The Third Isomorphism Theorem on UP-Bialgebras

Year 2019, Volume: 2 Issue: 1, 24 - 27, 17.06.2019

Daniel A. Romano

https://doi.org/10.33401/fujma.552192

Abstract

The concept of UP-bialgebras was introduced and analyzed by Mosrijai and Iampan at the beginning of 2019. Theorem that we can look at as the First theorem on UP-biisomorphism between the UP-bialgebras is given in our forthcoming text [9]. In this article we construct a form of the third theorem on UP-biisomorphism between UP-bialgebras.

Keywords

UP-algebra , UP-ideal , UP-homomorphism , UP-bialgebra , UP-biideal , UP-bihomomorphism , UP-biisomorphism

References

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