Research Article

Notes on UP-ideals in UP-algebra

Volume: 1 Number: 1 September 30, 2018
EN

Notes on UP-ideals in UP-algebra

Abstract

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.

Keywords

UP-algebra,UP-ideal,UP-homomorphism

References

  1. [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. [2] A. Iampan. A new branch the logical algebra: UP-Algebras. J. Algebra Rel. Topics, 5(1)(2017), 35–54.
  3. [3] A. Iampan. The UP-isomorphism theorems for UP-algebras. arXiv:1808.07370v1 [math.GM]
  4. [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. [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. [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. [7] D. A. Romano. Proper UP-filters in UP-algebra. Univ. J. Math. Appl., 1(2)(2018), 98–100.
  8. [8] D. A. Romano. Some properties of proper UP-filters of UP-algebras. Fund. J. Math. Appl. (To appear)
  9. [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. [10] K. Tanamoon, S. Sripaeng, and A. Iampan. Q-fuzzy sets in UP-algebras. Songklanakarin J. Sci. Technol., 40(1)(2018), 9–29.
APA
Romano, D. A. (2018). Notes on UP-ideals in UP-algebra. Communications in Advanced Mathematical Sciences, 1(1), 35-38. https://doi.org/10.33434/cams.440197
AMA
1.Romano DA. Notes on UP-ideals in UP-algebra. Communications in Advanced Mathematical Sciences. 2018;1(1):35-38. doi:10.33434/cams.440197
Chicago
Romano, Daniel A. 2018. “Notes on UP-Ideals in UP-Algebra”. Communications in Advanced Mathematical Sciences 1 (1): 35-38. https://doi.org/10.33434/cams.440197.
EndNote
Romano DA (September 1, 2018) Notes on UP-ideals in UP-algebra. Communications in Advanced Mathematical Sciences 1 1 35–38.
IEEE
[1]D. A. Romano, “Notes on UP-ideals in UP-algebra”, Communications in Advanced Mathematical Sciences, vol. 1, no. 1, pp. 35–38, Sept. 2018, doi: 10.33434/cams.440197.
ISNAD
Romano, Daniel A. “Notes on UP-Ideals in UP-Algebra”. Communications in Advanced Mathematical Sciences 1/1 (September 1, 2018): 35-38. https://doi.org/10.33434/cams.440197.
JAMA
1.Romano DA. Notes on UP-ideals in UP-algebra. Communications in Advanced Mathematical Sciences. 2018;1:35–38.
MLA
Romano, Daniel A. “Notes on UP-Ideals in UP-Algebra”. Communications in Advanced Mathematical Sciences, vol. 1, no. 1, Sept. 2018, pp. 35-38, doi:10.33434/cams.440197.
Vancouver
1.Daniel A. Romano. Notes on UP-ideals in UP-algebra. Communications in Advanced Mathematical Sciences. 2018 Sep. 1;1(1):35-8. doi:10.33434/cams.440197