Proper UP-filters in UP-algebra

Daniel Romano

doi:10.32323/ujma.417844

EN

Proper UP-filters in UP-algebra

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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Daniel Romano ^*
Bosnia and Herzegovina

Publication Date

June 26, 2018

Submission Date

April 23, 2018

Acceptance Date

May 18, 2018

Published in Issue

Year 2018 Volume: 1 Number: 2

DOI

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

IZ

https://izlik.org/JA45JE32TN

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

1.Romano D. Proper UP-filters in UP-algebra. Univ. J. Math. Appl. 2018;1(2):98-100. doi:10.32323/ujma.417844

Chicago

Romano, Daniel. 2018. “Proper UP-Filters in UP-Algebra”. Universal Journal of Mathematics and Applications 1 (2): 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

[1]D. Romano, “Proper UP-filters in UP-algebra”, Univ. J. Math. Appl., vol. 1, no. 2, pp. 98–100, June 2018, doi: 10.32323/ujma.417844.

ISNAD

Romano, Daniel. “Proper UP-Filters in UP-Algebra”. Universal Journal of Mathematics and Applications 1/2 (June 1, 2018): 98-100. https://doi.org/10.32323/ujma.417844.

JAMA

1.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, June 2018, pp. 98-100, doi:10.32323/ujma.417844.

Vancouver

1.Daniel Romano. Proper UP-filters in UP-algebra. Univ. J. Math. Appl. 2018 Jun. 1;1(2):98-100. doi:10.32323/ujma.417844