On the uniformity space in ZB-algebras


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Authors

  • Ahmed Talip Hussein Department of Mathematics, Faculty of Science, University of AL-Qadisiyah
  • Karrar Saad Hamzah Department of Mathematics, Faculty of Science, University of AL-Qadisiyah

Keywords:

b-algebra, sb-ideal, Uniform topology on B, zb-algebra, Topological zb-algebra.

Abstract

In this paper, we used sb-ideal of an zb-algebra B to make a uniform structure (B, ℜ) and then the part ℜ induce an uniform topology T in B. We demonstrated that the pair (B, ф) is a topological zb-algebra and discussed related properties. Finally, we presented the translation of space (B,TI) and studied some of its properties that we consider essential according to our knowledge

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Published

2023-10-19

How to Cite

Ahmed Talip Hussein, & Karrar Saad Hamzah. (2023). On the uniformity space in ZB-algebras. Results in Nonlinear Analysis, 6(3), 137–143. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/342