Notes on UP-ideals in UP-algebra

Yıl 2018, Cilt: 1 Sayı: 1, 35 - 38, 30.09.2018

Daniel A. Romano

https://doi.org/10.33434/cams.440197

Cited By: 2

Öz

The concept of UP-algebras was introduced and analyzed in 2017 by A. Iampan. In his article, he introduced the concept of UP-ideals in such algebras. In this article, we show that this concept can be determined in some other way than it was done in Iampan's article. In addition, we are more profoundly analyzing UP-ideals in UP-algebras and establish some of their additional properties.

Anahtar Kelimeler

UP-algebra, UP-ideal, UP-homomorphism

Kaynakça

• [1] T. Guntasow, S. Sajak, A. Jomkham and A. Iampan. Fuzzy translations of a fuzzy set in UP-algebras. J. Indones. Math. Soc., 23(2)(2017), 1–19.
• [2] A. Iampan. A new branch the logical algebra: UP-Algebras. J. Algebra Rel. Topics, 5(1)(2017), 35–54.
• [3] A. Iampan. The UP-isomorphism theorems for UP-algebras. arXiv:1808.07370v1 [math.GM]
• [4] W. Kaijae, P. Poungsumpao, S. Arayarangsi and A. Iampan. UP-algebras characterized by their anti-fuzzy UP-ideals and anti-fuzzy UP-subalgebras. It. J. Pure Appl. Math., 36(2016), 667–692.
• [5] P. Mosrijai, W. Kamti, A. Satirad and A. Iampan. Hesitant fuzzy sets on UP-algebras. Konuralp J. Math., 5(2)(2017), 268-–280.
• [6] 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.
• [7] D. A. Romano. Proper UP-filters in UP-algebra. Univ. J. Math. Appl., 1(2)(2018), 98–100.
• [8] D. A. Romano. Some properties of proper UP-filters of UP-algebras. Fund. J. Math. Appl. (To appear)
• [9] J. Somjanta, N. Thuekaew, P. Kumpeangkeaw and A. Iampan. Fuzzy sets in UP-algebras. Annals of Fuzzy Mathematics and Informatics, 12(6)(2016), 739–756.
• [10] K. Tanamoon, S. Sripaeng, and A. Iampan. Q-fuzzy sets in UP-algebras. Songklanakarin J. Sci. Technol., 40(1)(2018), 9–29.