Daniel A. ROMANO

Some Properties of Proper UP-Filters of UP-Algebras

ISSN: 2645-8845
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2018
Yayıncı: Fuat USTA

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,

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[1] A. Iampan, A new branch the logical algebra: UP-Algebras, J. Algebra Relat. Top., 5(1) (2017), 35–54.
[2] D. A. Romano, Proper UP-filters in UP-algebras, Univ. J. Math. Appl., 1(2) (2018), 98–100.
[3] A. Iampan, The UP-isomorphism theorems for UP-algebras, (2018) arXiv:1808.07370v1 [math.GM].
[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.