Some topologies on d - algebra

Authors

  • Habeeb Kareem Abdulla University of Kufa, Faculty of Education for Girls
  • Haider Jebur Ali Al Mustansiriyah University College Of Science
  • Ahmed Talip Hussein University of AL – Qadisiyah Faculty of Computer Science and Information Technology

Keywords:

d – algebra, stabilizers of a d^#- algebra, topological d – algebra

Abstract

We will give a filter base generating a d#-algebra topology which is a fundamental neighborhood system of zero for that topology and find some properties of that d#-algebra topology and we use the left(right) stabilizers of a d#- algebra (D,∗,0) and produce basis for topology. Then we show that the generated topological space by this basis are connected, locally connected and separable. Also we study the other properties of these topological space.

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Published

2022-03-17

How to Cite

Abdulla, H., Ali, H., & Hussein, A. (2022). Some topologies on d - algebra. Journal of Iraqi AL-Khwarizmi, 2(special), 256–263. Retrieved from https://iraqma.net/journal/index.php/JIKhs/article/view/54