-divisor graphs of nilpotent-free semigroups

21. Zero-divisors of semigroup modules

22. Zero-divisors of content algebras

23. Modules having very few zero-divisors

24. 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