Proper UP-filters in UP-algebra

Daniel Romano

doi:10.32323/ujma.417844

Research Article

Proper UP-filters in UP-algebra

Year 2018, , 98 - 100, 26.06.2018

Daniel Romano

https://doi.org/10.32323/ujma.417844

Cited By: 8

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.

Keywords

UP-algebra, UP-ideal, proper UP-filter

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

Daniel Romano

https://doi.org/10.32323/ujma.417844

Cited By: 8

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.