The First Theorem on UP-Biisomorphism Between UP-Bialgebras

Year 2019, Volume: 7 Issue: 2, 395 - 398, 15.10.2019

Daniel A. Romano

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