Some types of UP-filters in UP-algebras

Authors

  • Zahra Parvizi Shahrekord Branch, Islamic Azad University, Shahrekord
  • Somayeh Motamed Bandar Abbas Branch, Islamic Azad University, Bandar Abbas
  • Farhad Khaksar Haghani Shahrekord Branch, Islamic Azad University, Shahrekord

Keywords:

UP-algebra, Nodal UP-filter, Normal UP-filter, Prime UP-filter.

Abstract

In this paper, the researchers defined the notions of normal, prime and nodal UP-filters in UP-algebras and investigated several properties of them. Also, the researchers state and proved some theorems in order to determine the relationships between this notions and some types of UP-filters in a UP-algebra and by some examples the researchers show that these notions are different.

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Published

2022-07-31

Issue

Section

Vol. 16, No. 12, (2022)