Proper UP-filters in UP-algebra

Yıl 2018, Cilt: 1 Sayı: 2, 98 - 100, 26.06.2018

Daniel Romano

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

Cited By: 8

Öz

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.

Anahtar Kelimeler

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

Kaynakça

• [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.