The First Theorem on UP-Biisomorphism Between UP-Bialgebras

Abstract

The concept of UP-bialgebras was introduced and analyzed  by Mosrijai and Iampan at the beginning of 2019. In this article we analyzed a UP-biisomorphism between UP-bialgebras.

Keywords

• UP-algebra,UP-ideal,UP-homomorphism,UPB-algebra,UPB-ideal,UPB-homomorphism

References

1. [1] A. Iampan. A new branch of the logical algebra: UP-algebras. J. Algebra Relat Top., 5(1)(2017), 35-–54.
2. [2] A. Iampan. The UP-isomorphism theorems for UP-algebras. Discuss. Math. General Al. Appl., 39(1)(2019), 113–123.
3. [3] W. B. V. Kandasamy. Bialgebraic structures and Smarandache bialgebraic structures. India: American Research Press, 2003.
4. [4] P. Mosrijai, A. Satirad and A. Iampan. The new UP-isomorphism theorems for UP-algebras in the meaning of the congruence determined by a UP-homomorphism, Fund. J. Math. Appl., 1(1)(2018), 12–17.
5. [5] P. Mosrijai and A. Iampan. A new branch of bialgebraic structures: UP-bialgebras. J. Taibah University Sci., 13(1)(2019), 450-–459.
6. [6] D. A. Romano. Proper UP-filters in UP-algebra. Universal J. Math. Appl., 1(2)(2018), 98–100.
7. [7] D. A. Romano. Some properties of proper UP-filters of UP-algebras. Fund. J. Math. Appl., 1(2)(2018), 109–111.
8. [8] D. A. Romano. Notes on UP-ideals in UP-algebras. Comm. Adv. Math. Sci., 1(1)(2018), 35–38.