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

https://doi.org/10.24042/ajpm.v11i2.6897

Puguh Wahyu Prasetyo, Dian Ariesta Yuwaningsih, Burhanudin Arif Nurnugroho

Abstract


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


supernilpotent radical, Tychonoff space, prime essential rings

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References


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DOI: https://doi.org/10.24042/ajpm.v11i2.6897

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Creative Commons License
Al-Jabar : Jurnal Pendidikan Matematika is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.