Research Article
BibTex RIS Cite

Proper UP-filters in UP-algebra

Year 2018, , 98 - 100, 26.06.2018
https://doi.org/10.32323/ujma.417844

Abstract

In this paper we introduce and discus a concept of proper UP-filters in UP-algebras. We present a connection between proper UP-filters and UP-ideals. We expect this concept of filters to play a significant role in research and understanding of algebras.

References

  • [1] W.A. Dudek. On proper BCC-algebras. Bull. Inst. Math. Academia Sinica, 20(2)(1992), 137–150.
  • [2] W.A. Dudek and X. Zhang. On ideals and congruences in BCC-algebras. Czechoslovak Math. Journal, 48(1)(1998), 21–29.
  • [3] A. Iampan. A new branch the logical algebra: UP-Algebras. J. Algebra Rel. Topics, 5(1)(2017), 35–54.
  • [4] C. Prabpayak and U. Leerawat. On ideas and congruences in KU-algebras. Sciencia Magna, 5(1)(2009), 54–57.
  • [5] C. Prabpayak and U. Leerawat. On Isomorphisms of KU-algebras. Sciencia Magna, 5(3)(2009), 25–31.
  • [6] 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.
Year 2018, , 98 - 100, 26.06.2018
https://doi.org/10.32323/ujma.417844

Abstract

References

  • [1] W.A. Dudek. On proper BCC-algebras. Bull. Inst. Math. Academia Sinica, 20(2)(1992), 137–150.
  • [2] W.A. Dudek and X. Zhang. On ideals and congruences in BCC-algebras. Czechoslovak Math. Journal, 48(1)(1998), 21–29.
  • [3] A. Iampan. A new branch the logical algebra: UP-Algebras. J. Algebra Rel. Topics, 5(1)(2017), 35–54.
  • [4] C. Prabpayak and U. Leerawat. On ideas and congruences in KU-algebras. Sciencia Magna, 5(1)(2009), 54–57.
  • [5] C. Prabpayak and U. Leerawat. On Isomorphisms of KU-algebras. Sciencia Magna, 5(3)(2009), 25–31.
  • [6] 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.
There are 6 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Daniel Romano

Publication Date June 26, 2018
Submission Date April 23, 2018
Acceptance Date May 18, 2018
Published in Issue Year 2018

Cite

APA Romano, D. (2018). Proper UP-filters in UP-algebra. Universal Journal of Mathematics and Applications, 1(2), 98-100. https://doi.org/10.32323/ujma.417844
AMA Romano D. Proper UP-filters in UP-algebra. Univ. J. Math. Appl. June 2018;1(2):98-100. doi:10.32323/ujma.417844
Chicago Romano, Daniel. “Proper UP-Filters in UP-Algebra”. Universal Journal of Mathematics and Applications 1, no. 2 (June 2018): 98-100. https://doi.org/10.32323/ujma.417844.
EndNote Romano D (June 1, 2018) Proper UP-filters in UP-algebra. Universal Journal of Mathematics and Applications 1 2 98–100.
IEEE D. Romano, “Proper UP-filters in UP-algebra”, Univ. J. Math. Appl., vol. 1, no. 2, pp. 98–100, 2018, doi: 10.32323/ujma.417844.
ISNAD Romano, Daniel. “Proper UP-Filters in UP-Algebra”. Universal Journal of Mathematics and Applications 1/2 (June 2018), 98-100. https://doi.org/10.32323/ujma.417844.
JAMA Romano D. Proper UP-filters in UP-algebra. Univ. J. Math. Appl. 2018;1:98–100.
MLA Romano, Daniel. “Proper UP-Filters in UP-Algebra”. Universal Journal of Mathematics and Applications, vol. 1, no. 2, 2018, pp. 98-100, doi:10.32323/ujma.417844.
Vancouver Romano D. Proper UP-filters in UP-algebra. Univ. J. Math. Appl. 2018;1(2):98-100.

Cited By



Pseudo-UP ideals and pseudo-UP filters in pseudo-UP algebras
Mathematical Sciences and Applications E-Notes
Daniel A. ROMANO
https://doi.org/10.36753/mathenot.630110

Two Types of Prime UP-Filters of Meet-Commutative UP-Algebras
Turkish Journal of Mathematics and Computer Science
Daniel A. ROMANO
https://doi.org/10.47000/tjmcs.789131

Pseudo-Valuations on UP-Algebras
Universal Journal of Mathematics and Applications
Daniel A. Romano
https://doi.org/10.32323/ujma.556269

Notes on UP-ideals in UP-algebra
Communications in Advanced Mathematical Sciences
Daniel A. Romano
https://doi.org/10.33434/cams.440197

Some Properties of Proper UP-Filters of UP-Algebras
Fundamental Journal of Mathematics and Applications
Daniel A. Romano
https://doi.org/10.33401/fujma.439246

The Third Isomorphism Theorem on UP-Bialgebras
Fundamental Journal of Mathematics and Applications
Daniel A. Romano
https://doi.org/10.33401/fujma.552192

 23181

Universal Journal of Mathematics and Applications 

29207              

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