Al-Jabar (Dec 2020)

Algebraic Structure of Supernilpotent Radical Class Constructed from a Topology Thychonoff Space

  • Puguh Wahyu Prasetyo,
  • Dian Ariesta Yuwaningsih,
  • Burhanudin Arif Nurnugroho

DOI
https://doi.org/10.24042/ajpm.v11i2.6897
Journal volume & issue
Vol. 11, no. 2
pp. 331 – 338

Abstract

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A radical class of rings is called a supernilpotent radicals if it is hereditary and it contains the class for some positive integer In this paper, we start by exploring the concept of Tychonoff space to build a supernilpotent radical. Let be a Tychonoff space that does not contain any isolated point. The set of all continuous real-valued functions defined on is a prime essential ring. Finally, we can show that the class of rings is a supernilpotent radical class containing the matrix ring .

Keywords