Research Article
BibTex RIS Cite
Year 2018, Volume: 1 Issue: 1, 35 - 38, 30.09.2018
https://doi.org/10.33434/cams.440197

Abstract

References

  • [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.

Notes on UP-ideals in UP-algebra

Year 2018, Volume: 1 Issue: 1, 35 - 38, 30.09.2018
https://doi.org/10.33434/cams.440197

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.

References

  • [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.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Daniel A. Romano

Publication Date September 30, 2018
Submission Date July 3, 2018
Acceptance Date September 17, 2018
Published in Issue Year 2018 Volume: 1 Issue: 1

Cite

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 Romano DA. Notes on UP-ideals in UP-algebra. Communications in Advanced Mathematical Sciences. September 2018;1(1):35-38. doi:10.33434/cams.440197
Chicago Romano, Daniel A. “Notes on UP-Ideals in UP-Algebra”. Communications in Advanced Mathematical Sciences 1, no. 1 (September 2018): 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 D. A. Romano, “Notes on UP-ideals in UP-algebra”, Communications in Advanced Mathematical Sciences, vol. 1, no. 1, pp. 35–38, 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 2018), 35-38. https://doi.org/10.33434/cams.440197.
JAMA 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, 2018, pp. 35-38, doi:10.33434/cams.440197.
Vancouver Romano DA. Notes on UP-ideals in UP-algebra. Communications in Advanced Mathematical Sciences. 2018;1(1):35-8.

Creative Commons License
The published articles in CAMS are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License..