Some Properties of Proper UP-Filters of UP-Algebras

Abstract

The concept of UP-algebras was introduced and analyses by A. Iampan. In our recently published article we introduced the concept of proper UP-filter in UP-algebras in a somewhat different way than it is usual in literature. In this paper we analyse some fundamental properties of such determined proper UP-filters in UP-algebras.

Keywords

• UP-algebras,UP-ideals,Proper UP-filters,UP-homomorphism

References

1. [1] A. Iampan, A new branch the logical algebra: UP-Algebras, J. Algebra Relat. Top., 5(1) (2017), 35–54.
2. [2] D. A. Romano, Proper UP-filters in UP-algebras, Univ. J. Math. Appl., 1(2) (2018), 98–100.
3. [3] A. Iampan, The UP-isomorphism theorems for UP-algebras, (2018) arXiv:1808.07370v1 [math.GM].
4. [4] P. Mosrijai, A. Satirad, A. Iampan, The new UP-isomorphism theorems for UP-algebras in the meaning of the congruence determined by a UPhomomorphism, Fund. J. Math. Appl., 1(1) (2018), 12-17.